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Take this paper as a timed mock test. Review your answers after you submit.
Read the paper at your pace. Open an explanation when you need it.
Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series.
PZX, QAY, SCA, VFD, ?
AJG
ZJH
ZKH
YKH
Correct answer
ZJH
Why this answer is correct
The pattern follows here is :-
Hence, the correct answer is "ZJH".
A cube is made by folding the given sheet. In the cube so formed, which letter will be on the face opposing to the one showing 'P'?
L
H
A
K
Correct answer
H
Why this answer is correct
| Letter | Opposite |
|---|---|
| F | L |
| A | K |
| P | H |
Hence, the correct answer is "Option 2".
Additional Information
We will take a maximum of 3 faces together at a time.
Then, after dropping the next letter, the first and the last letter will be opposite each other.
As explained below:
F then P is skipped, L will be opposite to F
A then H is skipped, K will be opposite to A
We left with P and H which will be opposite to each other.
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 557 | 835 | 504 |
|---|---|---|
| 447 | 753 | 612 |
| 502 | 794 | ? |
596
552
544
558
Correct answer
558
Why this answer is correct
The pattern followed here is:
557, 447, 502
(557 + 447) ÷ 2
1004 ÷ 2 = 502
835, 753, 794
(835 + 753) ÷ 2
1588 ÷ 2 = 794
So,
504, 612, 558
(504 + 612) ÷ 2
1116 ÷ 2 = 558
Hence, the correct answer is "558".
What was the day of the week on 24th October 2011?
Tuesday
Monday
Saturday
Wednesday
Correct answer
Monday
Why this answer is correct
| No. of Odd days | Simple Year | Leap Year |
|---|---|---|
| 365 ÷ 7 = 52 weeks + 1 odd day | 366 ÷ 7 = 52 weeks + 2 odd day |
| Years | No. of odd days |
|---|---|
| 100 years | 5 |
| 200 years | 3 |
| 300 years | 1 |
| 400 years | 0 |
Note: Multiple of 400 years i.e. 800, 1200, 1600, 2000 have 0 odd days.
Calculating leap year: For Finding number of leap year (1 - 99) years, divide the number of years by 4 and the quotient will be the number of leap years.
Code for weekdays:
| No. of odd days | Day |
|---|---|
| 0 | Sunday |
| 1 | Monday |
| 2 | Tuesday |
| 3 | Wednesday |
| 4 | Thursday |
| 5 | Friday |
| 6 | Saturday |
Total odd days = 0 + 4 + 1 + 3 = 8 days = 1 week + 1 odd day.
1 is the code for "Monday".
Hence, the correct answer is "Monday".
In a code language, 'EAGER' is written as 'BXJBU' and "MARKS' is written as 'PXUNV'. How will 'LOCUST' be written in that language?
OLFRVW
ILZRPQ
OLGRBW
ORFXVW
Correct answer
OLFRVW
Why this answer is correct
The pattern is as follows:
For Vowel → Vowel - 3
For Consonant → Consonant + 3
Hence, the correct answer is OLFRVW.
NOTE : Here, We are not directly added or subtracted from alphabet place value, here we are using the Vowel and consonant concept. As 3 subtracted from vowel and 3 added in consonant.
Select the correct mirror image of the given combination when the mirror is placed at 'PQ' as shown below.
Correct answer
Why this answer is correct
The correct mirror image of the given figure when the mirror is placed at 'PQ' is
Hence, Option 3 is the correct answer.
Additional Information
In a mirror image Left changes to right and the right changes to left vice-versa.
When placement of mirror not given, By default we will assume it in Vertical direction.
The Letter adjacent to the mirror after the mirror image will adjacent to it just with the left change to right and right change to left vice-versa.
The starting letter of the word will be at last after the mirror image drawn with left changes to right and right changes to left.
A paper is folded and cut as shown below. How will it appear when unfolded?
Correct answer
Why this answer is correct
The pattern will be as follows:
Hence, the correct answer is Option 1.
Eight friends A, B, C, D, E, F, G and H are sitting anticlockwise in the same sequence around a circular table at equal distances from each other. All are facing the centre of the table. If G is sitting in the Southeast, then in which direction is A sitting?
South-west
North-west
North
North-east
Correct answer
North-east
Why this answer is correct
Arranging them according to the given information,
Eight friends A , B, C, D, E, F, G and H are sitting anticlockwise,
G is sitting in the Southeast direction,
In the same sequence around a circular table at equal distances,
So, A is sitting in the North - east direction.
Hence, the correct answer is "North - east".
Select the number-pair in which the two numbers are related in the same way as are the two numbers of the following number-pair.
7 : 198
6 : 72
5 : 240
8 : 228
9 : 162
Correct answer
8 : 228
Why this answer is correct
The logic here is,
Second Number = (Square of First number × 2) + 100
7 : 198
(72 × 2) + 100 = (49 × 2) + 100 = 98 + 100 = 198.
Similarly,
(82 × 2) + 100 = (64 × 2) + 100 = 128 + 100 = 228.
8 : 228
Hence, the correct answer is "8 : 228".
If 'A' denotes 'addition', 'B' denotes 'multiplication', 'C' denotes 'subtraction', and 'D' denotes 'division', then what will be the value of the following expression?
15 B (14 C 7) A 25 D (18 C 13) C 8 B (2 A 3) = ?
40
105
70
115
Correct answer
70
Why this answer is correct
Given series is
15 B (14 C 7) A 25 D (18 C 13) C 8 B (2 A 3) = ?
Decoding the given information,
| Letter | Denotes |
|---|---|
| A | + |
| B | × |
| C | - |
| D | ÷ |
Substituting the letters with the operations:
15 × (14 - 7) + 25 ÷ (18 - 13) - 8 × (2 + 3) = ?
BODMAS Rule:
Using BODMAS rule,
15 × 7 + 25 ÷ 5 - 8 × 5
= 15 × 7 + 5 - 8 × 5
= 105 + 5 - 40
= 110 - 40
= 70
Hence, the correct answer is 70.
Which number will replace the question mark (?) in the following series?
16, 32, ?, 192, 576, 1152
96
48
80
64
Correct answer
96
Why this answer is correct
Logic: Each term is increased by multiple of 2 and multiple of 3 number successively start from 2,
The pattern followed here is,
Hence, "96" is the correct answer.
Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series.
AZA, EVW, ?, OLM, UFG
JQS
JRS
IRS
IRV
Correct answer
IRS
Why this answer is correct
The pattern followed here is:
Hence, the correct answer is IRS.
Alternate Method
Hence, the correct answer is IRS.
Select the option in which the given figure (X) is embedded (rotation is NOT allowed).
Correct answer
Why this answer is correct
The image (X) can be seen in the following figure
Hence, the correct answer is "Option (3)".
Select the option figure which is NOT embedded in the figure (X) given below (rotation is NOT allowed).
Correct answer
Why this answer is correct
Important Points
Option 1, 2 and 4 are embedded in the given figure (X) and shown from the color.
Option 2: It is embedded in given figure.
Option 3: It is not embedded in given figure.
Option 4: It is embedded in given figure.
Option 3) is NOT embedded in the figure (X).
Because the lines formed in the middle of this figure are not in the given figure in question.
Hence, "option 3" is the correct answer.
Rs. 2,871 is to be divided among A, B and C in the ratio of 9 : 11 : 13, respectively. How much more money (in Rs.) will C get as compared to A?
Rs. 783
Rs. 348
Rs. 402
Rs. 296
Correct answer
Rs. 348
Why this answer is correct
Given,
Total Amount = Rs. 2,871
Ratio of A : B : C = 9 : 11 : 13 (Given),
Then,
9 + 11 + 13 = 33
33 = 2,871
1= 87
C will get = 87 × 13 = Rs. 1131
A will get = 9 × 87 = Rs. 783
C will get w.r.t A = Rs. (1131 - 783) = Rs. 348
Hence, the correct answer is Rs. 348.
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion logically follow(s) from the statements.
Statements:
Some octopuses are fish.
Some fish are frogs.
Conclusions:
I. Some frogs are fish.
II. Some fish are octopuses.
Only conclusion I follows
Both conclusions follow
Either conclusion I or II follows.
Only conclusion II follows
Correct answer
Both conclusions follow
Why this answer is correct
The possible Venn diagram for the given statements is as below,
Conclusions:
Thus, Both the Conclusions follow.
| Statement | Conclusion (100% true) | Incorrect (100% false) | Can't Say |
|---|---|---|---|
| Some A are B | Some B are A | No A is B. No B is A. | Some A are not B. All B are A. Some B are not A. All A are B. |
Select the correct mirror image of the given combination when the mirror is placed at 'PQ' as shown below.
Correct answer
Why this answer is correct
The correct mirror image of the given figure when the mirror is held at the right side is:
Hence, "Option 1" is the correct answer.
Pointing towards a man, a lady said, "His brother is my mother's only daughter's husband's son's father". How is the man related to the lady's husband?
Brother-in-law
Brother
Father
Paternal uncle
Correct answer
Brother
Why this answer is correct
Family Chart :-
Pointing towards a man, a lady said, "His brother (man's brother) is my mother's (lady's mother) only daughter's husband's son's father".
Here "Lady's mother's only daughter here lady herself".
And lady's husband's son's father will be the lady's husband so that man will be the brother of lady's husband.
Drawing family tree according to the statement,
Family tree :-
Clearly, Lady's husband is the brother of the man.
Hence, the correct answer is "Brother".
Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the face showing '3'.
2
5
1
4
Correct answer
4
Why this answer is correct
In 1st and 2nd Dice, 4 number is common,
So, from 4 start clockwise,
then, 6 is the opposite face of 2 and 5 is the opposite face of 1.
Thus, 4 is the opposite face of 3 and 3 is the opposite face of 4.
Hence, "4" is the correct answer.
Select the option that represents the correct order of the given words as they would appear in English dictionary.
3, 4, 2, 1, 5
3, 4, 2, 5, 1
4, 3, 2, 1, 5
3, 2, 4, 1, 5
Correct answer
3, 4, 2, 1, 5
Why this answer is correct
According to the sequence in the dictionary:
The correct order of the given words is:
iii) Lacerate
iv) Lactation
ii) Lacuna
i) Lexicon
v) Locust
Hence, the correct answer is "3, 4, 2, 1, 5".
Additional Information
In a code language, 'SOGGY' is written as '78' and 'PLINTH' is written as '85'. How will 'DEVOTION' be written in that language?
104
112
120
98
Correct answer
112
Why this answer is correct
The logic followed here is:
SOGGY → 19 + 15 + 7 + 7 + 25 = 73
Number of letters in SOGGY is 5
73 + 5 = 78.
PLINTH → 16 + 12 + 9 + 14 + 20 + 8 = 79
Number of letters in PLINTH is 6
79 + 6 = 85.
Similarly,
DEVOTION → 4 + 5 + 22 + 15 + 20 + 9 + 15 + 14 = 104
Number of letters in DEVOTION is 8
104 + 8 = 112.
Hence, the correct answer is "112".
Which number will replace the question mark (?) in the following series?
25, 36, 51, 70, 93, 120, ?
163
159
141
151
Correct answer
151
Why this answer is correct
The given series is
25, 36, 51, 70, 93, 120, ?
The logic followed for the series is,
Hence, the correct answer is 151.
Select the figure that will replace the question mark (?) in the following figure series.
Correct answer
Why this answer is correct
The pattern followed here is:
| Symbol at: | Moves to: |
|---|---|
| Top left corner | The center |
| The center | Bottom right corner |
| Bottom right corner | Top right corner |
| Top right corner | Bottom left corner |
Hence the correct answer is "Option 2".
Select the Venn diagram that best illustrates the relationship between the following classes.
Car drivers, Human beings, Men
Correct answer
Why this answer is correct
According to the given information,
Car drivers, Human beings, Men
From figure, some men are car drivers such as some car drivers are men but all men and car drivers are human beings.
Hence, "option 3" is the correct answer.
Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series.
POUR, MLRO, IHNK, DCIF, ?
XWBY
XWCZ
YWCA
XVBZ
Correct answer
XWCZ
Why this answer is correct
The pattern is as follows:
Hence, the correct answer is "XWCZ".
'A # B' means 'A is the brother of B'.
'A @ B' means 'A is the wife of B'.
'A & B' means 'A is the daughter of B'.
'A % B' means 'A is the sister of B'.
If P % R & Y @ Z # M % N, then how is M related to P?
Maternal aunt
Paternal uncle
Paternal aunt
Mother
Correct answer
Paternal aunt
Why this answer is correct
Family chart :-
Drawing the family tree,
Family Tree :-
M is sister of Z and P is daughter of Z, so, M is paternal aunt of P.
Hence, the correct answer is "Paternal aunt".
Which number will replace the question mark (?) in the following series?
57, ?, 62, 71, 87, 112, 148
59
60
61
58
Correct answer
58
Why this answer is correct
The pattern follows here is -
Hence, the correct answer is "58".
Select the figure that will replace the question mar (?) in the following figure series.
Correct answer
Why this answer is correct
The Logic followed here is:
The Arrow is moving in his same position Clockwise and the circle is changing its position when the new shape is inserted.
The Square which has 4 sides its side increases by +1 and changes to Pentagon of side 5 same as the Triangle which has 3 sides its side increases by +1 and changes to Square of 4 sides.
Hence, the correct answer is Option 2.
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
QTWZC
RUXAE
BEHKN
HKNQT
Correct answer
RUXAE
Why this answer is correct
The pattern followed is,
Hence, the correct answer is "RUXAE".
In a code language, 'DOUBLE' is written as 'VPEFMC'. How will 'CLIQUE' be written in that language?
KNDFVR
JMDGVQ
JMDFVR
JMDFVS
Correct answer
JMDFVR
Why this answer is correct
The pattern followed is
Similarly,
Hence, the correct answer is JMDFVR.
Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some colleges are schools.
No ground is a college.
Conclusions:
I. No college is a ground.
II. No school is a college.
III. Some schools are colleges.
Only conclusions II and III follow
All of the conclusions follow
Only conclusions I and III follow
Only conclusions I and II follow
Correct answer
Only conclusions I and III follow
Why this answer is correct
The least possible Venn diagram for the given statements is as follow,
Conclusion:
I. No college is a ground → True (It is clear from the Venn diagram that "No college is a ground")
II. No school is a college → False (It is clear from the Venn diagram that definitely "Some schools are colleges")
III. Some schools are colleges → True (It is clear from the Venn diagram that "Some schools are colleges")
Hence, "Only conclusions I and III follow" is the correct answer.
Select the figure that will replace the question mark (?) in the following figure series.
Correct answer
Why this answer is correct
The pattern is as follows:
Middle symbols : Moving anticlockwise.
Oval shaped symbol : Alternate in each figure.
Hence, the correct answer is "Option 4".
Which two numbers should be interchanged to make the given equation correct?
63 ÷ 21 - 42 + 8 × 7 = 135
21 and 42
21 and 8
7 and 63
7 and 21
Correct answer
7 and 21
Why this answer is correct
Given equation is,
63 ÷ 21 - 42 + 8 × 7 = 135
Interchanging numbers and applying BODMAS rule option wise,
(I) 63 ÷ 21 - 42 + 8 × 7 = 135
Interchanging 21 and 42
63 ÷ 42 - 21 + 8 × 7 = 135
1.5 - 21 + 8 × 7 = 135
1.5 - 21 + 56 = 135
1.5 - 35 = 135
-33.5 ≠ 135
(II) 63 ÷ 21 - 42 + 8 × 7 = 135
Interchanging 21 and 8
63 ÷ 8 - 42 + 21 × 7 = 135
7.875 - 42 + 21 × 7 = 135
7.875 - 42 + 147 =135
7.875 + 105 = 135
112.875 ≠ 135
(III) 63 ÷ 21 - 42 + 8 × 7 = 135
Interchanging 7 and 63
7 ÷ 21 - 42 + 8 × 63 = 135
0.33 - 42 + 8 × 63 = 135
0.33 - 42 + 504 = 135
462.33 ≠ 135
(IV) 63 ÷ 21 - 42 + 8 × 7 = 135
Interchanging 7 and 21
63 ÷ 7 - 42 + 8 × 21 = 135
9 - 42 + 8 × 21 = 135
9 - 42 + 168 = 135
9 + 126 = 135
135 = 135.
Hence, "7 and 21" is the correct answer.
Important Points
In this type of questions, where the answer is a whole number,
Look for the option which will have a whole number quotient after the divide.
Like, in this question,
63 is divisible by 21 and 7 only and only one option satisfies this condition.
In a code language, if 'my personal use' is written as '521', 'use these things' is written as '169', 'personal things' is written as '29', then which phrase would the code '569' represent in this language?
these personal things
my personal use
my these things
my personal things
Correct answer
my these things
Why this answer is correct
From the given information,
Code for 'my' is '5'.
Code for 'these' is '6'.
So, code '569' stands for 'my these things'.
Hence, the answer is "my these things".
Select the correct option that indicates the arrangement of the following words in a logical and meaningful order.
4, 1, 2, 5, 3
1, 4, 2, 3, 5
2, 4, 1, 5, 3
1, 4, 2, 5, 3
Correct answer
1, 4, 2, 5, 3
Why this answer is correct
Arranging the given body parts as in the body from bottom to top, we get
So, the correct order is 1, 4, 2, 5, 3.
Hence, the correct answer is Option 4.
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 14 | 4 | 28 |
|---|---|---|
| 21 | 6 | 63 |
| 45 | 8 | ? |
195
180
210
150
Correct answer
180
Why this answer is correct
The Logic followed here is:
The third number = The First number × (second number ÷ 2)
In Row 1,
14 × (4 ÷ 2)
= 14 × 2 = 28
In Row 2,
21 × (6 ÷ 2)
= 21 × 3 = 63
Similarly,
In Row 3,
45 × (8 ÷ 2)
= 45 × 4 = 180
Hence, the correct answer is "180".
Additional Information
The most common pattern asked in exams are based on:
Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
FOREST : TSROFE :: MOVING : ?
VONMIG
GIMNOV
OVINMG
VIMNGI
Correct answer
VONMIG
Why this answer is correct
Logic:
FOREST
After arranging as Alphabet Order,
EFORST
Now, writing this in Reverse order,
TSROFE
Similar,
MOVING
After arranging as Alphabet Order,
GIMNOV
Now, writing this in Reverse Order,
VONMIG
Six friends are sitting in two lines, one line behind the other line, and all the friends are facing north. Each line has three friends. Jogi is sitting between Vikrant and Saroj. Shrikant is sitting just behind Vikrant. Vaani is to the immediate right of Tripti. Which three persons are sitting in the same line?
Jogi, Vikrant and Saroj
VIkrant, Vaani and Tripti
Jogi, Tripti and Vaani
Jogi, Vikrant and Tripti
Correct answer
Jogi, Vikrant and Saroj
Why this answer is correct
Each line has three friends.
Jogi is sitting between Vikrant and Saroj.
Shrikanth is sitting just behind Vikrant.
Case I
Case II
Case I
Case II
Vikrant, Jogi and Saroj are in same line.
Shrikanth, Tripthi and Vaani are in same line.
Hence, the correct answer is "Jogi, Vikrant and Saroj".
The sum of Vishal and Aditi's current ages is 105 years. If Aditi is 25 years younger than Vishal, then what is the current age of Pritam who is 7 years older that Aditi?
40 years
32 years
47 years
72 years
Correct answer
47 years
Why this answer is correct
According to the given information,
The sum of the current ages of Vishal and Aditi is 105 years.
Let the Vishal's age be x
And the Aditi's age be y
x + y = 105 ----(1)
If Aditi is 25 years younger than Vishal then,
x = y + 25 ----(2)
Putting value of equation (2) in equation (1),
y + 25 + y = 105
2y = 80
y = 40
y is Aditi's present age, which is 40.
Pritam is 7 years older than Aditi
So Pritam's age = y + 7 = 40 + 7 = 47.
Hence, the correct answer is 47.
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 19 | 9 | 140 |
|---|---|---|
| 17 | 9 | 130 |
| ? | 5 | 120 |
24
19
28
47
Correct answer
19
Why this answer is correct
Given
| 19 | 9 | 140 |
|---|---|---|
| 17 | 9 | 130 |
| ? | 5 | 120 |
The logic follows here is :-
19 , 9 , 140
(19 + 9) × 5
28 × 5 = 140,
17, 9, 130
(17 + 9) × 5
26 × 5 = 130,
Similarly,
? , 5 , 120
(? + 5) × 5 = 120
(? + 5) = 120 ÷ 5
(? + 5) = 24
? = 24 - 5
? = 19
Hence, the correct answer is 19.
A paper is folded and cut as shown below. How will it appear when unfolded?
Correct answer
Why this answer is correct
The paper when unfolded step by step:
Hence, the correct answer is Option 4.
Select the correct combination of mathematical signs that can sequentially replace the * sign from left to right to balance the following equation.
16 * 35 * 5 * 20 * 4 * 89
×, - , +, ÷, =
×, ÷, +, -, =
-, ×, ÷, +, =
-, ÷, +, ×, =
Correct answer
-, ÷, +, ×, =
Why this answer is correct
Given equation is :-
16 * 35 * 5 * 20 * 4 * 89
Placing mathematical signs at the place of * and using BODMAS rule
(1) 16 * 35 * 5 * 20 * 4 * 89
Placing ×, - , +, ÷, =
16 × 35 - 5 + 20 ÷ 4 = 89
16 × 35 - 5 + 5 = 89
560 - 5 + 5 = 89
555 + 5 = 89
560 ≠ 89.
(2) 16 * 35 * 5 * 20 * 4 * 89
Placing ×, ÷, +, -, =
16 × 35 ÷ 5 + 20 - 4 = 89
16 × 7 + 20 - 4 = 89
112 + 20 - 4 = 89
112 + 16 = 89
128 ≠ 89.
(3) 16 * 35 * 5 * 20 * 4 * 89
Placing -, ×, ÷, +, =
16 - 35 × 5 ÷ 20 + 4 = 89
16 - 35 × 0.25 + 4 = 89
16 - 8.75 + 4 = 89
7.25 + 4 = 89
11.25 ≠ 89.
(4) 16 * 35 * 5 * 20 * 4 * 89
Placing -, ÷, +, ×, =
16 - 35 ÷ 5 + 20 × 4 = 89
16 - 7 + 20 × 4 = 89
16 - 7 + 80 = 89
16+ 73 = 89
89 = 89.
Hence, the correct answer is "-, ÷, +, ×, =".
Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
PORCH : IDSPQ :: MOIST : ?
OPJTU
UTJPN
OMITS
UTJQO
Correct answer
UTJPN
Why this answer is correct
The pattern follows here is
Similarly,
Hence, the correct answer is "UTJPN".
Arjun walks 40 m towards the South from his home, and then he turns left and walks 55 m. Then, he takes another left turn and walks 15 m. Then, he turns left again and walks 55 m. How far is he from his home now?
35 m
15 m
30 m
25 m
Correct answer
25 m
Why this answer is correct
According to the given information, the possible diagram is as below:
As we can see in the diagram, the distance between the final position of Arjun and his home is = 40 - 15 = 25 m.
Hence, the correct answer is "25 m".
In a code language, if 'get up now' is written as 'pax max rax', 'he will get' is written as 'max dax zax', and 'will it stop' is written as 'zax kax lax', then for which word is the code 'dax' used in this language?
get
he
will
it
Correct answer
he
Why this answer is correct
According to the given information,
Code for "Max" is get.
Code for "Zax" is will.
Code for "Dax" is he.
Hence, "he" is the correct answer.
In the following Venn diagram, the 'Rectangle' stands for 'Judges', the 'Triangle' stands for 'Males' and the 'Hexagon' stands for 'Golf players'. The given numbers represent the number of persons in that particular category. How many male judges are there in total?
22
26
34
17
Correct answer
34
Why this answer is correct
From the given diagram,
The 'Rectangle' represents 'Judges', the 'Triangle' stands for 'Males' and the 'Hexagon' stands for 'Golf players'.
Ask: Total number of Judges who are males.
So, we should find common part of Judges and males.
The shaded part represents the Judges who are Males i.e (26 + 8) = 34
Hence, "34" is the correct answer.
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
ZUQO
TOKH
BWSP
KFBY
Correct answer
ZUQO
Why this answer is correct
The pattern is as follows:
Thus, option 2, 3 and 4 are following same pattern and 1st option is not follow this pattern.
Note: B(2) - 5 = (26 + 2) - 5 = 23(W). As alphabet series end at Z(26).
Hence, "ZUQP" is the correct answer.
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 36 | 55 | 49 |
|---|---|---|
| 64 | 47 | 39 |
| 49 | ? | 61 |
68
88
72
120
Correct answer
68
Why this answer is correct
The pattern follows here is:
36, 55, 49
62 = 36
49 + 6 = 55
64, 47, 39
82 = 64
39 + 8 = 47
So,
49, 68, 61
72 = 49
61 + 7 = 68
Hence, the correct answer is 68.
Z's house is 45 m South to P's house. J's house is 50 m South to H's house. Q's house is 30 m West to Z's house. M's house is 50 m North to P's house. H's house is 30 m West to M's house. In which direction and at what distance is J's house with reference to Q's house?
South, 50 m
West, 30 m
North, 45 m
South, 45 m
Correct answer
North, 45 m
Why this answer is correct
Drawing the Diagram in the given information,
So, J's house is 45 m North to Q' house.
Hence, "North, 45 m" is the correct answer.
Which number will replace the question mark (?) in the following series.
46, 66, 94, 132, 182, ?
292
220
246
232
Correct answer
246
Why this answer is correct
The pattern followed here is:
Hence, the correct answer is 246.
Muhammad Ghori was defeated by a ______ ruler in 1191.
Maurya
Chalukya
Chahamana
Gahadavala
Correct answer
Chahamana
Why this answer is correct
The correct answer is Chahamana.
Important Points
______ was elected as President of the Indian National Congress in December 1929 at its annual session in the city of Lahore.
Sardar Vallabhbhai Patel
Subhas Chandra Bose
Jawaharlal Nehru
Lal Bahadur Shastri
Correct answer
Jawaharlal Nehru
Why this answer is correct
The correct answer is Jawaharlal Nehru.
Important Points
Additional Information
| Sardar Vallabhbhai Patel | - Vallabhbhai Patel, popularly known as Sardar Patel, Bismarck of India, Iron Man Of India, Strong Man. - He was the first Deputy Prime Minister of India. - Indian National Trade Union Congress was founded in 1947 by Vallabhbhai Patel. - Sardar Vallabhbhai Patel’s statue or known as the Statue of Unity is situated in Gujarat, India. It is the world’s tallest statue standing at a height of 182 meters. |
|---|---|
| Subhas Chandra Bose | - Subhas Chandra Bose (Netaji) (23 January 1897 – 18 August 1945) is known for his role in India's independence movement. - He was born on 23rd January 1897, in Cuttack, Orissa Division, Bengal Province, to Prabhavati Dutt Bose and Janakinath Bose. - He earned the title ‘Netaji’, in Germany by the Indian soldiers of the Azad Hind Fauj in 1942. - His very famous slogan is, “Give me blood, and I shall give you freedom!” as well as “Jai Hind”. - He was elected the President of the All India Youth Congress and also the Secretary of Bengal State Congress. - He formed the All India Forward Block. - He is said to have died in 1945 when his plane crashed in Taiwan. However, there are still many conspiracy theories regarding his death. |
| Lal Bahadur Shastri | - Lal Bahadur Shastri was the second prime minister of India (1964-1966). - His famous slogan of ‘Jai Jawan Jai Kisan’ became popular during the 1965 Indo-Pakistan war. - He died the day following the Tashkent Agreement that formally ended the war. |
The process of evolution of different species in a given geographical area starting from a point and literally radiating to other areas of geography (habitats) is called ______.
adjustive radiation
adaptive radiation
adaptive evolution
adjustive evolution
Correct answer
adaptive radiation
Why this answer is correct
The correct answer is adaptive radiation.
Key Points
The first lot of 33 declassified files relating to Netaji Subhas Chandra Bose was handed over by the Prime Minister’s Office (PMO) to the National Archives of India on 4 December ______.
2019
2014
2015
2018
Correct answer
2015
Why this answer is correct
The correct answer is 2015.
Important Points
The discovery and understanding of electromagnetic induction is based on a long series of experiments carried out by ______.
Rutherford
Einstein
Faraday and Henry
Planck and Fermi
Correct answer
Faraday and Henry
Why this answer is correct
The correct answer is Faraday and Henry.
It is also observed that the deflection increases dramatically when an iron rod is inserted into the coils along their axis.
Important Points
Planned economic development in India began in ______ with the inception of the First Five Year Plan
1958
1948
1951
1956
Correct answer
1951
Why this answer is correct
The correct answer is 1951.
Important Points
Key Points
What is the total area of the state of Goa?
1702 km2
2702 km2
3702 km2
4702 km2
Correct answer
3702 km2
Why this answer is correct
The correct answer is 3702 km2.
Key Points
Additional Information
Which of the following poems is NOT written by Sarojini Naidu ?
A Love Song from the North
My Dead Dream
The Banyan Tree
In the Forest
Correct answer
The Banyan Tree
Why this answer is correct
The correct answer is The Banyan Tree.
Additional Information
Fondly called the ‘Haryana Hurricane’, ______ made his test debut in the year 1978.
Sunil Gavaskar
Kapil Dev
Ravi Shastri
Dilip Vengsarkar
Correct answer
Kapil Dev
Why this answer is correct
The correct answer is Kapil Dev.
Important Points
| Sunil Gavaskar | - He is an Indian cricket commentator and former cricketer representing India. - He is also known as "Sunny", "Little Master". - The Board of Control for Cricket in India (BCCI) named Sunil Gavaskar as the recipient of the Col CK Nayudu Lifetime Achievement Award for Cricket in India in 2012 |
|---|---|
| Ravi Shastri | - Ravi Shastri is former Indian cricket coach, commentator, cricketer, and former head coach of the Indian national cricket team. |
| Dilip Vengsarkar | - Dilip Balwant Vengsarkar is a former Indian cricketer and a cricket administrator. - He was also known by the nickname 'Colonel'. - He has been awarded the Arjuna Award as well as the Wisden Cricket of the Year award for his contribution towards Indian cricket. |
Which of the following public sector enterprises falls under the status ‘Maharatna’?
Steel Authority of India Limited
Hindustan Aeronautics Limited
Bharat Sanchar Nigam Limited
Mahanagar Telephone Nigam Limited
Correct answer
Steel Authority of India Limited
Why this answer is correct
The correct answer is Steel Authority of India Limited.
Key Points
Important PointsAs of September 2024, India has 13 Maharatna companies and 25 Navratna companies: List of Maharatna, Navratna and Miniratna.
Who is the first Indian to be awarded the Nobel Prize in Physics?
Har Gobind Khorana
Chandrasekhara Venkata Raman
Subramanyan Chandrasekhar
Venkatraman Ramakrishnan
Correct answer
Chandrasekhara Venkata Raman
Why this answer is correct
The correct answer is Chandrasekhara Venkata Raman.
Important Points
| Har Gobind Khorana | - His work on electron diffraction got him the 1968 Nobel Prize in Physiology or Medicine. - He shared the award with Robert W Holley and Marshall W Nirenberg for their interpretation of the genetic code and its function in protein synthesis. |
|---|---|
| Subramanyan Chandrasekhar | - In 1983, he bagged the Nobel Prize in Physics for theoretical studies of the physical processes of importance to the structure and evolution of the stars. - He shared the award with another physicist William Alfred Fowler. - His theory suggested that the star further collapses into a compact star known as a white dwarf. |
| Venkatraman Ramakrishnan | - He received the 2009 Nobel Prize in Chemistry for studies of the structure and function of the ribosome. - He shared the award with Thomas A Steitz and Ada E Yonath. |
Tax reforms are concerned with the reforms in the government’s taxation and public expenditure policies, which are collectively known as its ______.
fiscal policy
financial policy
fiscal reforms
financial reforms
Correct answer
fiscal policy
Why this answer is correct
The correct answer is fiscal policy.
Important Points
Hallisaka is a group dance native to ______.
Goa
Gujarat
Rajasthan
Maharashtra
Correct answer
Gujarat
Why this answer is correct
The correct answer is Gujarat.
Important Points
| STATE | FOLK DANCES |
|---|---|
| Goa | Samayi nrutya, Jagar, Ranmale, Tarangamel, Koli, Gonph, Tonnya mell. |
| Gujarat | Garba, Dandiya Ras, Tippani Juriun, Bhavai. |
| Maharashtra | Gafa, Lavani, Nakata, Dahikala Dasavtar or Bohada, Koli, Lezim. |
| Assam | Bihu, Naga dance, Khel Gopal, Natpuja, Maharas, Canoe, Jhumura Hobjanai. |
| Madhya Pradesh | Aada, Khada Nach, Selabhadoni, Maanch, Phulpati, Grida. |
| Bihar | Bakho-Bakhain, Sama Chakwa, Bidesia, Jata-Jatin, Panwariya. |
| Rajasthan | Ghumar, Chakri, Ganagor, Ghapal, Kalbeliya. |
With which of the following sports are Ritwik Bhattacharya, Joshna Chinappa and Saurav Ghosal associated ?
Squash
Tennis
Wrestling
Weight lifting
Correct answer
Squash
Why this answer is correct
The correct answer is Squash.
Additional Information
Mohandas Karamchand Gandhi returned to India in the year ______ after two decades of residence abroad.
1869
1905
1893
1915
Correct answer
1915
Why this answer is correct
The correct answer is 1915.
Important Points
Key Points
Birhor dance is a tribal folk dance from ______.
Karnataka
Punjab
Himachal Pradesh
Jharkhand
Correct answer
Jharkhand
Why this answer is correct
The correct answer is Jharkhand.
Important Points
| STATE | DANCES |
|---|---|
| Karnataka | Karga, Lambi, Yakshagan, Huttari. |
| Punjab | Bhangra, Giddha, Bhand, Daff, Dhaman. |
| Himachal Pradesh | Jhali, Chharhi, Nati, Dangi, Jhora. |
| Jharkhand | Mundari Dance, Sarhul, Barao, Karma Munda, Agni, Mardana Jhumar, Paika, Phagua, Jhitka, Danga. |
| Assam | Bihu, Naga dance, Khel Gopal, Natpuja, Maharas, Canoe, Jhumura Hobjanai. |
| Madhya Pradesh | Aada, Khada Nach, Selabhadoni, Maanch, Phulpati, Grida. |
| Bihar | Bakho-Bakhain, Sama Chakwa, Bidesia, Jata-Jatin, Panwariya. |
| Rajasthan | Ghumar, Chakri, Ganagor, Ghapal, Kalbeliya. |
______ states that for a solution of volatile liquids, the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in solution.
Boyle’s law
Dalton’s law
Faraday’s law
Raoult’s law
Correct answer
Raoult’s law
Why this answer is correct
The correct answer is Raoult’s law.
Raoult’s law states that a solvent’s partial vapour pressure in a solution (or mixture) is equal or identical to the vapour pressure of the pure solvent multiplied by its mole fraction in the solution.
Mathematically, Raoult’s law equation is written as;
Psolution = ΧsolventP0solvent
Where,
Psolution = vapour pressure of the solution
Χsolvent = mole fraction of the solvent
P0solvent = vapour pressure of the pure solvent
Important Points
| Boyle’s law | - Boyle’s law, also called Mariotte’s law, a relation concerning the compression and expansion of a gas at a constant temperature. - The pressure exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied by it. - The pressure (P) of a given quantity of gas varies inversely with its volume (V) at constant temperature; i.e., in equation form, PV = k, a constant. |
|---|---|
| Dalton’s law | - The Law of Partial Pressures, states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the gases in the mixture. |
| Faraday’s law | - Faraday's law of induction (Faraday's law) is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF) - a phenomenon known as electromagnetic induction. - Faraday's law states that the EMF is also given by the rate of change of the magnetic flux: where E is the electromotive force (EMF) and ΦB is the magnetic flux. |
Baliyatra, literally meaning ‘voyage to Bali’, is a festival celebrated particularly in ______ with great fanfare
Gurgaon
Vellore
Kochi
Cuttack
Correct answer
Cuttack
Why this answer is correct
The correct answer is Cuttack.
Key Points
The ______ water utilisation is very high in the states of Punjab, Haryana, Rajasthan, and Tamil Nadu.
rain
ground
river
sea
Correct answer
ground
Why this answer is correct
The correct answer is ground.
Important Points
Viswanathan Anand, Pentala Harikrishna and Vidit Gujrathi are associated with the game of ______.
chess
cricket
kabaddi
football
Correct answer
chess
Why this answer is correct
The correct answer is Chess.
Key Points
The British annexed Punjab after defeating the Sikhs in the Anglo-Sikh War in the year ______.
1835
1845
1839
1849
Correct answer
1849
Why this answer is correct
The correct answer is 1849.
Key Points
ONGC ______ is a subsidiary of the Indian public sector enterprise, Oil and Natural Gas Corporation.
Videsh
Vinesh
Vighnesh
Vishesh
Correct answer
Videsh
Why this answer is correct
The correct answer is Videsh.
Additional Information
When a host is exposed to antigens, which may be in the form of living or dead microbes or other proteins, antibodies are produced in the host body. This type of immunity is called ______ immunity.
strong
passive
active
acquired
Correct answer
active
Why this answer is correct
The correct answer is active.
Important Points
Additional Information
The Governor of the state of Maharashtra as on 30 June 2020 was ______.
Anandiben Patel
Bhagat Singh Koshyari
Najma Heptulla
Acharya Dev Vrat
Correct answer
Bhagat Singh Koshyari
Why this answer is correct
The correct answer is Bhagat Singh Koshyari.
Important Points
| State | Governor | CM | Capital |
|---|---|---|---|
| Maharashtra | Bhagat Singh Koshyari | Eknath Shinde | Mumbai |
| Goa | P.S. Sreedharan Pillai | Pramod Sawant | Panaji |
| Madhya Pradesh | Mangubhai Chhaganbhai Patel | Shivraj Singh Chouhan | Bhopal |
| Uttar Pradesh | Anandiben Patel | Yogi Adityanath | Lucknow |
| Manipur | La. Ganesan | N. Biren Singh | Imphal |
| Gujarat | Acharya Dev Vrat | Bhupendra Patel | Gandhinagar |
Languages like Nyishi, Apatani and Bokar are widely spoken in ______.
Mizoram
Nagaland
Assam
Arunachal Pradesh
Correct answer
Arunachal Pradesh
Why this answer is correct
The correct answer is Arunachal Pradesh.
Key Points
Electrical conductance through metals is called electronic conductance and it ______.
decreases with increase in temperature
increases with increase in temperature
decreases with decrease in temperature
does not depend on temperature
Correct answer
decreases with increase in temperature
Why this answer is correct
The correct answer is decreases with increase in temperature.
Key Points
Additional Information
The Chief Minister of the state of Gujarat as on 30 June 2020 was ______.
Vijaybhai Rupani
Pramod Sawant
Naveen Patnaik
Nitish Kumar
Correct answer
Vijaybhai Rupani
Why this answer is correct
The correct answer is Vijaybhai Rupani.
Important Points
| STATE | CAPITAL | GOVERNER | CM |
|---|---|---|---|
| Goa | Panaji | Bhagat Singh Koshyari | Pramod Sawant |
| Odisha | Bhubaneswar | Ganeshi Lal | Naveen Patnaik |
| Bihar | Patna | Phagu Chauhan | Nitish Kumar |
| Himachal Pradesh | Shimla (Summer), Dharamshala (Winter) | Bandaru Dattatreya | Sukhvinder Singh Sukhu |
| Rajasthan | Jaipur | Kalraj Mishra | Bhajan Lal Sharma |
| Uttaranchal (New name Uttarakhand) | Dehradun (winter), Gairsain (summer) | Baby Rani Maurya | |
| Gujrat | Gandhinagar | Acharya Devvrat | Vijay Rupani |
Nuclear membrane is absent in organisms that fall under kingdom ______.
Monera
Plantae
Animalia
Fungi
Correct answer
Monera
Why this answer is correct
The correct answer is Monera.
Important Points
| MONERA (EUBACTERIA & ARCHAEA) | - Prokaryotic, unicellular organisms. - No cell nucleus nor any other membrane-bound organelles within their cells. |
|---|---|
| PROTISTA | - Eukaryotic cells with nucleus, enclosed by a membrane. - It includes slime molds, Euglenoids, protozoans, etc. |
| FUNGI | - Multicellular, with a cell wall, organelles including a nucleus, but no chloroplasts. - They have no mechanisms for locomotion. |
| PLANTAE | - Multicellular form with specialized eukaryotic cells. - Do not have their own means of locomotion. - It includes algae, bryophytes, pteridophytes, gymnosperms and angiosperms. |
| ANIMALIA | - Multicellular form with specialized eukaryotic cells. - They have their own means of locomotion. |
The Chief of the Naval Staff of India as on 30 June 2020 was ______.
Manoj Mukund Naravane
Rakesh Kumar Singh Bhadauria
Bipin Rawat
Karambir Singh
Correct answer
Karambir Singh
Why this answer is correct
The correct answer is Karambir Singh.
Additional Information
Key Points
Navy Day in India is celebrated on 4 December.
The theme of Navy Day 2020 is "Indian Navy Combat Ready, Credible & Cohesive".
The Navy has three Commands, each under the control of a Flag officer Commanding-in-Chief:
The Western Naval Command (Headquarters at Mumbai)
The Eastern Naval Command (Headquarters at Visakhapatnam)
The Southern Naval Command (Headquarters at Kochi)
Fouaad Mirza is an Indian ______ who was awarded the Arjuna award in 2019.
equestrian rider
golfer
wrestler
weightlifter
Correct answer
equestrian rider
Why this answer is correct
The correct answer is equestrian rider.
Additional Information
Teejan Bai was awarded the Padma Vibhushan Award in 2019 for her contribution in the field of ______.
Trade and Industry - Infrastructure
Public Affairs
Art-Vocals-Folk
Art-Acting-Theatre
Correct answer
Art-Vocals-Folk
Why this answer is correct
The correct answer is Art-Vocals-Folk.
Additional Information
| Recipients | Field |
|---|---|
| Teejan Bai | Arts |
| Ismaïl Omar Guelleh | Public Affairs |
| Anil Manibhai Naik | Trade & Industry |
| Balwant Moreshwar Purandare | Art |
| Recipients | Field |
|---|---|
| George Fernandes | Public Affairs |
| Arun Jaitley | Public Affairs |
| Anerood Jugnauth | Public Affairs |
| Sushma Swaraj | Public Affairs |
| Mary Kom | Sports |
| Chhannulal Mishra | Arts |
| Vishwesha Teertha | Others |
______ is land which is left fallow (uncultivated) for more than five years and can be brought under cultivation after improving it through reclamation practices.
Permanent pastures
Current fallow
Forest land
Culturable wasteland
Correct answer
Culturable wasteland
Why this answer is correct
The correct answer is Culturable wasteland.
Additional Information
Of the 552 members of the Lok Sabha, ______ members represent the states.
550
520
540
530
Correct answer
530
Why this answer is correct
The correct answer is 530.
Additional Information
As on 30 June 2020, Harsimrat Kaur Badal was the Indian Cabinet Minister for the Ministry of ______.
Human Resource Development
Food Processing Industries
Health and Family Welfare
Women and Child Development
Correct answer
Food Processing Industries
Why this answer is correct
The correct answer is Food Processing Industries.
Additional Information
| Portfolio | Minister |
|---|---|
| 1. Ministry of Personnel, Public Grievances, and Pensions. 2. Department of Space. 3. Department of Atomic Energy. 4. All important policy issues and all other portfolios not allocated to any Minister. | Shri Narendra Modi |
| Ministry of Home Affairs | Shri Amit Shah |
| Ministry of Defence | Shri Raj Nath Singh |
| 1. Ministry of Finance. 2. Ministry of Corporate Affairs | Smt. Nirmala Sitharaman |
| 1. Ministry of Women and Child Development. 2. Ministry of Textiles. | Smt. Smriti Zubin Irani |
| Ministry of External Affairs | Dr. Subrahmanyam Jaishankar |
| Ministry of Education (formerly the Ministry of Human Resource Development) | Shri Ramesh Pokhriyal |
| Ministry of Tribal Affairs | Shri Arjun Munda |
| 1. Ministry of Health and Family Welfare. 2. Ministry of Science and Technology. 3. Ministry of Earth Sciences | Dr. Harsh Vardhan |
| 1. Ministry of Railways. 2. Ministry of Commerce and Industry. 3. Ministry of Consumer Affairs, Food, and Public Distribution. | Shri Piyush Goyal |
| Ministry of Youth Affairs and Sports | Shri Kiren Rijiju |
The Indian Cabinet Minister – Ministry of Corporate Affairs, as on 30 June 2020 was ______.
Nirmala Sitharaman
Nitin Jairam Gadkari
Ravi Shankar Prasad
Subrahmanyam Jaishankar
Correct answer
Nirmala Sitharaman
Why this answer is correct
The correct answer is Nirmala Sitharaman.
Key Points
| Portfolio | Minister |
|---|---|
| 1. Ministry of Personnel, Public Grievances, and Pensions. 2. Department of Space. 3. Department of Atomic Energy. 4. All important policy issues and all other portfolios not allocated to any Minister. | Shri Narendra Modi |
| Ministry of Home Affairs | Shri Amit Shah |
| Ministry of Defence | Shri Raj Nath Singh |
| 1. Ministry of Finance. 2. Ministry of Corporate Affairs | Smt. Nirmala Sitharaman |
| 1. Minister of Micro, Small and Medium Enterprises. 2. Minister for Road Transport & Highways. | Shri Nitin Jairam Gadkari |
| Minister of Law and Justice | Shri Ravi Shankar Prasad |
| 1. Ministry of Women and Child Development. 2. Ministry of Textiles. | Smt. Smriti Zubin Irani |
| Ministry of External Affairs | Dr. Subrahmanyam Jaishankar |
| Ministry of Education (formerly the Ministry of Human Resource Development) | Shri Ramesh Pokhriyal |
| Ministry of Tribal Affairs | Shri Arjun Munda |
| 1. Ministry of Health and Family Welfare. 2. Ministry of Science and Technology. 3. Ministry of Earth Sciences | Dr. Harsh Vardhan |
| 1. Ministry of Railways. 2. Ministry of Commerce and Industry. 3. Ministry of Consumer Affairs, Food, and Public Distribution. | Shri Piyush Goyal |
| Ministry of Youth Affairs and Sports | Shri Kiren Rijiju |
People like small farmers and seasonal workers who regularly move in and out of poverty are categorised as _______.
occasionally poor
churning poor
always poor
usually poor
Correct answer
churning poor
Why this answer is correct
The correct answer is churning poor.
Important Points
Additional Information
Sakewa is a religious festival celebrated by the Kirat Khambu Rai community of ______.
Arunachal Pradesh
Sikkim
Nagaland
Meghalaya
Correct answer
Sikkim
Why this answer is correct
The correct answer is Sikkim.
Important Points
| STATE | FESTIVALS |
|---|---|
| Arunachal Pradesh | Solang, Mopin, Monpa, Pongtu |
| Nagaland | Hornbill, Moatsu |
| Meghalaya | Nongkrem, Khasis |
| Jharkhand | Karam Utsav, Holi |
| Jammu and Kashmir | Bahu Mela, Chhari, Har Navami |
| Odisha | Rath Yatra, Raja Parba |
| Chhattisgarh | Maghi Purnima, Bastar |
Solids can be classified as ______ on the basis of the nature of order present in the arrangement of their constituent particles.
crystalline or amorphous
metallic or non-metallic
magnetic or non-magnetic
conductor or non-conductor
Correct answer
crystalline or amorphous
Why this answer is correct
The correct answer is crystalline or amorphous.
Important Points
| Property | Crystalline Solid | Amorphous Solid |
|---|---|---|
| Shape | The definite characteristic geometrical shape. | Irregular shape. |
| Melting point | Melt at a sharp and characteristic temperature. | Gradually soften over a range of temperatures. |
| Anisotropy | Anisotropic in nature. | Isotropic in nature. |
| Nature | True solids. | Pseudo solids or supercooled liquids. |
The longest continuous wall in India, the second longest in the world, is at ______ Fort.
Kumbhalgarh
Chittorgarh
Kangra
Mehrangarh
Correct answer
Kumbhalgarh
Why this answer is correct
The correct answer is Kumbhalgarh.
Key Points
Important Points
| Chittorgarh Fort | - The Chittor Fort or Chittorgarh is the largest in India. - It is a UNESCO World Heritage Site in 2013. - The fort was the capital of Mewar and is located in the present-day town of Chittor in Rajasthan. - The Chittor Fort was named after Chittrangad Maurya. - There are Seven Gates of the Fort: Padan Pol, Bhairon Pol, Hanuman Pol, Jorla Pol, Ganesh Pol, Laxman Pol, Ram Pol. |
|---|---|
| Kangra Fort | - The Kangra Fort is located in Himachal Pradesh. - It was built by the royal Rajput family of Kangra State (the Katoch dynasty), which traces its origins to the ancient Trigarta Kingdom, mentioned in the Mahabharata epic. - It’s the largest fort in the Himalayas. - The Kangra Fort lies on a patch of land between the Manjhi and Banganga rivers. |
| Mehrangarh Fort | - It is located in Jodhpur, Rajasthan. - It was built around 1459 by Rao Jodha. - The fort is spread over an area of 5 km and is built on a 125 m high hill in the outskirts of Jodhpur city. |
Lord Hastings initiated the ______ where the East India Company claimed that its authority was supreme and hence its power was greater than that of Indian states
Government's Stores Policy
Doctrine of Lapse
Imperial Policy
Policy of ‘Paramountcy’
Correct answer
Policy of ‘Paramountcy’
Why this answer is correct
The correct answer is Policy of ‘Paramountcy’.
Important Points
Thus the correct answer is Policy of ‘Paramountcy’.
Jayprakash Narayan was given the title of ‘______’.
Deenbandhu
Loknayak
Jana Nayak
Deshbandhu
Correct answer
Loknayak
Why this answer is correct
The correct answer is Loknayak.
Additional Information
In which of the following states are the Sundargarh deposits of Manganese located ?
Maharashtra
Odisha
Kerala
Gujarat
Correct answer
Odisha
Why this answer is correct
The correct answer is Odisha.
Important Points
Additional Information
Detritivores in the soil break down detritus into smaller particles. This process is called ______.
mineralisation
catabolism
fragmentation
leaching
Correct answer
fragmentation
Why this answer is correct
The correct answer is fragmentation.
Important Points
Called the farmer’s ‘friend’, the ______ helps in the breakdown of complex organic matter as well as in loosening of the soil.
earthworm
locust
weed
rat
Correct answer
earthworm
Why this answer is correct
The correct answer is earthworm.
Important Points
Sagol Kangjei, an indigenous game of Manipur is similar to the modern day sports of:
cricket
polo
hockey
boxing
Correct answer
polo
Why this answer is correct
The correct answer is polo.
Important Points
Additional Information
Key Points
‘The Substance and the Shadow’ is the autobiography of ______.
Dilip Kumar
Dev Anand
Shammi Kapoor
Guru Dutt
Correct answer
Dilip Kumar
Why this answer is correct
The correct answer is Dilip Kumar.
Important Points
| Dev Anand | - The Bollywood superstar was born as Devdutta Pishorimal Anand and was called Dharam Dev Anand. - "Romancing with Life" is the autobiography of Dev Anand. - His nickname was Chiru. - His hit films in his initial years include Vidya, Jeet, Shair, Afsar, Nili, Do Sitare, Sanam, Guide, Jewel Thief, Nau Do Gyarah, Awaara. |
|---|---|
| Shammi Kapoor | - He is also known as the Elvis Presley of India. - Some films of him are Andaz, Zameer, Hero, Vidhaata, Hukumat, Batwara, Tahalka, Chamatkar, Namak and Prem Granth. |
| Guru Dutt | - Vasanth Kumar Shivashankar Padukone, better known as Guru Dutt, was an Indian film director, producer, and actor. - His films are Pyaasa, Kaagaz Ke Phool, Sahib Bibi Aur Ghulam, and Chaudhvin Ka Chand. |
The charge has to be passed ______ to obtain maximum work from a galvanic cell.
uniformly
inversely
proportionately
reversibly
Correct answer
reversibly
Why this answer is correct
The correct answer is reversibly.
Important Points
What is the length of the Indian border with Afghanistan?
601 km
106 km
755 km
575 km
Correct answer
106 km
Why this answer is correct
The correct answer is 106 km.
Important Points
Land borders of India:
| Country | Length (Km) | Force |
|---|---|---|
| Bangladesh | 4096 (2,545 miles) | Border Security Force |
| China (McMahon Line) | 3488 (2,167 miles) | Indo-Tibetan Border Police |
| Pakistan (Radcliffe Line) | 3310 (2,060 miles) | Border Security Force |
| Nepal | 1752 (1,089 miles) | Sashastra Seema Bal |
| Myanmar | 1458 (906 miles) | Assam Rifles and Indian Army |
| Bhutan | 699 km | Sashastra Seema Bal |
| Afghanistan | 106 (66 miles) | Border Security Force |
Name the high-frequency radiation produced in nuclear reactions and also emitted by radioactive nuclei that are used in medicine to destroy cancer cells.
Gamma rays
Ultraviolet waves
Light waves
X-rays
Correct answer
Gamma rays
Why this answer is correct
The correct answer is Gamma rays.
Important Points
Additional Information
A set of equations involving electric and magnetic fields, and their sources, the charge and current densities are known as ______ equations.
Newton’s
Bhor’s
Einstein’s
Maxwell’s
Correct answer
Maxwell’s
Why this answer is correct
The correct answer is Maxwell’s.
∫E⋅dA = q/ε0, It represents completely covering the surface with a large number of tiny patches having areas dA.,ε0 = Vacuum permittivity.
Important Points
| Newton’s Equations | - 1st law: An object at rest stays at rest and an object in motion stays in motion with the same speed and the same direction unless acted upon by an unbalanced force. - Newton’s first law of motion, which is sometimes called the law of inertia, explains that an object at rest stays at rest, and an object in motion remains in motion with the same velocity unless acted upon by an external force. - 2nd law: the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. - The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. - Newton's 2nd law of motion says the rate change of momentum is called force. - 3rd law: For every action, there is an equal and opposite reaction. - Newton's law of universal gravitation: The attractive force between two objects (F) is equal to G times the product of their masses (m1, m2) divided by the square of the distance between them (r). F = G(m1m2/r2) |
|---|---|
| Bohr's equation | - The great Danish physicist Niels Bohr made immediate use of Rutherford’s planetary model of the atom. - Bohr’s theory explained the atomic spectrum of hydrogen and established new and broadly applicable principles in quantum mechanics. - The observed hydrogen-spectrum wavelengths can be calculated using the following formula: 1/λ=R(1/nf2−1/ni2), where λ is the wavelength of the emitted EM radiation and R is the Rydberg constant, determined by the experiment to be R = 1.097 × 107 / m (or m−1). The constant nf is a positive integer associated with a specific series. |
| Einstein’s equation | - Einstein's theory of special relativity shows that matter (as mass) and energy can be converted into each other according to the famous equation E = mc2, where E is energy, m is mass, and c is the speed of light. |
A train travelling at the speed of x km/h crossed a 300 m long platform in 30 seconds, and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x?
102
48
60
96
Correct answer
96
Why this answer is correct
Given:
Length of the platform is 300m = 0.3 km
Speed of the train is x km/hr
Speed of a man is 6 km/hr
Formula Used:
Time taken = Total distance/Total time
Calculation:
Let the length of train be y
Time taken by train to cross a 300m long platform = (y + 0.3)/x
⇒ (y + 0.3)/x = 30/3600
⇒ (y + 0.3)/x = 1/120
⇒ y + 0.3 = x/120
⇒ y = x/120 - 0.3
Time taken by train to cross a man walking in same direction = y/(x - 6)
⇒ y/(x - 6) = 20/3600
On putting the value of y in the equation
⇒ (x/120 - 0.3)/(x - 6) = 1/180
⇒ x/120 - 0.3 = (x- 6)/180
⇒ x/120 - 0.3 = x/180 - 1/30
⇒ x/120 - x/180 = 0.3 - 1/30
⇒ x/360 = 8/30
⇒ x= 96
∴ The value of x is 96 km/hr
Shortcut Trick
Length of the platform is 300m = 0.3 km
Speed of a man is 6 km/hr
Let the length of train be y m
Speed of the train is x km/hr
According to the question,
x × 5/18 = (y + 300)/30
x × 5/18 = (y/30 + 10) ----(1)
and
(x - 6) × 5/18 = y/20 ----(2)
on solving both we get
⇒ x= 96
∴ The value of x is 96 km/hr
The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, B6, during two consecutive years 2018 and 2019. The 1st bar corresponds to the year 2018 and the 2nd bar corresponds to the year 2019.
In the bar graph, the ratio of the total sales from branches B1, B2 and B3 taken together for the year 2018 to the sales from the branches B6, B4 and B5 for the year 2019, is:
25 : 27
25 : 29
27 : 25
29 : 25
Correct answer
25 : 27
Why this answer is correct
Total sales of (B1 + B2 + B3) in 2018 = 250
Total sales of (B6 + B4 + B5) in 2019 = 270
⇒ 250 : 270
⇒ 25 : 27
∴ Ratio is 25 : 27
When a number is successively divided by 3, 4 and 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?
30
71
53
48
Correct answer
71
Why this answer is correct
Given:
Remainders corresponding to the divisor
Formula used:
(Divisor × Quotient) + Remainder = Dividend
Calculation:
Start from last digits
The number gives a remainder of 5 when it is divided by 7
⇒ (7x + 5)
The number gives remainder 3 when it is divided 4
⇒ [4 × (7x + 5) + 3]
Also, the number when divided by 3 gives remainder 2
⇒ [3 × {4 × (7x + 5) + 3} + 2]
⇒ [3 × (28x + 20 + 3) + 2]
⇒ 84x + 71
The number is 71 more than a multiple of 84
Hence, if the number is divided by 84
∴ The remainder will be 71
Let x be the number
⇒ z = 7 × 1 + 5 = 12
⇒ y = 4 × z + 3 = 51
⇒ x = 3 × y + 2 = 155
On dividing 155 by 84
∴ Remainder = 71
Important Points
If the quotient of the dividend is taken and this is used as the dividend in the next division, such as division is called Successive division. A successive division process can continue up to any number of steps until the quotient in a division became zero for the first time, i.e., the quotient in the first division is taken and divided in the second division; the quotient in the second division is taken as the dividend in the third division; the quotient in the third division is taken as the dividend in the fourth division and so on.
We will have to follow the rule of Successive Division (Not Normal Division). Hence, LCM Method is not followed there.
If a3 + b3 = 217 and a + b = 7, then the value of ab is:
-1
6
-6
7
Correct answer
6
Why this answer is correct
Given:
a3 + b3 = 217
(a + b) = 7
Formula Used:
(a + b)3 = a3 + b3 + 3ab (a + b)
Calculation:
Substituting the values in the formula
(7)3 = 217 + 3ab (7)
343 – 217 = 21ab
126/21 = ab
∴The value of ab is = 6
Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?
20 : 64 : 49
64 : 49 : 20
20 : 49 : 64
49 : 64 : 20
Correct answer
64 : 49 : 20
Why this answer is correct
Given:
Profit ratio of three partners = 8 : 7 : 5
Period of investment of 1st partner = 7 months
Period of investment of 2nd partner = 8 months
Period of investment of 3rd partner = 14 months
Concept used:
Person’s Profit = Investment × time period
Calculation:
Let the investment and time period be 7x : 8y : 14z
7x/8y = 8/7
⇒ 49x = 64y
⇒ y = 49x/64
7x/14z = 8/5
⇒ 35x = 112z
⇒ z = 35x/112
⇒ z = 5x/16
x : y : z = x : 49x/64 : 5x/16
⇒ Multiply by 64
x : y : z = 64 : 49 : 20
∴ The investment ratio is 64 : 49 : 20
Shortcut Trick We know that,
⇒ Profit = Invested Capital × Invested Time
Let the invested capital of all 3 be a, b, and c respectively,
⇒
Now we get,
⇒ a × 7 = 8
⇒ a = 8/7
similarly, we get, b = 7/8 & c = 5/14
Now we have a = 8/7, b = 7/8, and c = 5/14
Multiplying by 56, we get,
⇒ 8/7(56), 7/8(56), and 5/14(56)
⇒ 64, 49, and 20
∴ The investment ratio is 64 : 49 : 20.
The value of \(\frac{2}{3} \div \frac{3}{{10}}of\frac{4}{9} - \frac{4}{5} \times 1\frac{1}{9} \div \frac{8}{{15}} - \frac{3}{4} + \frac{3}{4} \div \frac{1}{2}\) is:
\(\frac{17}{{9}}\)
\(\frac{25}{{6}}\)
\(\frac{14}{{3}}\)
\(\frac{49}{{12}}\)
Correct answer
\(\frac{49}{{12}}\)
Why this answer is correct
We have to follow the BODMAS rule.
Calculation:
= \([\frac{2}{3}; \div ;\frac{3}{{10}};of;\frac{4}{9}; - ;\frac{4}{5}; \times ;1\frac{1}{9}; \div ;\frac{8}{{15}};; - ;\frac{3}{4}; + \frac{3}{4}; \div \frac{1}{2}]\)
⇒\([\frac{2}{3}; \div ;\frac{3}{{10}}; \times ;\frac{4}{9}; - ;\frac{4}{5}; \times ;\frac{{10}}{9}; \times ;\frac{{15}}{8};; - ;\frac{3}{4}; + \frac{3}{4}; \times 2]\)
⇒\([\frac{2}{3}; \div ;\frac{2}{{15}} - ;\frac{5}{3};; - ;\frac{3}{4}; + \frac{3}{2};]\)
⇒\([\frac{2}{3}; \times ;\frac{{15}}{2} - ;\frac{5}{3};; + ;\frac{3}{4};;]\)
⇒\([5; - ;\frac{{11}}{{12}};]\) = \([\frac{{49}}{{12}}]\)
∴The value of \(\frac{2}{3} \div \frac{3}{{10}}of\frac{4}{9} - \frac{4}{5} \times 1\frac{1}{9} \div \frac{8}{{15}} - \frac{3}{4} + \frac{3}{4} \div \frac{1}{2}\) is \([\frac{{49}}{{12}}]\)
The base of a triangle is equal to the perimeter of a square whose diagonal is \(6\sqrt 2\) cm, and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle (in cm2) is:
144
216
288
72
Correct answer
144
Why this answer is correct
Given:
Base of triangle is equal to the perimeter of square whose diagonal if 6√2
Formula used:
diagonal of square = a√2
Area of triangle = 1/2 base × height
Perimeter of square = 4 × side
Calculation:
a√2 = 6√2
a = 6 side of square
4 × 6 = 24
24 = base of triangle according to question
now height is equal to side of square whose area is 144cm2
b2 = 144
b = 12
⇒ height of the triangle is equal to side of square
⇒ Area of triangle =1/2× 12× 24
So, Area of triangle = 144 cm2
Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.
The number of students who obtained less than 350 marks is what per cent more than the number of students who obtained 400 or more marks?
(correct to one decimal place)
350%
375.8%
385.7%
100%
Correct answer
385.7%
Why this answer is correct
Calculation:
Number of student obtained less than 350 = (30 + 45 + 60 + 35) = 170
Number of student obtained 400 or more = 35
Difference between number of students obtained less than 350 and number of students obtained 400 or more = (170 - 35) = 135
Percentage = 135/35 × 100 = 385.714% ≈ 385.7%
∴ The required percentage is 385.7%
A can complete some work in 35 days and B can complete the same work in 15 days. They worked together for 8 days, then B left the work. In how many days will A alone complete 60% of the remaining work?
5
8
10
15
Correct answer
5
Why this answer is correct
Given :
A can complete a work in = 35 days
B can complete a work in = 15 days
Formula used: Work = Efficiency× Time
Calculation :
Let :
Total work = LCM of 35,15 = 105
Efficiency of A = 105/35 = 3 unit
Efficiency of B = 105/15 = 7 unit
According to Question they work together for 8 days, B left then A will complete the work
⇒ (A+B)8 +AX = 105
⇒ 10 × 8 + 3X= 105×
⇒ 80 +3X = 105
⇒ 3X = 25× 3/5 ( In Question it is mentioned that A alone complete 60% of remaining work )
⇒ X = 5 days
So, A alone complete 60% of the remaining work in 5 days.
Alternate Method
| Time | Total work | Efficiency | |
|---|---|---|---|
| A | 35 | 105 | 3 |
| B | 15 | 7 |
Efficiency of work of A and B in one days = 3 + 7
⇒ 10
Total work done by A and B both in 8 days = 10 × 8
⇒ 80
According to Question they work together for 8 days and B left then remaining work = 105 - 80 = 25
60% of remaining work = 25 × 60% = 15
A alone complete 60% of remaining work = 15/3 = 5
So, A alone complete 60% of the remaining work in 5 days.
In ΔABC, D is the median from A to BC. AB = 6 cm, AC = 8 cm, and BC = 10 cm. The length of median AD (in cm) is:
3
4.5
5
4
Correct answer
5
Why this answer is correct
Given:
AB = 6cm
BC = 10cm
AC = 8cm
AD is the median bisects BC
Concept Used:
Pythagoras theorem
AB2 + AC2 = BC2
Circumcentre theorem
Circumcentre of a right-angled triangle lies on the mid-point of the hypotenuse
AD = BD = DC
Calculation:
AB2 + AC2 = BC2
62 + 82 = 102
Since it obeys the Pythagoras theorem
It is a right-angled triangle
Circumcentre of a right-angled triangle lies on the mid-point of the hypotenuse
AD = BD = DC
AD is a median which bisects BC into two equal parts
BD = DC = 5cm
AD = BD = DC = 5cm.
∴ The length of the median AD is 5 cm
Let A and B be two towers with same base. From the midpoint of the line joining their feet, the angles of elevation of the tops of A and B are 30° and 60°, respectively. The ratio of the heights of B and A is:
3 : 1
\(1: \sqrt 3\)
1 : 2
1 : 3
Correct answer
3 : 1
Why this answer is correct
Given:
There are two tower A and B
The angles of elevation of the tops of A and B are 30° and 60°, respectively
⇒ angle AOC = 30° , angle BOD = 60°
OC = OD
Formula Used:
\(tan\theta = \frac{p}{b}\)
Calculation:
Let AC = h
Then, BD = H
In triangle AOC,
\(tan30^\circ = \frac{h}{OC}\)
⇒ \(\frac{1}{{\sqrt 3 }} = \frac{h}{{OC}}\) ........... (I)
In triangle BOD,
\(tan60^\circ = \frac{H}{OD}\)
⇒ \(\frac{{\sqrt 3 }}{1} = \frac{H}{{OD}}\) .......... (II)
By Dividing eq (I) and eq (II)
⇒ \(\frac{1}{3} = \frac{h}{H}\)
Then the ratio of height of tower B to tower A = 3 : 1
The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, B6, during two consecutive years 2018 and 2019. Blue colour corresponds to the year 2018 and white shaded line colour corresponds to the year 2019.
The average sales of cars (from all branches) for the year 2018 is:
85
80
90
78
Correct answer
80
Why this answer is correct
Given:
| Company name | 2018 | 2019 |
|---|---|---|
| B1 | 80 | 105 |
| B2 | 75 | 65 |
| B3 | 95 | 110 |
| B4 | 85 | 95 |
| B5 | 75 | 95 |
| B6 | 70 | 80 |
| Total | 480 | 550 |
Formula used:
Average = (sum of all observation)/(total number of observation)
Calculation:
Total number of car sold in 2018 = 480
Total number of dealer = 6
Average = (sum of all observation)/(total number of observation)
⇒ Average = 480/6 ⇒ 80
∴ The average sales of cars in 2018 is 80
The following pie chart shows percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question.
The total amount of expenditure for education and Health (in billions Rs.) is:
84
168
126
186
Correct answer
168
Why this answer is correct
Given:
Expenditure = 1680 billions
And this is 100%.
Calculation:
The total amount of expenditure for education and Health = 6% + 4%
⇒ 10%
But 100% expenditure = 1680 billions
⇒ 1% expenditure = (1680/100) billions
⇒ 10% expenditure = 16.80 × 10 billions
⇒ 10% expenditure = 168 billions
∴ The total amount of expenditure for education and Health is 168 billions.
The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. Compounded annually, what would be the compound interest (in Rs.) on the same sum for the same period at the same rate of interest?
8,100
8,505
8,715
9,000
Correct answer
8,505
Why this answer is correct
Shortcut Trick
Effective Simple Interest (SI) rate for 2 years = 10% × 2 = 20%
Effective Compound Interest (CI) rate for 2 years = 10% + 10% + (10 × 10) ÷ 100 = 21%
If 20% → Rs. 8,100, then 1% → 8,100 ÷ 20 = 405
⇒ CI (21%) = 405 × 21 = 8,505
∴ The correct answer is Rs. 8,505.
Alternate Method
Given:
Simple Interest (SI) = Rs. 8,100
Rate (R) = 10%
Time (T) = 2 years
Formula Used:
SI = (P × R × T) ÷ 100
CI = P × [(1 + R/100)T − 1]
10% 10% 10%
P = 40,500
Yr 1: 4,050
Yr 2: 4,050
CI on Yr 1: 405
Total CI = 4050 + 4050 + 405 = Rs. 8,505
Calculations:
⇒ P = (SI × 100) ÷ (R × T)
⇒ P = (8100 × 100) ÷ (10 × 2)
⇒ P = 810000 ÷ 20 = 40,500
Now, finding the Compound Interest on the Principal calculated:
⇒ CI = 40500 × [(1 + 10/100)2 − 1]
⇒ CI = 40500 × [(11/10)2 − 1]
⇒ CI = 40500 × [121/100 − 1]
⇒ CI = 40500 × (21/100)
⇒ CI = 405 × 21 = 8,505
∴ The correct answer is Rs. 8,505.
Additional Information
Direct Relation between CI and SI for 2 years
When rate (R) and time (T = 2 years) are the same, CI can be directly found using: CI = SI × (1 + R/200).
Difference between CI and SI for 2 years
The difference between compound and simple interest on a sum P for 2 years is: Difference = P × (R/100)2.
Effective Rate of Compound Interest
The total effective CI rate for 2 years can be calculated using the successive percentage formula: X + Y + (X × Y)/100.
A sum of Rs. 27,000 is divided into two parts A and B such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received together from A and B is:
18,000
9,600
5,400
10,800
Correct answer
10,800
Why this answer is correct
Given:
A sum divided into A and B = Rs 27,000
Rate of simple interest = 15%
A invests for 2 years and B invests for 4 years
Formula Used:
SI = P × R × T/100
Calculation:
Let the sum of A be x
Then, the sum of B be (27,000 - x)
SI of A for 2 years = x × 2 × 15/100
⇒ 30x/100
SI of B for 4 years = (27,000 - x) × 4 × 15/100
⇒ (27,000 - x) × 60/100
⇒ 27000 × 60/100 - 60x/100
⇒ 16200 - 60x/100
According to the question:
SI of A = SI of B
⇒ 30x/100 = 16200 - 60x/100
⇒ 90x/100 = 16200
⇒ x = 18000
Sum of A = Rs 18,000
Sum of B = Rs (27,000 - 18,000) = Rs 9,000
SI of A = 30x/100 = 30 × 18000/100 = Rs 5400
SI of A = SI of B = Rs 5400
Total interest of A and B = 5400 + 5400 = Rs 10800
∴ Total interest of A and B is Rs 10800.
The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm2) of the triangle?
96
60
120
90
Correct answer
120
Why this answer is correct
Given:
Perimeter of a right triangle = 60 cm
And hypotenuse = 26 cm
Formula used:
Area of right angle triangle = (1/2) × base × height
In right angle triangle, hypotenuse length2 = base length2 + perpendicular length2
Concept used:
Triplet of 10 is 10, 24, 26
Calculation:
We can see (10)2 + (24)2 = 100 + 576
⇒ 676 = (26)2 = hypotenuse2
And perimeter = 10 + 24 +26
⇒ 60 = given perimeter
So our assumed triplet is correct.
Hence apart from hypotenuse, remains should be either base length or perpendicular length.
Therefore, base length= 10cm or 24cm
And perpendicular length = 24cm or 10cm
Now area of triangle = (1/2) × 10 × 24
⇒ 120 cm2
∴ The area of a right angle triangle is 120 cm2.
If 49% of X = Y, then Y% of 50 is:
24.5% of Y
24.5% of X
40% of Y
50% of X
Correct answer
24.5% of X
Why this answer is correct
Given:
49% of X = Y
Calculation:
49% of X = Y
⇒ Y = (49/100) × X
Now,
Y% of 50
After putting the value of Y in above
⇒ (49/100) × X × (1/100) × 50
⇒ (2450/10000) × X
⇒ 0.245 × X
For percentage, we have to multiply the above number with 100
⇒ 0.245 × X × 100
⇒ 24.5% × X
∴ Y% of 50 is 24.5% of X
A number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%. What is the net increase/decrease per cent in the number?
7.2% decrease
6.4% increase
3.4% decrease
3.4% increase
Correct answer
3.4% decrease
Why this answer is correct
Given:
Number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%.
Calculation:
Let the number be x
⇒ \({\rm{x;}} \times \frac{{7}}{{5{\rm{;}}}} \times \frac{{3}}{{4{\rm{;}}}} \times \frac{{23}}{{20{\rm{;}}}} \times \frac{{4}}{{5}}\)
⇒ \({\rm{x;}} \times \frac{{483}}{{500{\rm{;}}}}\)
⇒ 0.966x
⇒ 0.966x is less than x
⇒ Decrease per cent in the number = \(\frac{{{\rm{x}} - 0.996{\rm{x}}}}{{100}} = 3.4{\rm{% ;}}\)
∴ Net decrease per cent in the number is 3.4%
The following pie chart shows the percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question.
The amount of expenditure on Defence is what percentage more than the expenditure on Education?
150%
125%
50%
100%
Correct answer
100%
Why this answer is correct
Given:
Total Expenditure = 1680 (in billions)
Expenditure % on Defence = 12%
Expenditure % on Education = 6%
Expenditure % on Employee = 7%
Expenditure % on Subsidy = 21%
Expenditure % on Health = 4%
Expenditure % on Interest payment = 15%
Expenditure % on proceeds to states = 34%
Expenditure % on Misc = 1%
Formula Used:
Amount of expenditure % on defence more than = \([\frac{{Defence;% ; - ;Education;% }}{{Education;% }}]\) × 100
Calculation:
Substituting the value in formula
= \([\frac{{12; - ;6}}{6}]\) × 100 ⇒ 100%
∴Amount of expenditure on defence is 100 % more than Education
If the selling price of 50 articles is equal to the cost price of 42 articles, the what is the approximate loss or profit percentage?
16% loss
20% profit
10% loss
8% profit
Correct answer
16% loss
Why this answer is correct
Given:
Article purchased = 42
Article sold = 50
Formula used:
Profit% or Loss% = [(the difference between S.P and CP.)/C.P]/100
If S.P is more than C.P then it is profit
If C.P is more than S.P then it is Loss
Calculation:
Let the C.P of one article be x
and the S.P of one article be y
C.P for the 42 articles will be = 42x
S.P for the 50 articles will be = 50y
Now according to the question
⇒ C.P = S.P
⇒ 42x = 50y
⇒ x : y =50 : 42 ⇒ 25 : 21
Here C.P is 25 and S.P is 21. so, C.P is greater than S.P which means loss
Loss = C.P - S.P = 25 - 21 = 4
Loss% = (4/25) × 100 = 4 × 4 = 16%
∴ The loss% is 16%
We can deal in articles also
Formula Used:
Profit% or Loss% = (d/sold article) × 100
where d = difference between the no. article sold and bought
Loss = no. of articles sold is more than bought
Profit = no. of articles brought is more than sold
Calculation:
d = 50 - 42 =8
Loss% = (8/50)× 100 = 16%
∴ The loss% is 16%.
If a2 + b2 + c2 + 84 = 4(a - 2b + 4c), then \(\sqrt {ab - bc + ca} \) is equal to:
\(4\sqrt {10} \)
\(5\sqrt {10} \)
\(2\sqrt {10} \)
\(\sqrt {10} \)
Correct answer
\(2\sqrt {10} \)
Why this answer is correct
Shortcut Trick
For an equation in the form a2 + b2 + c2 + Constant = 2(ka + lb + mc), the values are directly given by a = k, b = l, c = m.
Rewrite the given equation: a2 + b2 + c2 + 84 = 2(2a − 4b + 8c).
Comparing terms: a = 2, b = −4, and c = 8.
Substitute in the expression: √(ab − bc + ca) = √((2 × −4) − (−4 × 8) + (8 × 2)) = √(−8 + 32 + 16) = √40.
∴ The correct answer is 2√10.
Alternate Method
Given: a2 + b2 + c2 + 84 = 4(a − 2b + 4c)
Formula used: (x ± y)2 = x2 ± 2xy + y2
⇒ a2 + b2 + c2 + 84 = 4a − 8b + 16c
⇒ (a2 − 4a + 4) + (b2 + 8b + 16) + (c2 − 16c + 64) = 0
⇒ (a − 2)2 + (b + 4)2 + (c − 8)2 = 0
Since the sum of squares is zero, each individual term must be zero:
⇒ a − 2 = 0 ⇒ a = 2
⇒ b + 4 = 0 ⇒ b = −4
⇒ c − 8 = 0 ⇒ c = 8
Required value = √(ab − bc + ca)
⇒ √((2 × −4) − (−4 × 8) + (8 × 2))
⇒ √(−8 + 32 + 16) = √40
⇒ 2√10
∴ The correct answer is 2√10.
Additional Information
Sum of Squares Property
If the sum of squares of real numbers is zero (x2 + y2 + z2 = 0), then each individual term must be zero (x = 0, y = 0, z = 0).
Completing the Square
To convert x2 + kx into a perfect square, add and subtract (k/2)2 to get (x + k/2)2.
Square Root Simplification
To simplify √n, factor out the largest perfect square: √40 = √(4 × 10) = 2√10.
Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.
If the total number of students is represented as a pie chart, then the central angle corresponding to students whose marks are more than 250 but less than 300 is?
(correct to the nearest degree)
88°
68°
128°
188°
Correct answer
88°
Why this answer is correct
Calculation:
Total number of students = 30 + 45 + 60 + 35 + 40 +35
⇒ Total number of students = 245
And students whose marks are more than 250 but less than 300 = 60
But 245 students represents 360°
⇒ 1 student = 360° /245
⇒ 60 students = (360° /245) × 60
⇒ 60 students = 88.16°
∴ The nearest value for students corresponding to 250 or more but lesser than 300 is 88° .
A pump can fill a tank with water in 3 hours. Because of a leak, it took \(3\frac{1}{3}\) hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?
21
10
30
15
Correct answer
30
Why this answer is correct
Given:
Pump can fill the tank in 3 hours.
It took \(3\frac{1}{3}\) hours for the leakage.
Concept used:
Total time = [Total units/Total efficiency of pipe and leakage]
Calculation:
Let the leakage can empty the tank in y hours
Then, leakage will empty 1/y units in 1 hour
⇒ Pipe can fill 1/3 units in 1 hour
Because of the leak, it took \(3\frac{1}{3} = \frac{{10}}{3}\) hours to fill the tank.
⇒ The tank filled in 1 hour when the leak is there = 3/10 units
⇒ \(\frac{1}{3} - \frac{1}{y} = \frac{3}{{10}}\)
⇒ \(\frac{1}{y} = ;\frac{{10 - ;9}}{{30}}\)
⇒ y = 30
∴ The tank will be empty in 30 hours
Alternate Method
L.C.M of 3 and \(3\frac{1}{3}\) = 30
Efficiency of the pipe = 10
Efficiency of (pipe + leakage) = 9
Efficiency of leakage = (10 - 9) = 1
Time takes to empty the tank is 30/1 = 30 hours
∴ Required time to empty the tank is 30 hours
A 64 cm wide path is made around a circular garden having a diameter of 10 metres. The area (in m2) of the path is closest to: (Take \(\pi = \frac{{22}}{7}\))
21
15
9
10
Correct answer
21
Why this answer is correct
Given:
Length of circular path = 64cm
Diameter of Circular garden = 10m = 1000 cm
Radius of Circular garden = 10/2 m = 500 cm
Quantity I:
Inner radius = 500 cm
Outer radius = 564 cm
Area of path = Outer area - Inner area
⇒ 22/7 × (5642 - 5002)
⇒ 22/7 × (564 + 500)(564 - 500)
⇒ 22/7 × (1064)(64)
⇒ 21.4016 m2
⇒ 21 m2(approx.)
If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x, then the value of x lies between:
11 to 15
0 to 5
16 to 20
6 to 10
Correct answer
6 to 10
Why this answer is correct
Concept:
Follow the BODMAS rule according to the table given below:
Calculation:
The given expression is
25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x
⇒ (25/100) × 400 + (35/100) × 1260 + (27/100) × 1800= 1020 + x
⇒ 100 + 441 + 486 = 1020 + x
⇒ 1027 = 1020 + x
∴ x = 7
The internal measures of a cuboidal room are with length as 12 m, breadth as 8 m and height as 10 m. The total cost (in Rs.) of whitewashing all four walls of the room and also ceiling of the room, if the cost of whitewashing is Rs. 25 per m2, is:
12,400
13,600
18,000
12,000
Correct answer
12,400
Why this answer is correct
Given:
Length of the room = 12 m
Breadth of the room = 8 m
Height of the room = 10 m
Cost of whitewashing = 25 per m2
Formula used:
Lateral surface area = 2 × h × (l + b)
Area = l × b
l = Length
b = Breadth
h = Height
Calculation:
Area of walls = 2 × 10 × (12 + 8)
⇒ 20 × 20 = 400
Area of ceiling = 12 × 8 = 96
Total cost of whitewashing = 25 × (400 + 96) = 12400
∴ The total cost of whitewashing all four walls of the room and also the ceiling of the room is Rs. 12400
The present ages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:
60
84
48
72
Correct answer
84
Why this answer is correct
Given:
Present age ratio of A and B = 3 : 4
Ratio of age of A and B before 12 years = 2 : 3
Calculation:
Let the present age of A and B be 3x and 4x
⇒ (3x - 12)/(4x - 12) = 2/3
⇒ 3× (3x - 12) = 2× (4x -12)
⇒ 9x - 36 = 8x - 24
⇒ 9x - 8x = 36 - 24
⇒ x = 12
The total present age is 4x + 3x
⇒ 7x =7 × 12 = 84
∴ The total present age is 84years.
A ladder is resting against a wall. The angle between the foot of the ladder and wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:
5.4
14.4
3.6
7.2
Correct answer
7.2
Why this answer is correct
Given:
Angle of elevation of Ladder = 60º
Base of trianlge is 3.6 cm
Calculation:
In ∆ BAC
Cos 60º = 1/2
cosθ = B/H
1/2= 3.6/ AC
AC= 7.2 cm.
H = 7.2 m Here hypotenous is equal to length of ladder
Note: The mentioned answer is accepted in the previous year's answer key of the test conducting agency (SSC CPO). The interpretation of language may be ambiguous but the Answer key has the same answer marked as correct.
Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12 cm, and BP = 10 cm, then the length of AB (in cm) is:
4.4
6
5
5.4
Correct answer
4.4
Why this answer is correct
Given:
PC = 12 cm
PB = 10 cm
Formula used:
PC2 = AP × PB
Calculation:
Let AB be x cm
AP = AB + PB ⇒ x + 10
PC2 = AP × PB
⇒ 122 = 10 × (x + 10)
⇒ 144/10 = x + 10
⇒ x + 10 = 14.4
⇒ x = 14.4 -10
⇒ x = 4.4
∴ The length of chord AB is 4.4 cm
Study the given histogram that shows the marks obtained by student in an examination and answer the question that follows.
The number of students who obtained less than 250 marks is:
135
75
30
45
Correct answer
75
Why this answer is correct
The number of students who obtained 150 to 250 marks is 30
The number of students who obtained 200 to 250 marks is 45
The number of students who obtained 250 to 300 marks is 60
The number of students who obtained 300 to 350 marks is 35
The number of students who obtained 350 to 400 marks is 40
The number of students who obtained 400 to 450 marks is 35.
∴ Number of students who obtained less than 250 marks is 30 + 45 = 75 students.
How many numbers between 400 and 700 are divisible by 5, 6 and 7?
20
10
2
5
Correct answer
2
Why this answer is correct
Calculation:
L.C.M of 5,6 and 7 = 210
The first number divisible by 210 between 400 and 700 is 420.
The last number divisible by 210 between 400 and 700 is 630.
Tn = a + (n - 1) d
⇒ 630 = 420 + (n - 1) 210
⇒ 210 = (n - 1) 210
⇒ (n - 1) = 1
⇒ n = 2
Alternate Method:
L.C.M of 5,6 and 7 = 210
Quotient on dividing 400 by 210 = 1
Quotient on dividing 700 by 210 = 3
Hence, 3 - 1 = 2
∴ 2 is the answer.
The value of \(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\) is:
\(\frac{1}{3}\)
3
\(-\frac{1}{3}\)
Correct answer
Why this answer is correct
Given:
\(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\)
Identity used:
Sin θ = cos(90 - θ)
Sin2 θ + cos2 θ = 1
Calculation:
\(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\)
using Sin θ = cos(90 - θ)
⇒ \(\frac{{si{n^2}52^\circ ; + ;2; + ;si{n^2}\left( {90 - 52} \right)^\circ }}{{4co{s^2}43^\circ - 5; + ;co{s^2}\left( {90; - 43} \right)^\circ }}\)
⇒ \(\frac{{si{n^2}52^\circ ; + ;2; + ;co{s^2}52^\circ }}{{4co{s^2}43^\circ - 5; + ;si{n^2}43^\circ }}\)
Applying Sin2 θ + cos2 θ = 1
⇒ (1 + 2)/(4 - 5) ⇒ -3
∴ The value of \(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\) is -3.
In the following pie chart shows percentage of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question.
The central angle of the sector representing expenditure on Subsidy is:
75.6°
108.3°
90°
54.9°
Correct answer
75.6°
Why this answer is correct
Given:
Subsidy = 21%
Formula used:
Required angle = (360/100) × given percentage
Calculation:
Required angle = (360/100) × given percentage
⇒ subsidy angle = (360/100) × 21
⇒ subsidy angle = 75.6°
∴ The central angle for subsidy is 75.6°
On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995. The marked price of the article (in Rs.) is:
1,500
1,550
1,800
1,600
Correct answer
1,500
Why this answer is correct
Given:
Sum of selling price = Rs. 1995
Discount on 1st case = 35 percent
Discount on 2nd case (Successive) = 20 percent & 15 percent
Formula used:
Selling price = [(discount)/marked price] × 100
Or Selling price = [(100 – discount percent)/100] × marked price
Calculation:
Let marked price be 100x
[{(100 - 35)/100} × 100x] + [{(100-20)/100} × {(100-15)/100} × 100x] = 1995
⇒ 65x + [(80 × 85)/100]x = 1995
⇒ 65x + 68x = 1995
⇒ 133x = 1995
⇒ x = 15
⇒ 100x = 1500
∴ The marked price of the article is Rs. 1500
What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?
625
400
180
900
Correct answer
900
Why this answer is correct
In this type of problem, we find the LCM of five numbers first and then we look for what makes the LCM a perfect square.
1st term = 10 = 5 × 2
2nd term = 12 = 2 × 2 × 3
3rd term = 15 = 3 × 5
4th term = 18 = 2 × 3 × 3
5th term = 20 = 2 × 2 × 5
Hence, LCM ( 12,10,15,18,20)
⇒ 180
Since the LCM= 180 is not a perfect square , we make it a perfect square by multiplying 5 ( which is the least value to be multiplied)
Then 180 × 5 = 900 = 302
Therefore, 900 solider can be drawn up in the form of a square.
The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two number is:
377
464
406
435
Correct answer
435
Why this answer is correct
The HCF of a group of numbers will be always a factor of their LCM.
HCF is the product of all common prime factors using the least power of each common prime factor.
LCM is the product of the highest powers of all prime factors.
HCF of the two numbers = 29
Since HCF will be always a factor of LCM, 23 is a factor of the LCM.
Given that the other two factors in the LCM are 15 and 13
Calculation :
Hence factors of the LCM are 29,13,15
So, numbers can be taken as (29 × 13) and (29 × 15)
Hence, largest number = 435
If 4θ is an acute angle, and cot 4θ = tan (θ - 5°) , then what is the value of θ?
24°
45°
21°
19°
Correct answer
19°
Why this answer is correct
Given:
4θ is an acute angle,
And cot 4θ = tan (θ - 5°).
Formula used:
tan (90° - θ) = cot θ
Calculation:
cot 4θ = tan (θ -5°)
⇒ tan (90° - 4θ) = tan (θ -5°)
⇒ 90° - 4θ = θ -5°
⇒ 90° + 5° = θ + 4θ
⇒ 95° = 5θ
⇒ θ = 19°
∴ the value of θ is 19°.
A class has five sections that have 25, 30, 40, 45 and 60 students, respectively. The pass percentage of these sections are 20%, 30%, 35%, 40% and 100%, respectively. The pass percentage of the entire class is:
87%
79%
63%
53%
Correct answer
53%
Why this answer is correct
Given:
No. of students in the five sections are 25, 30, 40, 45, 60
Percentage of pass students in each section are 20% , 30%, 35%, 40%, 100% respectively
Formula Used:
% of pass student = no. of student pass/ total no. of student × 100
Calculation:
Let the following section be A, B, C, D, E
No. of students pass in section A = 25 × 20 /100 = 5
No. of students pass in section B = 30 × 30/100 = 9
No. of students pass in section C = 40 × 35/100 = 14
No. of students pass in section D = 45 × 40/100 =18
No. of students pass in section E = 60 × 100/100 = 60
Total no. of students pass in all section = 5 + 9 + 14 + 18 + 60 = 106
Total no. of student = 25 + 30 + 40 + 45 + 60 = 200
Pass % of entire class = 106/200 × 100 = 53%
The pass percentage of the entire class is 53%
On the marked price of Rs. 1,250 of an article, three successive discounts of 5%, 15% and 20% are offered. What will be the selling price (in Rs.) after all discounts?
807.50
975.75
1,000
950.25
Correct answer
807.50
Why this answer is correct
Given:
Marked price: Rs. 1,250
Discount offered 5%, 15% and 20%
Formula used:
S.P= M.P × {(100 - d1)/100} × {(100 - d2)/100} × ......× {(100 - dn)/100}
M.P = Marked price
S.P = Selling price
d1,d2....dn = discount%
Calculation:
We need to find S.P
S.P = M.P × {(100 - d1)/100} × {(100 - d2)/100} × ......× {(100 - dn)/100}
⇒ S.P = 1250 × {(100 - 5)/100} × {(100 - 15)/100} × {(100 - 20)/100}
⇒ S.P = 1250 × (95/100) × (85/100) × (80/100)
⇒ S.P = 807.50
∴ The selling price is Rs. 807.50
P and Q together can do a work in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-third part of the same work?
21days
30days
24days
36days
Correct answer
24days
Why this answer is correct
Given:
Time taken by P and Q to do the work = 12 days
P alone can do the work in 18 days
Calculation:
P and Q one day work = 1/12
P's one day work = 1/18
Q's one day work = (P + Q) - P
⇒ 1/12 -1/18
⇒ 1/36
Q can do whole work in 36 days
⇒ 2/3 work can be done by Q in 36 × (2/3) = 24days.
PQRS is a cyclic quadrilateral. If ∠P is 4 times ∠R, and ∠S is 3 times ∠Q, then the average of ∠Q and ∠R is:
45.7°
81°
90°
40.5°
Correct answer
40.5°
Why this answer is correct
Given:
**∠**P = 4 × ∠R
∠S = 3 × ∠Q
Concept Used:
Sum of the opposite angles in a cyclic quadrilateral is 180°
∠P + ∠R = 180°
∠Q + ∠S = 180°
Formula Used:
Average = sum of numbers/Total numbers
Calculation:
According to question
⇒ ∠P = 4 × ∠R
⇒ ∠P : ∠R = 4 : 1
By using the property
⇒ ∠P + ∠R = 180°
⇒ 4x + x = 180°
⇒ 5x = 180°
⇒ x = 36°
⇒ ∠R = 36°
Now,
⇒ ∠S = 3 × ∠Q
⇒ ∠S : ∠Q = 3 : 1
⇒ 3y + y = 180°
⇒ 4y = 180°
⇒ y = 45°
⇒ ∠Q = 45°
Average of ∠R and ∠Q is
⇒ (∠R + ∠Q)/2
⇒ (36° + 45°)/2
⇒ 81°/2 = 40.5°
∴ The average of ∠R and ∠Q is 40.5°
A boy increases his speed to \(\frac{9}{5}\) times of his original speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he take usually?
120
30
45
90
Correct answer
90
Why this answer is correct
Given:
TIme difference = 40 min
Formula Used:
Speed(S) = Distance(D)/Time(T)
Calculation:
Let the speed of the boy be x km/h
Distance = d
Intial time = t
New time = t1
Speed = Distance/TIme
⇒ x = d/t
⇒ t = d/x
New speed = x × (9/5) ⇒ 9x/5
⇒ 9x/5 = d/t2
⇒ t2 = 5d/9x
The difference between the time is 40mins
⇒ t - t1 = 40
⇒ (d/x) - (5d/9x) = 40
⇒ (9d-5d)/9x = 40
⇒ 4d/9x = 40
⇒ d/x = 40 × (9/4)
times = distance/speed
⇒ t = 90
∴ The usual time take by the boy to go school is 90mins
We use ratio method
Let initial speed be s1 and new speed be s2
and initial time be t and new time be t1
⇒ s1 × (9/5) = s2
⇒ s1 : s2 = 5 : 9
As the distance is constant the reverse of the ratio speed will give as ratio of time
⇒ t : t1 = 9 : 5
⇒ t - t1 = 40
⇒ 9x - 5x = 40
⇒ 4x = 40 ⇒ x = 10
⇒ initial time = t = 9x = 9 × 10
∴ The usual time take by the boy to go school is 90mins
Alternate Method
Let the normal time taken by him = X
as he increases his speed by 9/5 times the time taken decreases by 5/9 times
New time taken = 5/9X
⇒ X - 5/9X = 4/9X = 40 min
⇒ X = 90 mins
∴ The usual time taken by the boy to go to school is 90mins
The average temperature for Monday, Wednesday and Friday was 41°C. The average for Wednesday, Friday and Thursday was 42°C. If the temperature on Thursday was 43°C, then the temperature on Monday was:
41°C
42°C
43°C
40°C
Correct answer
40°C
Why this answer is correct
Formula used:
Average = Sum of observations ÷ Number of observations
Calculation:
Average temperature on Monday, Wednesday, and Friday is 41°C
⇒ M + W + F = 41 × 3 = 123 -----(1)
Average temperature on Wednesday, Friday, and Thursday is 42°C
⇒ W + F + T = 42 × 3 = 126 -----(2)
According to the question,
Temperature on Thursday = 43°C
⇒ W + F = 126 - 43 = 83 [From Equation(2)]
⇒ M + 83 = 123 [From Equation(1)]
⇒ M = 123 -83 = 40
∴ The temperature on Monday is 40°C.
The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of a square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:
40
50
80
100
Correct answer
50
Why this answer is correct
Shortcut Trick
Equating areas of square (side a) and rectangle (L = a + 10, B = a − 5):
⇒ a2 = (a + 10) × (a − 5) ⇒ a2 = a2 + 5a − 50
⇒ 5a = 50 ⇒ a = 10 cm
⇒ Perimeter = 2 × (L + B) = 2 × (20 + 5) = 50 cm
∴ The correct answer is 50 cm.
Alternate Method
Given:
Area of square = Area of rectangle
Length of rectangle (L) = Side of square (a) + 10
Breadth of rectangle (B) = Side of square (a) − 5
Area = a² a a
Area = L × B L = a + 10 B = a − 5
=
Perimeter = 2 × (L + B)
Formula Used:
Area of square = a2
Area of rectangle = L × B
Perimeter of rectangle = 2 × (L + B)
Calculations:
⇒ a2 = (a + 10) × (a − 5)
⇒ a2 = a(a − 5) + 10(a − 5)
⇒ a2 = a2 − 5a + 10a − 50
⇒ a2 = a2 + 5a − 50
⇒ 5a = 50
⇒ a = 10 cm
Now, calculate the dimensions of the rectangle:
⇒ Length (L) = 10 + 10 = 20 cm
⇒ Breadth (B) = 10 − 5 = 5 cm
Calculate the perimeter of the rectangle:
⇒ Perimeter = 2 × (20 + 5)
⇒ Perimeter = 2 × 25 = 50 cm
∴ The correct answer is 50 cm.
Additional Information
Rectangle Properties
Area = Length × Breadth | Perimeter = 2 × (Length + Breadth) | Diagonal = √(L2 + B2).
Square Properties
Area = a2 | Perimeter = 4a | Diagonal = a√2, where a is the side length.
Relationship between Area and Perimeter
For a given constant perimeter, a square will always enclose the maximum possible area compared to any other rectangle. For a given constant area, a square has the minimum possible perimeter.
In ΔABC, ∠A = 68°. If I is the incentre of the triangle, then the measure of ∠BIC is:
124°
68°
54°
148°
Correct answer
124°
Why this answer is correct
Given:
In ΔABC,
∠A = 68°
Formula Used:
As we know incentre is the meet point of all the angle bisectors
Incentre of a triangle = 90° + ∠A/2
Calculation:
Substituting the values in the formula
∠BIC= 90° + 68/2
⇒ ∠BIC = 124°
∴ ∠BIC = 124°
The value of -7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:
\(- \frac{7}{2}\)
7
\( \frac{7}{2}\)
Correct answer
7
Why this answer is correct
Concept used:
Calculation:
⇒ - 7 ÷ [5 + 1 ÷ 2 - {4 + (8 ÷ 4) + (4 ÷ 8)}]
⇒ - 7 ÷ [5 + 1 ÷ 2 - {4 + 2 + 1/2)}]
⇒ - 7 ÷ [5 + 1/2 - 6.5]
⇒ - 7 ÷ [5.5 - 6.5]
⇒ -7/-1
∴ Answer is 7
The value of \(\frac{{4.35 \times 4.35 \times 4.35 + 3.25 \times 3.25 \times 3.25}}{{43.5 \times 43.5 + 32.5 \times 32.5 - 43.5 \times 32.5}}\) is:
0.76
0.0076
7.6
0.076
Correct answer
0.076
Why this answer is correct
Formula used:
a3 + b3 = (a + b) × (a2 + b2 – a × b)
Calculation:
[(4.35)3 + (3.25)3]/[(43.5)2 + (32.5)2 – 43.5 × 32.5]
⇒ [(4.35 + 3.25) × {(4.35)2 +(3.25)2 - (4.35 × 3.25)}]/[100 × {(4.35)2 + (3.25)2 – (4.35 × 3.25)}]
⇒ [4.35 + 3.25]/100
⇒ 7.6/100
⇒ 0.076
∴ The answer is 0.076
The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, B6, during two consecutive years 2018 and 2019. Blue color corresponds to the year 2018 and the light blue color corresponds to the year 2019.
The total sale of cars from all the branches in the year 2018 is what percentage less than the total sales of cars from all the branches in the year 2019? (correct to one decimal place)
14.3%
13.5%
12.7%
11.9%
Correct answer
12.7%
Why this answer is correct
Total number of cars in 2018
80 + 75 + 95 + 85 + 75 + 70 = 480
Total number of cars in 2019
110 + 105 + 65 + 95 + 95 + 80 = 550
Different between 2018 and 2019
550 - 480 = 70
Percentage less than the total sales cars from all the branches in the 2019
⇒ \(\frac{{70}}{{550}} \times 100\)
⇒ 12.7
Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?
11:20 p.m.
3:20 p.m.
7:20 p.m.
5:20 p.m.
Correct answer
3:20 p.m.
Why this answer is correct
Shortcut Trick
Total Capacity (LCM of 15, 30, 40) = 120 units.
Efficiency: A = 8, B = 4, C = 3.
Work done by A (6 am to 10 am = 4 hrs) = 8 × 4 = 32 units.
Work done by B (8 am to 10 am = 2 hrs) = 4 × 2 = 8 units.
Remaining work at 10 am = 120 − (32 + 8) = 80 units.
Time from 10 am = 80 ÷ (8 + 4 + 3) = 80 ÷ 15 = 5 hours 20 minutes → 3:20 p.m.
∴ The correct answer is 3:20 p.m.
Alternate Method
Given: Filling times: A = 15 hrs, B = 30 hrs, C = 40 hrs. Opening times: A = 6 a.m., B = 8 a.m., C = 10 a.m.
Formula Used: Work = Time × Efficiency | Efficiency = Total Work ÷ Individual Time
| Person | Days | Total Work | Efficiency |
|---|---|---|---|
| Pipe A | 15 | 120 | 8 |
| Pipe B | 30 | 4 | |
| Pipe C | 40 | 3 |
⇒ Between 6 a.m. and 8 a.m. (2 hrs), only A is open.
⇒ Work done by A = 8 × 2 = 16 units.
⇒ Between 8 a.m. and 10 a.m. (2 hrs), A and B both are open.
⇒ Work done by A + B = (8 + 4) × 2 = 12 × 2 = 24 units.
⇒ Total work completed by 10 a.m. = 16 + 24 = 40 units.
⇒ Remaining work to be done after 10 a.m. = 120 − 40 = 80 units.
⇒ After 10 a.m., all three pipes A, B and C are open. Combined efficiency = 8 + 4 + 3 = 15 units/hr.
⇒ Additional time taken = 80 ÷ 15 = 5.33 hours = 5 hours (0.33 × 60) mins = 5 hours 20 minutes.
⇒ Final time = 10:00 a.m. + 5 hours 20 minutes = 3:20 p.m.
∴ The correct answer is 3:20 p.m.
Additional Information
Pipes and Cisterns - Negative Work
If an outlet pipe (leak) is present, its efficiency is taken as negative. Total efficiency = ∑(Filling efficiencies) − ∑(Emptying efficiencies).
Alternate Filling
If pipes are opened for 1 hour each in turn, calculate the work done in one full cycle (sum of efficiencies) and then find the number of cycles to reach total work.
Total Capacity Rule
Taking the LCM of individual times as the total capacity of the tank simplifies calculations by converting fractional work into whole number units of efficiency.
Fractional Time Conversion
To convert decimal or fractional hours to minutes, multiply the fractional part by 60. Example: 0.33 hours = 1/3 × 60 = 20 minutes.
If x + y + z = 13, x2 + y2 + z2 = 133 and x3 + y3 + z3 = 847, then the value of \(\sqrt[3]{{xyz}}\) is:
-9
-6
7
8
Correct answer
-6
Why this answer is correct
GIven
x + y + z = 13,
x2 + y2 + z2 = 133
x3 + y3 + z3 = 847
Formula used :
x3 + y3 + z3 - 3xyz = (x + y + z) ( x2 + y2 + z2 - (xy + yz + zx) ) ----(1)
(x + y + z)2 = x2 + y2 + z2+ 2(xy + yz + zx) ----(2)
Calculation:
From Equation (2)
⇒ 132 = 133 + 2(xy + yz + zx)
⇒ 169 - 133 = 2(xy + yz+ zx)
⇒ (xy + yz + zx) = 36/2
⇒ (xy + yz + zx) = 18
Put all the values in Equation (1);
x3 + y3 + z3 - 3xyz = (x + y + z) ( x2 + y2 + z2 - (xy + yz + zx) )
⇒ 847 - 3xyz = 13(133 - 18)
⇒ 847 - 115×13 = 3(xyz)
⇒ - 648 = 3(xyz)
⇒ - 216 = xyz
⇒ - (216)1/3 = (xyz)1/3
⇒ - (216)1/3 = ∛xyz
So, the value of ∛xyz = - 6
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
The police were accused to tamper with the evidence.
accused of tampering
accusing to tamper
No substitution required
accused to tampered
Correct answer
accused of tampering
Why this answer is correct
The correct answer is - accused of tampering.
Key Points
Correct Sentence: The police were accused of tampering with the evidence.
Additional Information
Select the most appropriate meaning of the given idiom.
Kick up a row
arrange in rows
cause a disturbance
hit someone angrily
break a queue
Correct answer
cause a disturbance
Why this answer is correct
The correct answer is- cause a disturbance.
Key Points
Let's look at the meaning of the given idiom:
Kick up a row- make a noise or commotion
Example:
He kicked up a tremendous row about having to wait.
Additional Information
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
He decided not to take to heart the loss that he had incurred in the business.
be taking heart
No substitution required
take heart of
takes to heart
Correct answer
No substitution required
Why this answer is correct
The correct answer is- No substitution required.
Key Points
Correct Sentence: He decided not to take to heart the loss that he had incurred in the business.
Additional Information
Select the most appropriate ANTONYM of the given word.
DIVERGE
branch
divide
stray
collect
Correct answer
collect
Why this answer is correct
The correct answer is: collect.
Key Points
Therefore, the correct answer is: collect.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Select the correctly spelt word.
riteous
righteous
rightious
richeous
Correct answer
righteous
Why this answer is correct
The correct answer is - righteous.
Key Points
Let's look at the correct spelling and meaning of the marked option:
righteous- (of a person or conduct) morally right or justifiable; virtuous
Example:
He was regarded as a righteous and holy man.
Select the misspelt word.
Jeopardy
Ingenuity
Committee
Neglegible
Correct answer
Neglegible
Why this answer is correct
The correct answer is - Neglegible.
Key Points
Select the correctly spelt word.
bowquet
bouquet
bouckey
bookay
Correct answer
bouquet
Why this answer is correct
The correct answer is - bouquet.
Key Points
Let's look at the correct spelling and meaning of the marked option:
bouquet- an attractively arranged bunch of flowers, especially one presented as a gift or carried at a ceremony
Example:
Chris sent me a lovely bouquet when I was sick.
Select the most appropriate ANTONYM of the given word.
EXPEL
remove
absorb
leave
erupt
Correct answer
absorb
Why this answer is correct
The correct answer is: Option 2.
Key Points
Therefore, the correct answer is: Option 2.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Select the most appropriate meaning of the given idiom.
The sword of Damocles
a rare artifact
an impending threat
a poignant weapon
an authentic sword
Correct answer
an impending threat
Why this answer is correct
The correct answer is- an impending threat.
Key Points
Additional Information
Select the most appropriate ANTONYM of the given word.
SUAVE
brisk
polite
charming
rude
Correct answer
rude
Why this answer is correct
The correct answer is: Option 4.
Key Points
Therefore, the correct answer is: Option 4.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Identify the segment in the sentence which contains a grammatical error.
Two elderly ladies narrated an rather improbable story to the police.
narrated an rather
Two elderly ladies
improbable story
to the police
Correct answer
narrated an rather
Why this answer is correct
The correct answer is narrated a rather.
Key Points
Correct Sentence: *Two elderly ladies narrated a rather improbable story to the police. Or Two elderly ladies narrated rather an improbable story to the police.*
Additional Information
Any abbreviation having the sound of a vowel will be preceded by the article 'an'.
For example:
He is a MLA.
He is an MLA.
Fill in the blank with the most appropriate word.
He was born in a business family and has a natural aptitude ______ business.
at
for
to
on
Correct answer
for
Why this answer is correct
The correct answer is - for.
Key Points
Correct Sentence: He was born in a business family and has a natural aptitude for business.
Additional Information
There are some fixed prepositional phrases given below:
by the dint of, out of jealousy, in danger, by car/bus/train, owing to, on a trip, for a change, etc.
For example:
I went on a trip to Goa last month.
कुछ verbs/nouns/adjectives हैं जो नीचे दिए गए fixed preposition के बाद हैं:
से बाहर निकलना(Exonerate from), से बचना( refrain from), शक करना( suspicious of), पर आधारित(based on), के लिए उपयुक्तता(aptitude for), के लिए(inured to), पर आरोप लगाया(accused of), के लिए एक पूर्वाभास(a predilection for), से राहत(respite from), पर से (vexed at), आदि
उदाहरण:
After spending some time on the island, they became inured to the hardships.
इसलिए, ऊपर दिए गए वाक्यांशों के अनुसार, 'for' सही विकल्प होगा।
दिए गए वाक्यांश 'aptitude for' का मतलब कुछ करने की natural ability है
Select the most appropriate meaning of the given idiom.
Tide over
to deceive
to overcome
to jump over
to change sides
Correct answer
to overcome
Why this answer is correct
The correct answer is- to overcome.
Key Points
Additional Information
Select the most appropriate one-word substitution for the given group of words.
To go around an area to keep a watch
patrol
campaign
explore
cruise
Correct answer
patrol
Why this answer is correct
The correct answer is - patrol.
Key Points
Let's look at the meaning of the marked option:
patrol- an expedition to keep watch over an area, especially by guards or police walking or driving around at regular intervals
Let's look at the meanings of the other given options:
campaign- an organized course of action to achieve a goal
explore- travel in or through (an unfamiliar country or area) in order to learn about or familiarize oneself with it
cruise- sail about in an area without a precise destination, especially for pleasure
Hence, from the given meanings, we find that patrol is the correct one-word substitute.
Fill in the blank with the most appropriate word.
The wise try to improve themselves ______ the fools keep blaming their luck.
therefore
whereas
whether
still
Correct answer
whereas
Why this answer is correct
The correct answer is- whereas.
Key Points
Correct sentence: The wise try to improve themselves whereas the fools keep blaming their luck.
Additional Information
Select the most appropriate synonym of the given word.
TUMULT
uproar
surprise
peace
clarity
Correct answer
uproar
Why this answer is correct
The correct answer is: Option 1.
Key Points
Therefore, the correct answer is: Option 1.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Select the most appropriate ANTONYM of the given word.
DEFILE
Evade
Debase
Degrade
Elevate
Correct answer
Elevate
Why this answer is correct
The correct answer is: Option 4.
Key Points
Therefore, the correct answer is: Option 4.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Fill in the blank with the most appropriate word.
______! What a frightening experience it was!
Hurray
Bravo
Oh
Alas
Correct answer
Oh
Why this answer is correct
The correct answer is- Oh.
Key Points
Correct Sentence: Oh! What a frightening experience it was!
Direction: In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Alfred Hitchcock was a man with vivid imagination, (1)______ skills and a passion for life. With his (2)______ style and God-gifted wit he produced and directed (3)______ of the most thrilling films that had the audience swooning (4)______ fright and falling off their seats with laughter. He was greatly (5)______ by American films and magazines.
Select the most appropriate option to fill in blank no. 2
separate
dull
unique
ordinary
Correct answer
unique
Why this answer is correct
The correct answer is - unique.
Key Points
Select the most appropriate synonym of the given word.
COVETED
despised
covered
desired
renounced
Correct answer
desired
Why this answer is correct
The correct answer is: Option 3.
Key Points
Therefore, the correct answer is: Option 3.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
She is being waited for you for two hours.
have been waited
has been waiting
No substitution required
had wait
Correct answer
has been waiting
Why this answer is correct
The correct answer is- has been waiting.
Key Points
Correct Sentence: She has been waiting for you for two hours.
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
The train was delayed in order to an accident.
because
since
owing to
No substitution required
Correct answer
owing to
Why this answer is correct
The correct answer is- owing to.
Key Points
Correct Sentence: The train was delayed owing to an accident.
Additional Information
Select the most appropriate one-word substitution for the given group of words.
A deceased holy person’s remains or belongings kept for reverence
Relic
Trophy
Memento
Souvenir
Correct answer
Relic
Why this answer is correct
The correct answer is - Relic.
Key Points
Select the most appropriate one-word substitution for the given group of words.
A person of evil reputation
renowned
famous
notorious
icon
Correct answer
notorious
Why this answer is correct
The correct answer is - notorious.
Key Points
Let's look at the meaning of the marked option:
notorious- famous or well known, typically for some bad quality or deed
Let's look at the meanings of the other given options:
renowned- known or talked about by many people; famous
icon- a person or thing regarded as a representative symbol or as worthy of veneration
Hence, from the given meanings, we find that notorious is the correct one-word substitute.
Direction: Read the given passage and answer the questions that follow.
Fishing traps, baskets, cradles, bridges, rainproof hats and umbrellas, mats, musical instruments, water pipes—Indians have always used the bamboo in numerous ways. It is used for house construction, fencing and in the making of bullock carts. Low-cost domestic furniture and a vast range of domestic utility items made of bamboo can be easily seen in any of our bazaars. But we do not easily notice the countless little ways this modest material comes to be used by rural people. One can see it being used in the blacksmith’s bellows, or as bamboo pins in carpentry joints or in the fabrication of toys in village markets. But to the British foresters the multidimensional role that “the forest weed” played in the local Indian environment was of no account, as it did not figure in forest revenues. Bamboo also interfered with the growing of teak, an essential part of their colonial forest policy. It was only in the 1920s that the British realised that by mincing bamboo into millimetre shreds, cooking it in chemicals, pulping and flattening it, they could produce sheets of paper. This would bring the British increased forest revenue and ‘development’ (as defined by them) to the so-called backward regions of India. However, they chose to ignore the consequences this activity would have on the health of the forest. So while bamboo was sold at high prices to basket weavers, it was heavily subsidised for the paper industry. Even after Independence, supplying bamboo at extremely low prices to Indian paper mills became a ‘patriotic’ duty of the government, and bamboo supplies were assured for decades at unchanged prices. The disaster that this would cause to the forests, and to the craftsperson, still remained unforeseen. Colonialism affected forests all across India and marginalised their inhabitants and the traditional occupations they practised. As late as the 1970s, the World Bank proposed that 4,600 hectares of natural Sal forest should be replaced by tropical pine to provide pulp for the paper industry. It was only after protests by local environmentalists that the project was stopped. Colonialism was therefore not only about repression, it was also a story of displacement, impoverishment and ecological crisis.
What does the ‘forest weed’ refer to ?
Pine
Bamboo
Teak
Sal
Correct answer
Bamboo
Why this answer is correct
The correct answer is Bamboo.
Key Points
Bamboo is referred to as ‘modest material’ because:
the British believed it was worthless
it can be easily shredded and reduced to a pulp
it is available in abundance in India
it is inexpensive and not highly acclaimed
Correct answer
it is inexpensive and not highly acclaimed
Why this answer is correct
The correct answer is- it is inexpensive and not highly acclaimed.
Key Points
Which of these is NOT a step in the production of paper ?
Mincing
Weaving
Flattening
Pulping
Correct answer
Weaving
Why this answer is correct
The correct answer is- Weaving.
Key Points
Select the most appropriate one-word substitution for the given group of words.
A person who believes everything easily
plausible
creditor
reliable
credulous
Correct answer
credulous
Why this answer is correct
The correct answer is - credulous.
Key Points
Fill in the blank with the most appropriate option.
I am allowed to take photographs inside the church, ______?
am I
can’t I
shall I
aren’t I
Correct answer
aren’t I
Why this answer is correct
The correct answer is- aren’t I.
Key Points
If the statement is negative, the question tag must be positive and vice versa.
The sentence and the question tag must be in the same tense.
There is no contracted form of 'am not', the question tag 'aren't I' is used.
Example:
I am fine here, were I?
I am fine here, aren't I?
Thus in the blank part of the given question, 'aren’t I' will be the correct choice.
Correct Sentence: I am allowed to take photographs inside the church, aren't I?
Additional Information
If the sentence starts with 'There', the question tag will have 'there' instead of the pronoun.
Example:
There is no air in space, was there?
There is no air in space, is there?
Select the most appropriate one-word substitution for the given group of words.
Holding an office without receiving a pay
honorary
charity
startup
freelance
Correct answer
honorary
Why this answer is correct
The correct answer is - honorary.
Key Points
Let's look at the meaning of the marked option:
honorary- (of an office or its holder) unpaid
Let's look at the meanings of the other given options:
charity- an organization set up to provide help and raise money for those in need
startup- the action or process of setting something in motion
freelance- working for different companies at different times rather than being permanently employed by one company
Hence, from the given meanings, we find that honorary is the correct one-word substitute.
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
The large mansion was over his reaching.
No substitution required
beyond his reach
above his reaching
away from reaching
Correct answer
beyond his reach
Why this answer is correct
The correct answer is- beyond his reach.
Key Points
There are some fixed prepositional phrases given below:
by the dint of, out of jealousy, in danger, by the dozen, owing to, on a trip, for a change, etc.
For example:
I went on a trip to Goa last month.
The phrase 'beyond/out of one's reach' means that someone is not able to get or buy.
Thus the prepositional phrase 'beyond his reach' will be the correct choice.
Correct Sentence: The large mansion was beyond his reach.
Additional Information
Select the most appropriate option to fill in blank no. 5
determined
altered
influenced
attached
Correct answer
influenced
Why this answer is correct
The correct answer is - influenced.
Key Points
Select the most appropriate meaning of the given idiom.
Through thick and thin
under extreme pressure
by unfair means
going through pain
under all circumstances
Correct answer
under all circumstances
Why this answer is correct
The correct answer is- under all circumstances.
Key Points
Additional Information
Through thick and thin: सुख दुःख में
Select the most appropriate synonym of the given word.
INTRIGUING
investigating
simultaneous
gripping
monotonous
Correct answer
gripping
Why this answer is correct
The correct answer is: gripping.
Key Points
Therefore, the correct answer is: gripping.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
What was considered to be a patriotic duty of the government after independence ?
Supplying bamboo at low prices to paper mills
Replacing Sal forests by tropical pines
Handling the ecological crisis in India
Preventing the displacement of foresters
Correct answer
Supplying bamboo at low prices to paper mills
Why this answer is correct
The correct answer is- Supplying bamboo at low prices to paper mills.
Key Points
Select the most appropriate synonym of the given word.
SHOVE
poke
halt
pull
shout
Correct answer
poke
Why this answer is correct
The correct answer is: Option 1.
Key Points
Therefore, the correct answer is: Option 1.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Identify the segment in the sentence which contains a grammatical error.
Sam took a little time to thought before he replied.
a little time
Sam took
before he replied
to thought
Correct answer
to thought
Why this answer is correct
The correct answer is- to thought.
Key Points
A to-infinitive is the 'to + the base form of the verb', e.g., to sing, to dance, etc.
There are certain verbs that are used in a particular pattern given below:
Subject + verb + noun/pronoun + to-infinitive.
Some of the verbs are given below:
ask, tell, advise, encourage, urge, wish, intend, invite, help, allow, hate, permit, etc.
For example:
I urge you helping me solve this problem.
I urge you to help me solve this problem.
According to the rule and the example given above, 'to think' will be used in the 4th part of the sentence.
Correct Sentence: Sam took a little time to think before he replied.
Additional Information
Select the most appropriate synonym of the given word.
LOFTY
plain
towering
silent
humble
Correct answer
towering
Why this answer is correct
The correct answer is: Option 2.
Key Points
Therefore, the correct answer is: Option 2.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Select the most appropriate option to fill in blank no. 1
leading
original
creative
clever
Correct answer
creative
Why this answer is correct
The correct answer is - creative.
Key Points
Select the INCORRECTLY spelt word.
Inimical
Etiquette
Afiliate
Adjourn
Correct answer
Afiliate
Why this answer is correct
The correct answer is - Afiliate.
Key Points
Select the most appropriate option to fill in blank no. 4
through
with
by
of
Correct answer
with
Why this answer is correct
The correct answer is - with.
Key Points
Additional Information
Select the most appropriate ANTONYM of the given word.
DEFICIENCY
glitch
dearth
snag
excess
Correct answer
excess
Why this answer is correct
The correct answer is: Option 4.
Key Points
Therefore, the correct answer is: Option 4.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Select the most appropriate option to fill in blank no. 3
more
some
much
any
Correct answer
some
Why this answer is correct
The correct answer is- some.
Key Points
Additional Information
Identify the segment in the sentence which contains a grammatical error.
Miss Marple is neither a good singer or a good stage artist.
stage artist
neither a good singer
or a good
Miss Marple is
Correct answer
or a good
Why this answer is correct
The correct answer is**-** or a good.
Key Points
In a sentence, the verb is used according to person and number.
There are some conjunctions which are used in pair. Some of them are given below:
Neither-nor, either-or, not only-but also, so-that, etc.
For example:
Either Sam nor Eric is coming to the wedding.
Either Sam or Eric is coming to the wedding.
In the 3rd part of the given question, 'nor' will replace 'or' as the sentence contains 'neither' in the former part.
Correct Sentence: Miss Marple is neither a good singer nor a good stage artist.
Additional Information
Select the most appropriate meaning of the given idiom.
Bear the brunt of
assume an identity
bear discrimination
breed jealousy
bear the maximum fury
Correct answer
bear the maximum fury
Why this answer is correct
The correct answer is- bear the maximum fury.
Key Points
Additional Information
Identify the segment in the sentence which contains a grammatical error.
The two trains gave the illusion of been stationary.
The two
the illusion
of been stationary
trains gave
Correct answer
of been stationary
Why this answer is correct
The correct answer is- of been stationary.
Key Points
Correct Sentence: The two trains gave the illusion of being stationary.
Additional Information
The varied uses of bamboo were disregarded by the British till the 1920s because:
they did not use bamboo products at all
it was used in the backward regions only
the bamboo products were cheaply available
it did not increase the forest revenue
Correct answer
it did not increase the forest revenue
Why this answer is correct
The correct answer is- it did not increase the forest revenue.
Key Points
Directions: Four words have been given and one of these words is correctly spelt. Identify the word with the correct spelling and mark the answer.
reccommend
recommend
recomend
recommened
Correct answer
recommend
Why this answer is correct
The correct answer is - recommend.
Key Points
आइए चिह्नित विकल्प की सही वर्तनी और अर्थ देखें:
Identify the segment in the sentence which contains a grammatical error.
The jury (A) are from different parts (B) of the country. (C) No Error (D)
No Error
The jury
of the country
are from different parts
Correct answer
are from different parts
Why this answer is correct
The correct answer is- Option (D) i.e. "are from different parts"
Key Points
In a sentence, the verb is used according to person and number.
Collective nouns take a singular verb with them.
For example:
The herd of cows are grazing in the farms.
The herd of cows is grazing in the farms.
Since the collective noun 'jury' signifies a body of people selected to judge a competition, the verb will conform to it.
Hence 'is' will be used in Option (D).
Correct Sentence: The jury is from different parts of the country.
Additional Information
Fill in the blank with the most appropriate word.
More than half the drain ______ been desilted.
have
is
was
has
Correct answer
has
Why this answer is correct
The correct answer is- has.
Key Points
Correct Sentence: More than half the drain has been desilted
200 questions in the full paper