Held in 2017
Paper last updated:
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.
In the following question, select the word which cannot be formed using the letters of the given word.
TREASURER
SURE
TREAT
REST
TEASE
Correct answer
TREAT
Why this answer is correct
In word ‘Treat’, there is two ‘T’. But we have only one ‘T’ in the give word ‘TREASURE**’.**
Hence, the correct answer is ‘TREAT’.
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.
| 4 | 8 | 5 |
|---|---|---|
| 3 | 6 | 9 |
| 10 | 46 | ? |
43
45
47
41
Correct answer
43
Why this answer is correct
The following logic is applied:
(4 × 3 - 2) = 12 – 2 = 10 and
(8 × 6 - 2) = 48 – 2 = 46
Similarly,
(5 × 9 - 2) = 45 –2 = 43
Hence, the correct answer is 43.
In the following question, select the missing number from the given series.
5, 9, 26, ?, 514, 3083
105
103
98
95
Correct answer
103
Why this answer is correct
The pattern followed is:
5 × 2 – 1 = 9
9 × 3 – 1 = 26
26 × 4 – 1 = 103
103 × 5 – 1 = 514
514 × 6 – 1 = 3086
Hence, ‘103’ is the correct answer.
In the following question, select the related letter pair from the given alternatives.
PRAY : SNEV : : ? : ?
GREY : JPIU
PONG : SPIB
SAGE : VWKB
LIST : ILVQ
Correct answer
SAGE : VWKB
Why this answer is correct
The pattern followed is:
Similarly,
Hence, ‘VWKB’ is the correct answer.
Which answer figure will complete the pattern in the question?
Correct answer
Why this answer is correct
Completing the incomplete pattern,
Hence, option 1 is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
AZ, DW, IR, PK, ?
WD
UF
VE
YB
Correct answer
YB
Why this answer is correct
The pattern followed is:
And the second term is reverse pair of 1st term.
Hence, ‘YB’ is the correct answer.
How many triangles are there in the given figure?
8
7
9
6
Correct answer
7
Why this answer is correct
Triangles in the given figure: PQR, PRS, PST, PQS, PRT, PVU, PQT
Hence, the correct answer is 7.
If "P" denotes "added to", "Q" denotes "subtracted from", "R" denotes "divided by" and "S" denotes "multiplied by", then which of the following equation is true?
18 S 12 R 4 P 5 Q 6 = 65
4 P 57 R 3 Q 7 S 3 = – 2
6 P 7 Q 12 R 6 S 3 = 7
29 Q 28 R 2 P 3 S 2 = 10
Correct answer
6 P 7 Q 12 R 6 S 3 = 7
Why this answer is correct
Decoding given information:
| P | Q | R | S |
|---|---|---|---|
| Denotes | |||
| + | - | ÷ | × |
After replacing letters by their respective signs:
= 18 × 3 + 5 – 6
= 54 + 5 – 6
= 59 – 6
= 53 ≠ 65
= 4 + 19 - 7 × 3
= 4 + 19 – 21
= 23 – 21
= 2 ≠ -2
= 6 + 7 - 2 × 3
= 6 + 7 – 6
= 13 – 6
= 7
= 29 - 14 + 3 × 2
= 29 - 14 + 6
= 35 - 14
≠ 21
Hence, the correct answer is ‘6 P 7 Q 12 R 6 S 3 = 7’.
If 'A + B' means 'A is brother of B', 'A - B' means 'A is sister of B', 'A * B' means 'A is father of B', 'A ÷ B' means 'A is mother of B', then which of the following option signifies that P is grandmother of Q?
R – P * O – S – Q
R – P ÷ O + S * Q
R + P * O + S * Q
R – P * O + S ÷ Q
Correct answer
R – P ÷ O + S * Q
Why this answer is correct
We will use following table to draw tree diagram:
Checking all options:
P is grandfather of Q.
P is grandmother of Q.
P is grandfather of Q.
P is grandfather of Q.
Hence, the correct answer is ‘R – P ÷ O + S * Q’.
In the following question, select the odd number pair from the given alternatives.
36 : 729
48 : 1728
87 : 2744
74 : 1331
Correct answer
87 : 2744
Why this answer is correct
The pattern followed is:
(3 + 6) = 9, 93 = 729
(4 + 8) = 12, 123 = 1728
(8 + 7) = 15, 153 = 3375 ≠ 2744
(7 + 4) = 11, 113 = 1331
Hence, ‘87: 2744’ is the odd among given.
A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?
Correct answer
Why this answer is correct
By opening the paper,
Hence, option 3 is the correct answer.
Three position of a cube are shown below.
which numbers will come on two faces marked ‘A and B’?
1 and 2
6 and 1
4 and 2
5 and 2
Correct answer
4 and 2
Why this answer is correct
By looking at given cubes we get that
3 will be opposite of 1
5 will be opposite of 2
6 will be opposite of 4
(1 and 2) → 1 cannot be adjacent of 3.
(6 and 1) → 1 cannot be adjacent of 3
(4 and 2) → This is the correct answer.
(5 and 2) → 2 cannot be adjacent to 5.
Hence, ‘4 and 2’ is the correct answer.
In a certain code language, "BRAIN" is written as "PGCPD" and "STOLE" is written as "GJQRU". How is "ZURIC" written in that code language?
DIPVY
EGTSB
DKUVB
EKTWB
Correct answer
EGTSB
Why this answer is correct
The pattern followed is:
And
Similarly,
Hence, the correct answer is ‘EGTSB’.
In the following question, select the related word pair from the given alternatives.
Mathematics : Numbers : : ? : ?
Geography : Chemicals
Chemistry : Law of motion
History : Events
Economics : Dates
Correct answer
History : Events
Why this answer is correct
Mathematics is the subject which deal with numbers,
Similarly,
History subject deals with past events.
Hence, ‘History: Events’ is the correct answer.
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘V’ can be represented by 20, 44, etc, and ‘R’ can be represented by 66, 97 etc. Similarly, you have to identify the set for the word ‘SLAIN'.
| Matrix - I | |||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |
| 0 | Q | V | N | I | S |
| 1 | I | S | Q | V | N |
| 2 | V | N | I | S | Q |
| 3 | S | Q | V | N | I |
| 4 | N | I | S | Q | V |
| Matrix - II | |||||
|---|---|---|---|---|---|
| 5 | 6 | 7 | 8 | 9 | |
| 5 | A | L | M | P | R |
| 6 | P | R | A | L | M |
| 7 | L | M | P | R | A |
| 8 | R | A | L | M | P |
| 9 | M | P | R | A | L |
04, 68, 55, 23, 20
30, 55, 56, 03, 32
23, 56, 67, 34, 40
11, 68, 66, 14, 21
Correct answer
23, 56, 67, 34, 40
Why this answer is correct
04, 68, 55, 23, 20 → S L A S V
30, 55, 56, 03, 32 → S A L IV
23, 56, 67, 34, 40 → S L A I N
11, 68, 66, 14, 21 → S L R N N
Hence, ‘23, 56, 67, 34, 40’ is the correct answer.
A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?
Correct answer
Why this answer is correct
Hence, option 3 is the correct answer.
Arrange the given words in the sequence in which they occur in the dictionary.
14523
14325
15432
12453
Correct answer
14523
Why this answer is correct
Seven → Stare → Sting → Store → Strom
Hence, ‘14523’ is the correct answer.
In the following question, select the odd word from the given alternatives.
Earth
Sun
Mercury
Jupiter
Correct answer
Sun
Why this answer is correct
Earth, Mercury, Jupitar are planets in the solar system, but Sun is a star,
Solar system consists of 8 planets namely- Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.
| Inner planets | Mercury, Venus, Earth and Mars |
|---|---|
| Outer planet | Jupiter, Saturn, Uranus and Neptune |
| Brightest planet | Venus |
| Smallest planet | Mercury |
| Largest planet | Jupiter |
| Planet with rings | Saturn |
Hence, ‘Sun’ is odd among the given options.
In the following question, select the word which cannot be formed using the letters of the given word.
TRADITIONAL
RADON
RATION
NATIONAL
TRAIN
Correct answer
NATIONAL
Why this answer is correct
In word ‘NATIONAL’, there is two ‘N’. But we have only one ‘N’ in the give word ‘TRADITIONAL**’.**
Hence, the correct answer is ‘NATIONAL’.
In the following question, select the related number from the given alternatives.
142 : 15 : : 234 : ?
45
39
33
46
Correct answer
33
Why this answer is correct
The pattern followed is:
(1 × 4 × 2) + (1 + 4 + 2) = 15
Similarly,
(2 × 3 × 4) + (2 + 3 + 4) = 33
Hence, 33 is the correct answer.
In the following question, select the number which can be placed at the sign of question mark (?) form the given alternatives.
16
36
25
49
Correct answer
49
Why this answer is correct
The following logic has applied:
Opposite of 1 is written as (1 + 1)2 = 22 = 4,
Opposite of 2 is written as (2 + 1)2 = 32 = 9,
Opposite of 3 is written as (3 + 1)2 = 42 = 16,
Opposite of 6 is written as (6 + 1)2 = 72 = 49
Hence, the correct answer is 49.
If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?
Correct answer
Why this answer is correct
The mirror image will be,
Hence, option 1 is the correct answer.
In the given figure, which Roman numeral represents round table which are not stones?
IV
V
VI
I
Correct answer
V
Why this answer is correct
We have to choose intersection of Round and Table which is outside of Stone.
Hence, “V” is the correct answer.
In the following question, select the odd word from the given alternatives.
Eagle
Crow
Pigeon
Ostrich
Correct answer
Ostrich
Why this answer is correct
Eagle, crow, pigeon are birds with ability to fly.
While,
Ostrich is a bird which cannot fly.
Hence, ‘Ostrich’ is odd among given options.
If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?
Correct answer
Why this answer is correct
The mirror image will be,
Hence, option 3 is the correct answer.
If 436 = 3, 783 = 8 and 654 = 5, then 896 = ?
5
8
7
6
Correct answer
6
Why this answer is correct
The pattern followed is:
436 → 4 + 3 + 6 = 13 → 1 × 3 = 3
783 → 7 + 8 + 3 = 18 → 1 × 8 = 8
654 → 6 + 5 + 4 = 15 → 1 × 5 = 5
Similarly,
896 → 8 + 9 + 6 = 23 → 2 × 3 = 6
Hence, ‘6’ is the correct answer.
Note: This question was given incorrectly in the actual paper, we have made it correct.
Identify the diagram that best represents the relationship among the given classes. Fruits, Mango, Ripe
Correct answer
Why this answer is correct
All mango is fruit.
As some fruit can be ripe and some not.
Hence, option 2 is the correct answer.
In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some cup are hot.
II. All hot are tea.
Conclusions:
I. Some tea are cup.
II. All cups are tea.
Only conclusion (I) follows
Only conclusion (II) follows
Both conclusions follow
Neither conclusion (I) nor conclusion (II) follows
Correct answer
Only conclusion (I) follows
Why this answer is correct
Drawing least possible diagram:
I. Some tea is cup → True
II. All cups are tea → False (This is possible but not definite)
Hence, the correct answer is ‘Only conclusion (I) follows’.
In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. All big are small.
II. Some small are tall.
III. No tall is white.
Conclusions:
I. Some big are white.
II. Some big are not white.
III. Some small are not white.
Only conclusion (I) and (II) follow
Only conclusion (II) and (III) follow
Only conclusion (III) follows
None conclusion follows
Correct answer
Only conclusion (III) follows
Why this answer is correct
I. Some big are white → False (Possible but not definite)
II. Some big are not white → False (Possible but not definite)
III. Some small are not white → True ( As some Tall are Small and no tall is white)
Hence, the correct answer is ‘Only conclusion (III) follows’.
In a certain code language, "pink" is written as "green", "green" is written as "yellow", "yellow" is written as "red", "red" is written as "white" and "white" is written as "indigo", then in the same code language what is the colour of blood?
White
Red
Green
Yellow
Correct answer
White
Why this answer is correct
The colour of blood is red. And red is written as ‘white’.
Hence, the correct answer is ‘White’.
In the following question, correct the equation by interchanging two signs.
18 ÷ 3 + 9 – 6 × 3 = 15
– and ×
÷ and –
Correct answer
Why this answer is correct
Expression: 18 ÷ 3 + 9 – 6 × 3
After interchanging the signs:
18 ÷ 3 + 9 × 6 –3
= 6 + 9 × 6 –3
= 6 + 54 –3
= 60 – 3
= 57 ≠ 15
2) + and –
18 ÷ 3 – 9 + 6 × 3
=6 – 9 + 6 × 3
= 6 – 9 + 18
= 24 – 9
= 15
18 – 3 + 9 ÷ 6 × 3
= 18 – 3 + 1.5 × 3
= 18 – 3 + 4.5
= 22.5 – 3
= 19.5 ≠ 15
18 + 3 ÷ 9 – 6 × 3
= 18 + 0.333 – 6 × 3
= 18 + 0.333 – 18
= 0.333
= 0.333 ≠ 15
Hence, the correct answer is (+ and –).
In the following question, select the related letters from the given alternatives.
N : R : : V : ?
Z
A
Y
B
Correct answer
Z
Why this answer is correct
The pattern followed is:
N + 4 = R
Similarly,
V + 4 = Z
Hence, Z is the correct answer.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
MSK, GUM, AWJ, UYL, ?
OAI
NPZ
MBJ
OCN
Correct answer
OAI
Why this answer is correct
The pattern followed is:
Hence, ‘OAI’ is the correct answer.
In the given figure, how many thin are either player or young but not both?
22
39
31
25
Correct answer
31
Why this answer is correct
Thin who are either player or young but not both:
Thin who are young + thin who are player = 14 + 17 = 31
Hence, ‘31’ is the correct answer.
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘E’ can be represented by 10, 22, etc, and ‘O’ can be represented by 55, 98, etc. Similarly, you have to identify the set for the word ‘PROBE’.
| Matrix - I | |||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |
| 0 | P | V | R | E | M |
| 1 | E | M | P | V | R |
| 2 | V | R | E | M | P |
| 3 | M | P | V | R | E |
| 4 | R | E | M | P | V |
| Matrix - II | |||||
|---|---|---|---|---|---|
| 5 | 6 | 7 | 8 | 9 | |
| 5 | O | A | B | T | J |
| 6 | T | J | O | A | B |
| 7 | A | B | T | J | O |
| 8 | J | O | A | B | T |
| 9 | B | J | T | O | A |
00, 33, 86, 95, 04
43, 40, 55, 88, 34
31, 02, 67, 56, 04
24, 21,12, 96, 00
Correct answer
43, 40, 55, 88, 34
Why this answer is correct
00, 33, 86, 95, 04 → P R O B M
43, 40, 55, 88, 34 → P R O B E
31, 02, 67, 56, 04 → P R O A M
24, 21,12, 96, 00 → P R P J P
Hence, ‘43, 40, 55, 88, 34’ is the correct answer.
If 32 + 21 = 2809 and 27 + 15 = 1764, then 31 + 13 = ?
1444
2116
1936
2304
Correct answer
1936
Why this answer is correct
The following logic is applied:
First we add the terms and then square of that sum is the answer.
32 + 21 = 53 → 532 = 2809 and 27 + 15 = 42 → 422 = 1764
In a similar way,
31 + 13 = 44 → 442 = 1936
Hence, the correct answer is 1936.
In a row of boys, Aman is 12th from top and Rajul is 18th from bottom. If they interchange their places, then Aman becomes 42nd from top. How many boys are there in the row?
62
60
58
59
Correct answer
59
Why this answer is correct
According to given information:
After interchanging the position,
Rajul is 42nd from top so,
Total boys in the row = 42 + 17 = 59
Hence, ‘59’ is the correct answer.
In the following question, select the missing number from the given series.
1065, 850, 726, 663, 637, ?
631
598
630
624
Correct answer
630
Why this answer is correct
The pattern followed is:
Hence, ‘630’ is the correct answer.
Two position of a cube are shown below. What will come opposite to face containing ‘
’?
Correct answer
Why this answer is correct
By observing We can easily eliminate option 2 and option 3.
Option 4 cannot be the opposite as,
,
, and
are adjacent to each other.
Hence, option 1 is the correct answer.
How many triangles are there in the given figure?
14
19
20
15
Correct answer
19
Why this answer is correct
Triangles in the given figure: AGF, AFE, AGE, AGH, AHI, AHB, AIB, AEB, AGI, AGB, GHF, GIE, BEI, BED, BDC, BEC, BGD, BCG, EDJ, BEJ
Hence, the correct answer is 19.
Arrange the given words in the sequence in which they occur in the dictionary.
21453
12435
12453
21435
Correct answer
21453
Why this answer is correct
The dictionary order of given words is,
National → Nature → Nice → Niggle → Nurture
Hence, ‘21453’ is the correct answer.
In the following question, select the odd letters from the given alternatives.
QS
WY
HK
LN
Correct answer
HK
Why this answer is correct
The pattern followed is:
Q + 2 = S
W + 2 = Y
H + 3 = K
L + 2 = N
Hence, ‘HK’ is odd among given options.
In the following question, select the odd letters from the given alternatives.
FJEK
UXTV
IMHN
PTOU
Correct answer
UXTV
Why this answer is correct
The pattern followed is:
Hence, ‘UXTV’ is the odd among given options.
In the following question, select the odd number pair from the given alternatives.
8 – 49
17 – 256
14 – 169
15 – 225
Correct answer
15 – 225
Why this answer is correct
Option 1 → 8 - 72
Option 2 → 17 - 162
Option 3 → 14 - 132
Option 4 → 15 - 152
Hence, ’15 - 225’ is odd among given.
The ratio of present ages of Raman and Salman is 4 : 5. After 5 years the ratio of ages of Salman and Karan will be 5 : 4. What is the difference (in years) in present age of Raman and Karan?
1
4
2
3
Correct answer
1
Why this answer is correct
Let,
Raman = x
Salman = y
Karan = z
According to given information:
\(\frac{x}{y} = \frac{4}{5} \to y = ;\frac{{5x}}{4}\)
According to second condition:
\(\frac{{y + 5}}{{z + 5}} = ;\frac{5}{4}\)
\(4y + 20 = 5z + 25\)
Putting value of y,
\(4 \times \frac{{5;x}}{4} - 5z = 5\)
\(x - z = 1\)
Hence, ‘1’ is the correct answer.
Which answer figure will complete the pattern in the question figure?
Correct answer
Why this answer is correct
Completing the pattern,
Hence, option 4 is the correct answer.
From the given answer figures, select the one in which the question figure is hidden/embedded.
Correct answer
Why this answer is correct
Hence, option 4 is the correct answer.
In the following question, select the related word pair from the given alternatives.
Businessman : Profit : : ? : ?
Doctor : Patient
Worker : Wage
Police : Criminal
Court : Judge
Correct answer
Worker : Wage
Why this answer is correct
Businessman earns profit from his work.
Similarly,
Worker earns wage from his work.
Hence, ‘Worker: Wage’ is the correct answer.
In the following question, select the related number from the given alternatives.
42 : 14 : : 56 : ?
18
41
48
65
Correct answer
41
Why this answer is correct
The pattern followed is:
42 → (4 × 2) + (4 + 2) = 8 + 6 = 14
Similarly,
56 → (5 × 6) + (5 + 6) = 30 + 11 = 41
Hence, 41 is the correct answer.
What is the chemical symbol of 'Iron'?
Ir
Fe
F
In
Correct answer
Fe
Why this answer is correct
| Ir | Iridium |
|---|---|
| Fe | Iron |
| F | Fluorine |
| In | Indium |
Who is the recipient of Best Green Organisation Award 2017?
Katamati Iron Mine
Essel Mining and Industries Limited
Indraprastha Gas Limited
GMR Infra Limited
Correct answer
Katamati Iron Mine
Why this answer is correct
Best Green Organisation of the Year (2017) Award:
Besides nutrients, our body needs _____ and water.
Carbohydrates
Fats
Proteins
Dietary fibres
Correct answer
Dietary fibres
Why this answer is correct
Key Points
Our body needs dietary fibre because:
Additional Information
Carbohydrates:
Protein:
Fat/Lipid:
Which among the following comes under secondary sector of Indian Economy?
Sugar Industry
Fishing
Insurance
Transport of goods
Correct answer
Sugar Industry
Why this answer is correct
| Sugar Industry | Secondary sector |
|---|---|
| Fishing | Primary sector |
| Insurance | Tertiary sector |
| Transport of goods | Tertiary sector |
Who among the following proclaims Financial Emergency in India?
Prime Minister of India
President of India
Judge of Supreme court
Judge of the High court
Correct answer
President of India
Why this answer is correct
The correct answer is President of India
Key Points
Chicken Pox is caused by which micro-organism?
Bacteria
Fungus
Protozoa
Virus
Correct answer
Virus
Why this answer is correct
Chicken Pox is caused by virus Varicella zoster
| Micro-organisms | Diseases |
|---|---|
| Bacteria | Cholera, Typhoid |
| Fungus | Aspergillosis, Fungal Eye Infections |
| Protozoa | Diarrhoea, Malaria |
| Virus | Chicken Pox, Hepatitis B, measles |
What is the name of Government of India sponsored scheme to provide subsidized food to the poorest of the poor families?
SAMPADA
SAMADHAN
Antyodaya Anna Yojana
Deen Dayal Yojana
Correct answer
Antyodaya Anna Yojana
Why this answer is correct
| Govt. of India Scheme | Aim |
|---|---|
| Antyodaya Anna Yojana | to provide subsidized food to the poorest of the poor families |
| SAMADHAN | A new strategy against the Maoists |
| SAMPADA | to supplement agriculture, modernize processing and decrease agricultural waste |
| Deen Dayal Upadhyaya Gram Jyoti Yojana | to provide continuous power supply to rural India |
In which year Salt Satyagraha was initiated?
1927
1930
1932
1942
Correct answer
1930
Why this answer is correct
The correct answer is 1930.
Key Points
________ sector is characterised by small and scattered units which are largely outside the control of the government.
Unorganised
Organised
Disguised
Seasonal
Correct answer
Unorganised
Why this answer is correct
Unorganised Sector is characterised by small and scattered units which are largely outside control of the government.
Based on the employment conditions, sectors of Indian economy is further classified into:
| Organised Sector | - incorporated with the appropriate authority or government - follow its rules and regulations - involves large-scale operations |
|---|---|
| Unorganised Sector | - not incorporated with the government - Doesn’t requires to follow any rules set up by government - involves small-scale operations |
When was 'Project Elephant' launched in India?
1990
1992
1994
1996
Correct answer
1992
Why this answer is correct
Project Elephant:
by states for their free-ranging populations of wild Asian Elephants
Who appoints the chairman of Union Public Service Commission?
Prime Minister of India
President of India
Judge of Supreme Court
Judge of High Court
Correct answer
President of India
Why this answer is correct
Swang is a famous ________ form.
Dance
Music
Painting
Embroidery
Correct answer
Dance
Why this answer is correct
Swang:
National Waterway-2 is on which of the following water system?
West Coast Canal
River Brahmaputra
Ganga-Bhagirathi-Hoogli river
Sundarbans waterways
Correct answer
River Brahmaputra
Why this answer is correct
National Waterway 2 (NW-2):
Who decides Bank Rate in India?
Finance Minister of India
President of India
Reserve Bank of India
State Bank of India
Correct answer
Reserve Bank of India
Why this answer is correct
Bank Rate:
Which of the following is an abiotic component of environment?
Green plants
Non-green plants
Decomposers
Gravity
Correct answer
Gravity
Why this answer is correct
Biotic Component:
Abiotic Component:
What is the current minimum saving deposit rate in India?
6.00 %per annum
6.25% per annum
4.00% per annum
4.5% per annum
Correct answer
4.00% per annum
Why this answer is correct
Siraj-Ud-Daulah renamed which city as Alinagar?
Calcutta
Agra
Ferozpur
Fatehpur
Correct answer
Calcutta
Why this answer is correct
Banaras is located on the banks of which river?
Ganga
Yamuna
Saraswati
Narmada
Correct answer
Ganga
Why this answer is correct
| River | Cities Located Nearby |
|---|---|
| Ganga | Haridwar, Banaras, Patna, Allahabad, Kolkata etc |
| Yamuna | Delhi, Allahabad, Agra, Mathura etc |
| Narmada | Jabalpur |
d
Who is the author of the book 'Rekha – The Untold Story'?
Anand Neelakanthan
Yasser Usman
Rabi Thapa
Rishi Kapoor
Correct answer
Yasser Usman
Why this answer is correct
Rekha – The Untold Story:
What is the height of the goal post in the game of Netball?
10 ft
6 ft
12 ft
15 ft
Correct answer
10 ft
Why this answer is correct
In the game of Netball;
The protocol used for sending an email is _____.
HTTP
FTP
POP-3
SMTP
Correct answer
SMTP
Why this answer is correct
| PROTOCOLS | USED FOR |
|---|---|
| HTTP | to transfer data over the web |
| FTP | for the transfer of computer files between a client and server on a computer network |
| POP-3 | for retrieving emails |
| SMTP | for sending an email |
Fundamental duties are given in which part of Indian constitution?
Part I
Part II
Part III
Part IV A
Correct answer
Part IV A
Why this answer is correct
| Part IV A | It states about the fundamental duties of the Indian citizens |
|---|
What is Educated unemployment?
Kind of unemployment generally found in urban areas
Kind of unemployment when people are not able to find jobs during some months of the year
Kind of unemployment generally found in rural areas
None of these
Correct answer
Kind of unemployment generally found in urban areas
Why this answer is correct
Educated unemployment:
Washing soda is chemically called as ________.
Sodium carbonate
Sodium chloride
Sodium hydroxide
Potassium nitrate
Correct answer
Sodium carbonate
Why this answer is correct
Washing Soda:
How many schedules are there in Indian constitution?
18
20
12
14
Correct answer
12
Why this answer is correct
At present, the Indian Constitution has:
Martial law is _____.
Sudden overthrow of a government illegally
A system of rules that takes effect when a military authority takes control of the normal administration of justice
The territory under the immediate political control of another state
None of these
Correct answer
A system of rules that takes effect when a military authority takes control of the normal administration of justice
Why this answer is correct
Martial law:
Which of the following is not an ocean current?
Kuroshio
Brazillian
Gulf-Stream
Jet-Stream
Correct answer
Jet-Stream
Why this answer is correct
Jet-Streams are fast flowing, narrow, meandering air currents in the atmospheres of some planets (including Earth)
| Kuroshio | Ocean Current |
|---|---|
| Brazillian | Ocean Current |
| Gulf-Stream | Ocean Current |
| Jet-Stream | Air Current |
During Lunar eclipse, which of the following is at the center?
Earth
Moon
Sun
Any other planet
Correct answer
Earth
Why this answer is correct
| Lunar Eclipse | Earth is between sun and moon | Blocks sunlight going from Sun to Moon |
|---|---|---|
| Solar Eclipse | Moon is between Sun and Earth | Blocks sunlight going from Sun to Earth |
Sounds of frequencies below 20 Hz are called _____.
Infrasonic sound
Ultrasonic sound
Intrasonic sound
Reflected sound
Correct answer
Infrasonic sound
Why this answer is correct
“Ultrasonic Sound”
________ is an institutional mechanism to accommodate two sets of polities-one at the regional level and the other at the national level.
Feudalism
Democracy
Federalism
Aristocracy
Correct answer
Federalism
Why this answer is correct
Federalism is a style of national governance which combines a general government (the central or 'federal' government) with regional governments (state or territorial type of govt)
Which city is not among the three Indian cities which will receive a grant of 3.5 million euros from the European Union and France to curb emissions?
Nagpur
Kochi
Ahmedabad
Haridwar
Correct answer
Haridwar
Why this answer is correct
Who invented the safety elevator?
Ray Tomlinson
Elisha Otis
Dr. Robert Jarvik
Joseph Henry
Correct answer
Elisha Otis
Why this answer is correct
| Inventor | Invented | Nationality |
|---|---|---|
| Ray Tomlinson | American | |
| Elisha Otis | Safety elevator | American |
| Dr. Robert Jarvik | Artificial Heart | American |
| Joseph Henry | Electric doorbell | American |
When did Sri Lanka gain its independence?
4 February 1948
16 March 1962
26 March 1972
15 February 1938
Correct answer
4 February 1948
Why this answer is correct
Ceylon was granted independence as the Dominion of Ceylon on February 4, 1948
Match the following
| Column-A | Column-B |
|---|---|
| 1. Input device | a. Safari |
| 2. Output device | b. Scanner |
| 3. Browser | c. Plotter |
1-c, 2-a, 3-b
1-b, 2-c, 3-a
1-a, 2-c, 3-b
1-c, 2-b, 3-a
Correct answer
1-b, 2-c, 3-a
Why this answer is correct
| Safari | Browser | developed by company “Apple” to surf the Internet |
|---|---|---|
| Scanner | Input device | is a device that optically scans images, printed text, handwriting or an object and converts it to a digital image |
| Plotter | Output device | a computer printer for printing vector graphics |
The buccal cavity is a component of which organ system?
Digestive system
Respiratory system
Circulatory system
Reproductive system
Correct answer
Digestive system
Why this answer is correct
Buccal cavity:
Which of the following is a water-borne disease?
Malaria
Typhoid
Measles
Chickenpox
Correct answer
Typhoid
Why this answer is correct
| Malaria | Transmitted through the bite of an infected Anopheles mosquito |
|---|---|
| Typhoid | Water-borne disease |
| Measles | Spreads to others through coughing and sneezing |
| Chickenpox | Transmits by directly touching the blisters, saliva or mucus of an infected person |
Select the correct pair/pairs:
| Pollutant | Industry |
|---|---|
| I. Bleaching liquor | Paper and pulp industry |
| II. Cellulose fibers | Pharmaceuticals industry |
| III. Drugs and antibiotics | Mining industry |
Only I
Only II
Only III
Both I and II
Correct answer
Only I
Why this answer is correct
| Pollutant | Industry |
|---|---|
| I. Bleaching liquor | Paper and pulp industry |
| II. Cellulose fibres | Textile industry |
| III. Drugs and antibiotics | Pharmaceuticals industry |
In which form of government the rulers are elected by the people?
Autocratic
Democratic
Martial law
Aristocratic
Correct answer
Democratic
Why this answer is correct
| Autocratic | - is a system of government in which supreme power (social and political) is concentrated in the hands of one person - Not elected by the people |
|---|---|
| Democratic | - In this form, rulers are elected by the people through elections |
| Martial law | - is the imposition of direct military control of normal civilian functions of government, especially in response to a temporary emergency (such as invasion or major disaster) |
| Aristocratic | - is a form of government that places strength in the hands of a small, privileged ruling class - hereditary succession is its primary philosophy and there is no role of people in selecting the ruler |
How are 'Cations' formed?
Addition of electron
Removal of electron
Addition of proton
Removal of proton
Correct answer
Removal of electron
Why this answer is correct
| Cation | - Positively charged ion - attracted to the cathode in electrolysis | Formed by removal of an electron |
|---|---|---|
| Anion | - Negatively charged ion - attracted to the anode in electrolysis | Formed by addition of an electron |
Which of the following is/are plant disease:
I. Citrus Canker
II. Hepatitis B
III. Cholera
Only I
Only II
Only I and III
Both I and II
Correct answer
Only I
Why this answer is correct
Citrus canker is a disease affecting Citrus species caused by the bacterium Xanthomonas axonopodis. Infection causes spots on the leaves, stems, and fruit of citrus trees, including lime, oranges, and grapefruit
| Citrus Canker | Plant Disease | Caused by Bacteria |
|---|---|---|
| Hepatitis B | Animal Disease (liver) | Caused by Virus |
| Cholera | Animal Disease | Caused by Bacteria (Vibrio Cholerae) |
Who is also known by the name of 'Tiger of Mysore'?
Haidar Ali
Tipu Sultan
Yaduraya Wodeyar
Krishna Devaraya
Correct answer
Tipu Sultan
Why this answer is correct
Tipu Sultan was also known as “tiger of Mysore” as he was well known for his courage, self-respect and patriotism that made him to be counted among the line of great freedom fighters who rose their voice, revolt or opposition either armed or unarmed against the British.
Atomic Number is denoted by which alphabet?
A
N
Z
E
Correct answer
Z
Why this answer is correct
Atomic Number:
Which type of mirror is used by dentists to see large images of teeth?
Concave mirror
Convex mirror
Plane mirror
Cylindrical mirror
Correct answer
Concave mirror
Why this answer is correct
The correct answer is Concave mirror.
Key Points
Additional Information
| Mirror | Images |
|---|---|
| Concave mirror | - real inverted image whose size depends on screen placement - if the real image is farther than the object is from the mirror, then the image is larger |
| Convex mirror | upright virtual image but will appear smaller |
| Plane mirror | upright virtual image of the object with the same size |
So, the dentists use “Concave Mirror” to see larger images of teeth.
Who defeated Humayun in the battle of Chausa?
Muhammad Adil Shah
Firoz Shah Suri
Sikandar Shah Suri
Sher Shah Suri
Correct answer
Sher Shah Suri
Why this answer is correct
Battle of Chausa:
between the Mughal emperor, Humayun, and the Afghan, Sher Shah Suri
fought on 26 June 1539 at Chausa (near Buxar in modern-day Bihar, India)
Sher Shah was victorious and crowned himself “Farīd al-Dīn Shēr Shah”
Cellulose is an example of which kind of nutrient?
Fat
Carbohydrate
Protein
Vitamin
Correct answer
Carbohydrate
Why this answer is correct
Cellulose:
When resistors are connected in series, then net resistance _____.
Increases
Decreases
Remains same
None of these
Correct answer
Increases
Why this answer is correct
The correct answer is Increases.
Key Points
What is measured by Ammeter?
Voltage
Electric Current
Resistance
Conductance
Correct answer
Electric Current
Why this answer is correct
| Voltage | Measured by Voltmeter |
|---|---|
| Electric Current | Measured by Ammeter |
| Resistance | Measured by (analog /digital) multi-meter or ohmmeter |
| Conductance | Measured by an electrical conductivity meter |
'Amar Shonar Bangla' the national anthem of Bangladesh was composed by whom?
Rabindranath Tagore
Sarojini Naidu
Surendranath Banerjee
Anand Mohan Bose
Correct answer
Rabindranath Tagore
Why this answer is correct
Amar Shonar Bangla the national anthem of “Bangladesh” is written by Rabindranath Tagore in1905.
'Protection of life and personal liberty' is mentioned in which article of Indian constitution?
Article 15
Article 30
Article 21
Article 350
Correct answer
Article 21
Why this answer is correct
| Article 15 | Prohibition of discrimination on grounds of religion, race, caste, sex or place of birth. |
|---|---|
| Article 30 | The right of minorities to establish and administer educational institutions |
| Article 21 | Protection of life and personal liberty |
| Article 350 | Right to use any language in representations for redress of grievances |
Which among the following mountain range is located in Russia?
Rocky
Andes
Himalayas
Ural
Correct answer
Ural
Why this answer is correct
| Mountain Range | Located In |
|---|---|
| Rocky | North America |
| Andes | South America |
| Himalayas | Nepal |
| Ural | Russia |
If interest being compound annually then what sum will amount to Rs. 2508.8 in 2 years at the rate of 12% per annum at compound interest?
2000
2200
1800
2500
Correct answer
2000
Why this answer is correct
Let the sum be P.
Amount after t years, compounded annually.
A = P(1 + r/100)t
2508.8 = P(1 + 12/100)2
P × (56/50)2 = 2508.8
\({\rm{P;}} = \frac{{\left( {2508.8{\rm{;}} \times {\rm{;}}50{\rm{;}} \times {\rm{;}}50} \right)}}{{56{\rm{;}} \times {\rm{;}}56}}; = ;Rs.2000\)
What will be the remainder when 141 × 142 × 143 is divided by 6?
0
2
4
5
Correct answer
0
Why this answer is correct
The consecutive three numbers are always divisible by 6.
⇒ remainder = 0
alternative method:,
\(\frac{{141{\rm{;}} \times {\rm{;}}142{\rm{;}} \times {\rm{;}}143}}{6}{\rm{;}} = {\rm{;}}47{\rm{;}} \times {\rm{;}}71{\rm{;}} \times {\rm{;}}143\)
so remainder = 0
Side of the square base of a pyramid is 8 cm. The pyramid is cut in two parts by a plane parallel to its base such that heights of upper and lower parts are in ratio 1 : 3 respectively. What is the ratio of volume of lower and upper parts respectively?
27 : 1
63 : 1
64 : 1
26 : 1
Correct answer
63 : 1
Why this answer is correct
Let h be the height of the pyramid, measured from the center of the base to the apex of the pyramid
volume of a square based pyramid = a2(h/3) = 82(h/3) = 64h/3
where a is the length of a side of the base
Let s be the slant height of the pyramid, then
s = \(\sqrt {{h^2} + {{\left( {a/2} \right)}^2}} \) = \(\sqrt {{h^2} + {{\left( {8/2} \right)}^2}} \) = \(\sqrt {{h^2} + {{\left( 4 \right)}^2}} \) = \(\sqrt {{h^2} + 16} \)
Now the pyramid is cut in two parts by a plane parallel to its base such that height of upper and lower parts are in ratio 1 : 3
Slant height will also be divided in the ratio 1 : 3
So, let the slant height of the upper pyramid be s1, height will be h/4 and base be a1
s1 = \(\frac{{\sqrt {{h^2} + 16} }}{4}\)
So, base of the upper pyramid will be,
\({\left( {\frac{{\sqrt {{h^2} + ;;16} }}{4}} \right)^2}\) = (h/4)2 + (a1/2)2
On solving,
a1 = 2
Then, Volume of upper pyramid = \(\frac{{4{\rm{;x;}}\left( {{\rm{h}}/4} \right)}}{3}\) = h/3
Volume of frustum = volume of actual pyramid - volume of upper pyramid formed by cutting the actual pyramid
volume of frustum = 64h/3 - h/3 = 63h/3
So, the required ratio will be = 63 : 1
Population of a town increases by 12% every year. If the population of town will be 188160 after 2 years, then what is its present population?
150000
160000
155000
165000
Correct answer
150000
Why this answer is correct
Let the present population be x.
\( \Rightarrow x{\rm{;}} \times {\rm{;}}\frac{{112}}{{100}}{\rm{;}} \times {\rm{;}}\frac{{112}}{{100}}{\rm{;}} = {\rm{;}}188160\)
x = 150000
∴ Present population of the town is 150000
The distance between the centres of two circles of radius 9 cm and 6 cm is 17 cm. What is the length (in cm) of the transverse common tangent?
9
11
7
8
Correct answer
8
Why this answer is correct
Length of transverse common tangent = \(\sqrt {{d^2} - {{(R; + ;r)}^2}} ; = ;\sqrt {{{17}^2} - {{(9; + ;6)}^2}} ; = ;\sqrt {64} ; = ;8;cm\)
Direction: The given pie chart shows the stream wise distribution (in degrees) of the candidates who applied for an entrance exam. The total number of candidates who applied was 720000 and out of which 5400 have qualified the exam.
What is the average of the total candidates from Arts, Commerce and Non-medical?
216000
296000
260000
228000
Correct answer
228000
Why this answer is correct
Total candidates from Arts, Commerce, and Non-medical = \(\frac{{342}}{{360}} \times 720000 = 684000\)
Average = \(\frac{{684000}}{3}= 228000\)
If from medical and non-medical both, 1.3% candidates have qualified the exam, then how many candidates have qualified the exam from commerce and arts in total?
3452
3168
2088
3528
Correct answer
3528
Why this answer is correct
Total candidates from medical and non-medical = \(\frac{{72}}{{360}} \times 720000 =144000\)
Candidates qualified from medical and non-medical = 1.3% of 144000 = 1872
Candidates qualified from Commerce and Arts = 5400 – 1872 = 3528
There is a rectangular garden of 480 metre × 160 metre. A path of width 3 metre is build outside the garden. What is the area (in metre2) of the path?
3984
1892
2796
3876
Correct answer
3876
Why this answer is correct
Area of the path = (area of rectangle PQRS) – (area of rectangle ABCD)
= 486 × 166 – 480 × 160 = 80676 – 76800 = 3876 m2
A and B undertook a work for Rs 2200. A alone can do the work in 10 days and B alone can do the work in 12 days. If they work together, then what will be the difference (in Rs.) in the amount they receive?
350
250
200
300
Correct answer
200
Why this answer is correct
Calculation:
LCM of 10 and 12 = 60
⇒ Total units of work to be done = 60
A can do 6 units of work in 1 day.
B can do 5 units of work in 1 day.
Their working efficiency is in the ratio = 6: 5
Their earning will also be in the same ratio = 2200 x 6/11 : 2200 x 5/11
= 1200: 1000
Difference = 200
An article is sold at a profit of 50%. If the cost price is doubled and the selling price is halved, then what will be the new profit or loss percentage?
62.5 Loss
62.5 Profit
37.5 Loss
37.5 Profit
Correct answer
62.5 Loss
Why this answer is correct
Let CP = Rs. 100
⇒ SP = Rs. 150
According to question,
If CP = Rs. 200
And SP = Rs. 75
Loss = 200 – 75 = Rs. 125
∴ Loss% = \(\frac{{125}}{{200}}{\rm{;}} \times {\rm{;}}100{\rm{;}} = {\rm{;}}62.5{\rm{% }}\)
What is the respective ratio of the Arts candidates and Commerce candidates?
3 : 1
2 : 1
5 : 3
7 : 5
Correct answer
5 : 3
Why this answer is correct
Ratio of the arts and commerce candidate = \(\frac{{\frac{{180}}{{360}}; \times ;720000}}{{\frac{{108}}{{360}}; \times ;720000}} = \frac{{180}}{{108}} = \frac{5}{3}\)
Average weight of a class of boys is 24 kg. When a boy having weight 36 kg leaves the class and a new boy having weight 30 kg joins the class, then the average weight become 23.5 kg. How many boys are there in the class?
12
8
6
16
Correct answer
12
Why this answer is correct
Let the number of boys in the class be n.
Total sum of the weight = 24n
According to question,
\(\frac{{24n - 36; + ;30}}{n}; = ;23.5\)
24n – 6 = 23.5n
0.5n = 6
n = 12
∴ Number of boys in the class are 12.
Direction: The line chart given below shows the revenue of a company (in lac rupees) from year 2009 to 2016.
If from year 2007 to year 2009 the revenue has decreased by 20% each year, then what was the revenue (in lac Rs.) of the company in year 2007?
26.56
21.56
29.52
31.56
Correct answer
26.56
Why this answer is correct
Revenue in 2009 = 17 lac
Let revenue in 2007 was x.
According to question,
\(x; \times ;\frac{{80}}{{100}}; \times ;\frac{{80}}{{100}}; = ;17\)
x = 26.56 lac
∴ Revenue in 2007 was 26.56 lac.
In how many years from 2010 to 2016 the increase in the revenue is more than 20% of the previous year value?
3
4
5
6
Correct answer
4
Why this answer is correct
% increase in revenue in 2010 = \(\frac{{35 - 17}}{{17}}; \times ;100; = ;\frac{{18}}{{17}}; \times ;100; = ;105.8% \)
% increase in revenue in 2011 = \(\frac{{55 - 35}}{{35}}; \times ;100; = ;57.14%\)
% increase in revenue in 2012 = \(\frac{{58 - 55}}{{55}}; \times ;100; = ;5.45%\)
% increase in revenue in 2013 = \(\frac{{72 - 58}}{{58}}; \times ;100; = ;24.13%\)
% increase in revenue in 2014 is less than 20%
% increase in revenue in 2015 = \(\frac{{102 - 79}}{{79}}; \times ;100\) = 29.11%
% increase in revenue in 2016 is less than 20%.
∴ increase in the revenue is more than 20% of the previous year valueis occurring 4 times.
The average revenue of the company from 2013 to 2016 is how much percent more than the average revenue of the company from 2009 to 2012?
181.2
21.2
121.2
221.2
Correct answer
121.2
Why this answer is correct
Average revenue of company from 2013 to 2016 = \(\frac{{72; + ;79; + ;102; + ;112}}{4}; = ;91.25;lac\)
Average revenue of company from 2009 to 2012 = \(\frac{{17; + ;35; + ;55; + ;58}}{4}; = ;41.25;lac\)
% more than average revenue from 2009 to 2012 = \(\frac{{91.25 - 41.25}}{{41.25}}; \times ;100; = ;\frac{{50}}{{41.25}}; \times ;100; = ;121.2% \)
Which of the following successive discount is the best for the customer?
I. 25%, 25%
II. 10%, 40%
III. 20%, 30%
Only I
Only II
Only III
All are same
Correct answer
Only II
Why this answer is correct
Successive discount of x% and y% = \(x; + ;y - \frac{{xy}}{{100}}\)
Successive discount of 25% and 25% = \(25; + ;25 - \frac{{25{\rm{;}} \times {\rm{;}}25}}{{100}}{\rm{;}} = {\rm{;}}50 - 6.25{\rm{;}} = {\rm{;}}43.75{\rm{% }}\)
Successive discount of 10% and 40% = \(10; + ;40 - \frac{{10{\rm{;}} \times {\rm{;}}40}}{{100}}; = ;50 - 4; = ;46% \)
Successive discount of 20% and 30% = \(20; + ;30 - \frac{{20{\rm{;}} \times {\rm{;}}30}}{{100}}; = ;50 - 6; = ;44% \)
Hence, maximum discount = 46%
∴ Successive discount of 10% and 40% is the best for the customer.
The revenue in year 2013 is what percent of the revenue in year 2011?
30.9
137.2
130.9
45.9
Correct answer
130.9
Why this answer is correct
Revenue in 2013 = 72 lac
Revenue in 2011 = 55 lac
Let, Revenue in 2013 = x% of (Revenue in 2011)
⇒ 72 = x% of 55
\({\rm{x;}} = {\rm{;}}72{\rm{;}} \times {\rm{;}}\frac{{100}}{{55}}{\rm{;}} = {\rm{;}}130.9{\rm{% }}\)
24 women can complete a work in 45 days. Then in how many days the work would be completed by 18 women?
60
70
85
75
Correct answer
60
Why this answer is correct
Let D days be required to complete the work.
M1 × D1 = M2 × D2
24 × 45 = 18 × D
D = (24 × 45)/18 = 60
∴ Work is completed in 60 days.
If 20% of marked price is equal to 30% of cost price. If no discount is given, then what will be the profit percentage?
50
40
48
45
Correct answer
50
Why this answer is correct
20% of MP = 30% of CP
⇒ MP/CP = 3/2
Let, ratio = k
MP = 3k
CP = 2k
Profit = k
If no discount is given,
Profit% = \(\frac{k}{{2k}}{\rm{;}} \times {\rm{;}}100{\rm{;}} = {\rm{;}}50{\rm{% }}\)
If (3 + 2√5)2 = 29 + K√5, then what is the value of K?
12
6
29
39
Correct answer
12
Why this answer is correct
Method I: (3 + 2√5)2
= (32 + (2√5)2 + 2 × 3 × 2√5)
= 9 + 20 + 12√5 = 29 + 12√5
On comparing, 29 + 12√5 = 29 + K√5
we get,
K = 12
Alternate Method
29 + 12√5 = 29 + K√5
⇒ K√5 = 29 - 29 + 12√5
⇒ K√5 = 12√5
∴ K = 12
If \({x^2}; + ;\frac{1}{{25{x^2}}}; = ;\frac{8}{5}\) and x > 0, then what is the value of \({x^3}; + ;\frac{1}{{125{x^3}}}?\)
7√2
5√2
(7√2)/5
7√6
Correct answer
(7√2)/5
Why this answer is correct
\(\begin{array}{l} {x^2}; + ;\frac{1}{{25{x^2}}}; = ;\frac{8}{5}\ 5{x^2}; + ;\frac{1}{{5{x^2}}}; = ;8\ ; = ;{(\sqrt 5 x)^2}; + ;\frac{1}{{{{(\sqrt 5 x)}^2}}}; + ;2; = ;8; + ;2\ {\left( {\sqrt 5 x; + ;\frac{1}{{\sqrt 5 x}}} \right)^2}; = ;10\ \left( {\sqrt 5 x; + ;\frac{1}{{\sqrt 5 x}}} \right); = ;\sqrt {10} \ 5\sqrt 5 ({x^3}; + ;\frac{1}{{125{x^3}}}); = ;5\sqrt 5 {x^3}; + ;\frac{1}{{5\sqrt 5 {x^3}}}; \end{array}\)
If \(x; + ;\frac{1}{x}; = ;n\)
\({x^3}; + ;\frac{1}{{{x^{3;}}}}; = ;({n^3} - 3n)\)
\(\therefore 5\sqrt 5 ({x^3}; + ;\frac{1}{{125{x^3}}}); = ;5\sqrt 5 {x^3}; + ;\frac{1}{{5\sqrt 5 {x^3}}}; = ;[{\left( {\sqrt {10} } \right)^3} - 3; \times ;\sqrt {10} ); = ;10\sqrt {10} - 3\sqrt {10} ; = ;7\sqrt {10} \)
\(\Rightarrow {x^3}; + ;\frac{1}{{125{x^3}}}; = ;\frac{{7\sqrt {10} }}{{5\sqrt 5 }}; = ;\frac{{7\sqrt 2 }}{5}\)
If ab(a + b) = 1, then what is the value of \(\frac{1}{{{a^3}{b^3}}} - {a^3} - {b^3}?\)
-1
1
3
-3
Correct answer
3
Why this answer is correct
(a + b) = 1/ab
\(\frac{1}{{{a^3}{b^3}}} - {a^3} - {b^3}; = ;{(a; + ;b)^3} - ;{a^3} - {b^3}{a^3}; = ;{a^3}; + ;{b^3}; + ;3ab\left( {a; + ;b} \right) - {a^3} - ;{b^3};\)
= 3ab(a + b) = 3
The length of the direct common tangent of two circles of radius 8 cm and 3 cm is 12 cm. What is the distance (in cm) between the centres of the circles?
15
13
14
17
Correct answer
13
Why this answer is correct
Length of direct commom tangent = \(\sqrt {{d^2} - {{(R - r)}^2}} ; = ;\sqrt {{d^2} - {{(8 - 3)}^2}} ; = ;12\)
⇒ d2 – 25 = 144
d2 = 169
d = 13 cm
∴ Distance between the centres of the circle is 13 cm
Which of the following relation (s) is/are true?
I. 333 > 333
II. 333 > 333
III. 333 > 333
Only I and II
Only II and I
Only II
All I, II and III
Correct answer
All I, II and III
Why this answer is correct
Among given numbers 333, 333, 333.
Obviously, 333 is the largest and 333 is the smallest among all.
333 = 35937 lies in the middle.
The descending order of number is 333 > 333 > 333
Hence, All three relations are always true.
What is the simplified value of
\(3; + ;\sqrt 3 ; + ;\frac{1}{{3 - \sqrt 3 }}; + ;\frac{1}{{3; + ;\sqrt 3 }}?\)
2 + √3
2 - √3
4 - √3
4 + √3
Correct answer
4 + √3
Why this answer is correct
On rationalising,
\(\begin{array}{l} \frac{1}{{3 - \sqrt 3 }}; = ;\frac{{3; + ;\sqrt 3 }}{6}\ \frac{1}{{3; + ;\sqrt 3 }}; = ;\frac{{3 - ;\sqrt 3 }}{6} \end{array}\)
\(3; + ;\sqrt 3 ; + ;\frac{1}{{3 - \sqrt 3 }}; + ;\frac{1}{{3; + ;\sqrt 3 }}; = ;3; + ;\sqrt 3 ; + ;\frac{{3; + ;\sqrt 3 }}{6}; + ;\frac{{3 - \sqrt 3 }}{6}; = ;3; + ;\sqrt 3 ; + ;1; = ;4; + ;\sqrt 3 \)
A person goes to his office by scooter at the speed of 50 km/hr and reaches 10 minutes earlier. If he goes at the speed 40 km/hr, then he reaches 20 minutes late. What will be the speed (in km/hr) of the scooter to reach on time?
\(47\frac{4}{{13}}\)
\(46\frac{2}{{13}}\)
\(48\frac{2}{{13}}\)
\(47\frac{2}{{13}}\)
Correct answer
\(46\frac{2}{{13}}\)
Why this answer is correct
Let the actual time taken to reach the office = t
And, speed of scooter to reach the office on time be v.
Distance = speed
time
According to question,
50(t - 10) = 40(t + 20)
50t - 500 = 40t + 800
10t = 1300
t = 130 min
Distance travelled = \(50{\rm{;}} \times {\rm{;}}\frac{{130 - 10}}{{60}}{\rm{;}} = {\rm{;}}100{\rm{;km}}\)
\({\rm{v;}} = \frac{{100}}{{\frac{{130}}{{60}}}}; = ;\frac{{600}}{{13}}; = ;46\frac{2}{{13}};km/hr\)
∴ speed of scooter to reach the office on time is \(46\frac{2}{{13}};km/hr\)
In a mixture of 126 litre the ratio of water and milk is 2 : 5 respectively. How much water (in litre) must be added to make the ratio of water and milk as 2 : 3 respectively?
16
24
18
20
Correct answer
24
Why this answer is correct
Initial ratio of water and milk = 2 : 5
Let, ratio = k
Given that,
(2k + 5k) = 126 L
k = 18
⇒ Qunatity of water = 36 L
And, quantity of milk = 90 L
Since, we are adding water to the mixture, Quantity of milk in the mixture should not change.
Ratio of water and milk in the final mixture = 2 : 3
Let ratio = z
Given that,
3z = 90
z = 30
⇒ 2z = 60 = Quantity of water in the final mixture.
∴ Quantity of water added = 60 – 36 = 24 L
50 litres of mixture of alcohol and water is in the ratio of 1 : 4 respectively. If 10 litres of mixture is taken off and replaced with 10 litres of water. Then what is the new ratio of alcohol and water respectively?
1 : 4
2 : 11
1 : 5
4 : 21
Correct answer
4 : 21
Why this answer is correct
Given:
50 litres of mixture of alcohol and water is in the ratio of 1 : 4 respectively.
10 litres of mixture is taken off and replaced with 10 litres of water.
Calculation:
Ratio of alcohol and water = 1 : 4
Let, ratio = k
k + 4k = 50
⇒ k = 10
Quantity of alcohol and water = 10 L and 40 L
10 L of mixture is taken off, that also contain alcohol and water in the ratio 1 : 4
⇒ 2 L alcohol and 8 L water is taken off
On adding 10 L water to the mixture,
Quantity of alcohol = 10 - 2 = 8 L
Quantity of water = 40 - 8 + 10 = 42 L
Ratio = 8 : 42 = 4 : 21
The perimeter of base of cylinder is 20π cm. If the height of cylinder is 12 cm, then what will be its curved surface area (in cm2)?
220π
180π
250π
240π
Correct answer
240π
Why this answer is correct
Perimeter of base = 2πr = 20π
⇒ r = 10 cm
∴ Curved surface area = 2πrh = 2π × 10 × 12 = 240π
If \({x^{\frac{1}{6}}}; = ;{y^{\frac{2}{3}}}\), then relation between x and y is:
x = y2
x = y4
x4 = 4
x3 = y
Correct answer
x = y4
Why this answer is correct
\({x^{\frac{1}{6}}}; = ;{y^{\frac{2}{3}}}\)
Taking power of 6 on both side, we get,
x = (y2/3)6 = y4
⇒ x = y4
What is the simple interest (in Rs) on a principal sum of Rs 1440 for 3 years at the rate of 8% per annum?
345.6
230.4
367.8
312.2
Correct answer
345.6
Why this answer is correct
\({\rm{SI;}} = \frac{{P{\rm{;}} \times {\rm{;R;}} \times {\rm{;T}}}}{{100}}; = ;\frac{{1440{\rm{;}} \times {\rm{;}}8{\rm{;}} \times {\rm{;}}3}}{{100}}{\rm{;}} = {\rm{;Rs}}.{\rm{;}}345.6\)
PQR is a triangle in which PR = QR. Side PR is extended to S, such that QR = RS. If ∠QPR = 40°, then what is the value (in degrees) of ∠QSR?
45
50
55
41
Correct answer
50
Why this answer is correct
In ∆PQR,
PR = QR
⇒ ∠PQR = 40°
⇒ ∠QRS = ∠RPQ + ∠RQP = 40° + 40° = 80°
In ∆QRS,
QR = RS
⇒ ∠RQS = ∠QSR = x (say)
x + x + 80° = 180°
x = 50°
∴ ∠QSR = 50°
What percentage of the total candidates who applied for the exams have qualified it?
0.85
0.75
0.6
0.8
Correct answer
0.75
Why this answer is correct
The total number of candidates who applied = 720000
Number of candidates who have qualified the exam = 5400
% of candidates qualified the exam = \(\frac{{5400}}{{720000}} \times 100 = 0.75%\)
What is the value of \(\frac{{\cot x}}{{1 - \tan x}} + \frac{{\tan x}}{{1 - \cot x}}?\)
sin x cos x + 1
sec x cosec x + 1
tan x cot x + 1
sec2x cosec2 x + 1
Correct answer
sec x cosec x + 1
Why this answer is correct
\({{\cot x}}{{1 - \tan x}} + \frac{{\tan x}}{{1 - \cot x}} = \frac{{cosx}}{{\frac{{sinx}}{{1 - \frac{{sinx}}{{cosx}}}}}} + \frac{{sinx}}{{\frac{{cosx}}{{1 - \frac{{cosx}}{{sinx}}}}}} = \frac{{cosx}}{{\frac{{sinx}}{{\frac{{cosx - sinx}}{{cosx}}}}}} + \frac{{sinx}}{{\frac{{cosx}}{{\frac{{sinx - cosx}}{{sinx}}}}}}\)
\(= \frac{{co{s^2}x}}{{sinx\left( {cosx - sinx} \right)}} + \frac{{si{n^2}x}}{{cosx\left( {sinx - cosx} \right)}}\)
\(= \frac{{co{s^2}x}}{{sinx\left( {cosx - sinx} \right)}} - \frac{{si{n^2}x}}{{cosx\left( {cosx - sinx} \right)}}\)
\(= \frac{{co{s^3}x - si{n^3}x}}{{\left( {cosx - sinx} \right)sinx;cosx}} = \frac{{\left[ {\left( {cosx - sinx} \right)\left( {si{n^2}x +co{s^2}x; + ;sinx;cosx} \right)} \right]}}{{\left( {cosx - sinx} \right)\sin cosx}};\)
\(= \frac{{1 +sinx;cosx}}{{sinxcosx}}\)
\(= cosecx;secx + 1\)
The area of a rectangle is equal to the area of a square. If the area of the rectangle is 196 cm2, then what is the perimeter (in cm) of the square?
116
56
112
42
Correct answer
56
Why this answer is correct
Given:
Area of rectangle = Area of square
Area of rectangle = 196 cm2
Formula used:
Area of rectangle = L × B
Area of Square = (Side)2
Perimeter of square = 4 × Side
Calculation:
Area of rectangle = Area of square = 196 cm2
Let side length of square be a
Area = a2 = 196 cm2
⇒ a = 14 cm
Perimeter of square = 4a
⇒ (4 × 14) cm
⇒ 56 cm
∴ The perimeter of square is 56 cm
If \({y^4}; + ;\frac{1}{{{y^4}}}; = ;223;and;y > 1\), then find the value of \({y^2}; + ;\frac{1}{{{y^2}}}?\)
15
14
14.86
16
Correct answer
15
Why this answer is correct
\(\begin{array}{l} {y^4}; + ;\frac{1}{{{y^4}}}; + ;2; = ;223; + ;2\ {({y^2}; + ;\frac{1}{{{y^2}}})^2}; = ;223; + ;2; = ;225\ ({y^2}; + ;\frac{1}{{{y^2}}}); = ;15 \end{array}\)
If (c - d) = (c + d)/5 = (cd)/3 and c, d ≠ 0, then what is the value of cd?
1/2
3/2
5/2
5/4
Correct answer
3/2
Why this answer is correct
Let \(\left( {c - d} \right); = ;\frac{{c; + ;d}}{5}; = ;\frac{{cd}}{3}; = ;k\)
⇒ (c – d) = k
⇒ (c + d) = 5k
⇒ cd = 3k
(c + d)2 = (c – d)2 + 4cd
⇒ 25k2 = k2 + 3k × 4 = k2 + 12k
⇒ 24k2 – 12k = 0
⇒ 12k(2k – 1) = 0
k can’t be 0.
⇒ k = 1/2
∴ cd = 3k = 3/2
If 5 sin x = 4, then the numerical value of \(\left( {\frac{{\tan x - \cot x}}{{\sec x - \tan x}}} \right)\left( {\frac{{{{\cos }^4}x - {{\sin }^4}x}}{{2{{\cos }^2}x - 1}}} \right)?\)
\(\frac{3}{5}\)
\(\frac{5}{4}\)
\(\frac{7}{4}\)
\(\frac{9}{5}\)
Correct answer
\(\frac{7}{4}\)
Why this answer is correct
Sin x = 4/5
⇒ cos x = 3/5
\(\left( {\frac{{\tan x - \cot x}}{{\sec x - \tan x}}} \right)= \frac{{\left( {\frac{{sinx}}{{cosx}} - \frac{{cosx}}{{sinx}}} \right)}}{{\frac{1}{{cosx}} - \frac{{sinx}}{{cosx}}}} = \frac{{(si{n^2}x - co{s^2}x)}}{{\frac{{sinxcosx}}{{\frac{{1 - sinx}}{{cosx}}}}}} = \frac{{\left( {sinx - cosx} \right)\left( {sinx; + ;cosx} \right)}}{{sinx;\left( {1 - sinx} \right)}}\)
\(\frac{{{{\cos }^4}x - {{\sin }^4}x}}{{2{{\cos }^2}x - 1}} = \frac{{\left( {co{s^2}x - si{n^2}x} \right)(co{s^2}x; + ;si{n^2}x)}}{{cos2x}} = \frac{{cos2x}}{{cos2x}} = 1\)
[(cos2x – sin2x) = (2cos2x – 1) = cos 2x]
\(\left( {\frac{{\tan x - \cot x}}{{\sec x - \tan x}}} \right)\left( {\frac{{{{\cos }^4}x - {{\sin }^4}x}}{{2{{\cos }^2}x - 1}}} \right) = \frac{{\left( {sinx - cosx} \right)\left( {sinx; + ;cosx} \right)}}{{sinx;\left( {1 - sinx} \right)}} = \frac{{\left( {\frac{4}{5} - \frac{3}{5}} \right)\left( {\frac{4}{5}; + ;\frac{3}{5}} \right)}}{{\frac{4}{5}; \times ;\left( {1 - \frac{4}{5}} \right)}} = \frac{{\left( {\frac{1}{5}{\rm{;}} \times {\rm{;}}\frac{7}{5}} \right)}}{{\frac{4}{5}; \times ;\frac{1}{5}}}\)
\(; = ;\frac{7}{4}\)
If x = 5 + 2√6, then what is the value of \(\sqrt x ; + ;\frac{1}{{\sqrt x }}?\)
2√3
3√2
2√6
6√2
Correct answer
2√3
Why this answer is correct
\(x = 5 + 2\sqrt 6 = \left( {3 + 2 + 2{\rm{}} \times {\rm{}}\sqrt 3 {\rm{}} \times {\rm{}}\sqrt 2 } \right){\rm{}} = [{\left( {\sqrt 3 } \right)^2} + {\rm{}}{\left( {\sqrt 2 } \right)^2}{\rm{}} + {\rm{}}2{\rm{}} \times {\rm{}}\sqrt 3 {\rm{}} \times {\rm{}}\sqrt 2 = {\rm{}}{\left( {\sqrt 3 + {\rm{}}\sqrt 2 } \right)^2}\)
√x = (√3 + √2)
\(\begin{array}{l} \frac{1}{{\sqrt x }} = \frac{1}{{\sqrt 3 + \sqrt 2 }} = \sqrt 3 - \sqrt 2 \ \sqrt x + \frac{1}{{\sqrt x }} = \sqrt 3 + \sqrt 2 + \sqrt 3 - \sqrt 2 = 2\sqrt 3 \end{array}\)
ΔPQR is a right angled at Q. If PQ = 8 cm and PR = (QR + 2) cm. What is the value (in cm) of PR?
17
15
19
18
Correct answer
17
Why this answer is correct
Let QR = x
PR = x + 2
Applying Pythagoras theorem,
PR2 = PQ2 + QR2
(x + 2)2 = 64 + x2
x2 + 4 + 4x = 64 + x2
4x = 60
x = 15
PR = x + 2 = 17 cm
A 120 litres mixture of milk and water contains 40% milk. How much milk (in litres) must be added so that milk becomes 50%?
28
30
24
32
Correct answer
24
Why this answer is correct
GIVEN:
Quantity of Mixture = 120 litres
Percentage of milk in mixture = 40%
CALCULATION:
Quantity of milk in the mixture = 40% of 120 = 48 L
⇒ Qunatity of water in the mixture = 120 – 48 = 72 L
In the final mixture, quantity of milk is 50%
⇒ Quantity of milk = Quantity of water = 72 L
∴ Quantity of milk added = 72 – 48 = 24 L
Average of 7 consecutive odd numbers is 31. If the previous and next odd number to these 7 odd numbers are also included, then what will be the new average?
33
31
35
29
Correct answer
31
Why this answer is correct
Let 7 odd consecutive numbers are (n - 6), (n - 4), (n - 2), n, (n + 2), (n + 4), (n + 6)
Given that, Average = 31
Average = middle term = n = 31
If we add previous and next odd number to these 7 odd numbers, again middle term will be
n = 31
∴ New average = 31
What percentage of the total candidates belong the non-medical?
18%
8.33%
15%
14.28%
Correct answer
15%
Why this answer is correct
% of candidates belong to non-medical = \(\frac{{54}}{{360}} \times 100 =15%\)
By selling a pen for Rs 105 there is a loss of 30%. At what price (in Rs) the pen must be sold in order to gain 30%?
215
165
195
200
Correct answer
195
Why this answer is correct
Loss = 30%
⇒ SP = 70% of CP
⇒ 105 = 70% of CP
⇒ CP = Rs. 150
If profit = 30%
SP = 130% of CP = 1.3 × 150 = 195 Rs
Find the value of \(\frac{{\sqrt {cose{c^2}A - 1} }}{{\cot A; + ;\tan A}}?\)
sin2A
cos A sin A
cos2 A
sec A cosec A
Correct answer
cos2 A
Why this answer is correct
\(\sqrt {cose{c^2}A - 1} = \surd co{t^2}A = \cot A = \frac{{cosA}}{{sinA}}\)
\(cotA + tanA = \frac{{cosA}}{{sinA}} + \frac{{sinA}}{{cosA}} = \frac{{co{s^2}x + si{n^2}x}}{{sinAcosA}} = \frac{1}{{sinAcosA}}\)
\(\frac{{\sqrt {cose{c^2}A - 1} }}{{\cot A; + ;\tan A}} = \frac{{cosA}}{{\frac{{sinA}}{{\frac{1}{{sinAcosA}}}}}} = co{s^2}A\)
What is the value of sin 8θ + sin 6θ?
2 sin 7θ cos 7θ
2 sin 7θ cosθ
2 sin θ cos 7θ
2 sin 4θ cos 3θ
Correct answer
2 sin 7θ cosθ
Why this answer is correct
\(\begin{array}{l} sinA + sinB =2{\rm{sin;}}\frac{{A + B}}{2};{\rm{cos;}}\frac{{A - B}}{2};\ sin8\theta + sin6\theta = 2{\rm{sin;}}\frac{{8\theta +6\theta }}{2};{\rm{cos;}}\frac{{8\theta - 6\theta }}{2} =2sin7\theta ;cos\theta \end{array}\)
One third of a certain journey is covered at the speed of 40 km/hr, one fourth at the speed of 25 km/hr and the rest at the speed of 50 km/hr. what will be the average speed(in km/hr) for the whole journey?
37.5
33.5
33.33
38.33
Correct answer
37.5
Why this answer is correct
Calculation:
Let the total distance traveled be d.
Average speed = (total distance travelled)/(total time taken)
Given that,
d/3 is covered at 40 km/hr
d/4 is covered at 25 km/hr
And, d – (d/3 + d/4) = (d – 7d/12) = 5d/12 is covered at 50 km/hr
∴ Aveage speed = \(\frac{d}{{\frac{d}{{3{\rm{;}} \times {\rm{;}}40}}; + ;\frac{d}{{4{\rm{;}} \times {\rm{;}}25}}; + ;\frac{{5d}}{{12{\rm{;}} \times {\rm{;}}50}}}}; = ;\frac{d}{{\frac{{5d; + ;6d; + ;5d}}{{600}}}}; = ;\frac{{600}}{{16}}; = ;37.5\frac{{km}}{{hr}}\)
A cylinder having base radius equal to its height, right circular cone whose radius is equal to its height and a hemisphere are given. All of them have the same volumes. What will be the ratio of their respective radius?
\(\sqrt[3]{3}:1:\sqrt[3]{2}\)
\(1:\sqrt[3]{2}:\sqrt[3]{2}\)
\(\sqrt[3]{2}:\sqrt[3]{6}:\sqrt[3]{3}\)
\(\sqrt[3]{4}:\sqrt[3]{6}:\sqrt[2]{3}\)
Correct answer
\(\sqrt[3]{2}:\sqrt[3]{6}:\sqrt[3]{3}\)
Why this answer is correct
Let the radius of cylinder, cone and hemisphere be a, b and c respectively.
Given that,
\({\rm{\pi }}{{\rm{a}}^2}{\rm{;}} \times {\rm{;a;}}={\rm{;}}\frac{1}{3}{\rm{\pi }}{{\rm{b}}^2}{\rm{;}} \times {\rm{;b;}}={\rm{;}}\frac{2}{3}{\rm{\pi }}{{\rm{c}}^3}\)
3a3 = b3 = 2c3
\(\Rightarrow {\rm{;}}\sqrt[3]{3}a; = ;b; = ;\sqrt[3]{2}c\)
⇒ a : b : c = \(\frac{1}{{\sqrt[3]{3}}};:1;:\frac{1}{{\sqrt[3]{2}}}; = ;\sqrt[3]{2};:;\sqrt[3]{6};:;\sqrt[3]{3}\)
What is the value of \(\frac{{\sec \theta }}{{\tan \theta ; + ;\cot \theta }}?\)
cosθ
tanθ
sinθ
cotθ
Correct answer
sinθ
Why this answer is correct
\(\frac{{\sec \theta }}{{\tan \theta + \cot \theta }} = \frac{1}{{\frac{{Cos\theta }}{{\frac{{sin\theta }}{{cos\theta }} + \frac{{cos\theta }}{{sin\theta }}}}}} = \frac{1}{{\frac{{cos\theta }}{{\frac{{si{n^2}\theta +co{s^2}\theta }}{{sin\theta cos\theta }}}}}} = \frac{1}{{\frac{{cos\theta }}{{\frac{1}{{sin\theta cos\theta }}}}}} = sin\theta \)
In the given figure, O is the center of the circle, if ∠POR = 130°, then what is the value (in degree) of ∠S and ∠Q respectively.
65°, 115°
55°, 125°
60°, 120°
65°, 120°
Correct answer
65°, 115°
Why this answer is correct
Given that,
∠POR = 130°
⇒ ∠PSR = 65°
PQRS is a cyclic quadrilateral.
⇒ ∠Q + ∠S = 180°
∠Q + 65° = 180°
∠Q = 115°
∴ ∠S = 65° and ∠Q = 115°
Improve the bracketed part of the sentence.
You should visit Jaisalmer when you (had been to) Rajasthan.
should have gone to
were going to
go to
No improvement
Correct answer
go to
Why this answer is correct
The correct tense here should be simple present as the sentence talks about a future activity. Thus option 3 is the correct answer. The other options do not fit here.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
forecast
puerille
satellite
utterance
Correct answer
puerille
Why this answer is correct
The correct words are:
Forecast=> predict
Puerile=> childishly silly and immature.
Satellite
Utterance=> a spoken word, statement, or vocal sound.
Thus option 2 is the incorrectly spelt word.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
In the offing
in danger
appear soon
side by side
worrisome
Correct answer
appear soon
Why this answer is correct
The idiom ‘in offing’ means likely to happen or appear soon. Thus option 2 is the correct answer.
Improve the bracketed part of the sentence.
Why (did you not threw) the clothes away?
had you not threw
did you not throw
you did not thrown
No improvement
Correct answer
did you not throw
Why this answer is correct
The verb must always be in simple present tense when used with ‘did.’ Only option 2 fits here. The other options are grammatically incorrect.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
A pioneer of a reform movement
oubliette
apostle
spinster
mendicant
Correct answer
apostle
Why this answer is correct
The meanings of the words are:
Oubliette=> a secret dungeon with an opening only in the ceiling, as in certain old castles
Apostle=> a vigorous and pioneering advocate or supporter of a particular policy, idea, or cause.
Spinster=> a woman who is not married
Mendicant=> one who begs
Thus option 2 is the correct answer.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Regular physical activity provides numerous health benefits-form ______ bodies and ______ blood pressure to improve mental health and cognitive functioning. As the school ______ education programme promotes physical activity and can teach skills as well as form or change behaviour, it holds an important key to ______ health and well-being across the life span. To improve the fitness of students, we need to rethink the design and ______ of school-based physical education programme.
an important key to ______ health and well-being
curb
intensify
suppress
influence
Correct answer
influence
Why this answer is correct
The word ‘curb’ means ‘destroy’ and it does not fit here as no one wants to hamper health. It is not a thing to ‘intensify’ as well. ‘Intensify’ means ‘extend in degree.’ ‘Suppress’ means ‘forcibly put an end to’ and this too does not fit here. The word ‘influence’ means ‘to affect’ and conveys the meaning that the programmes affect health and well-being of people.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Wolf's in sheep clothing
hypocrite
wise person
foolish
quarrelsome person
Correct answer
hypocrite
Why this answer is correct
The idiom ‘wolf’s in sheep clothing’ means ‘someone who pretends.’ Thus ‘hypocrite’ is the correct answer.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
A verse letter
parasol
ballad
epistle
dirge
Correct answer
epistle
Why this answer is correct
The meanings of the words are:
Parasol=> a light umbrella used to give shade from the sun.
Ballad=> a poem or song narrating a story in short stanzas.
Epistle=>a letter
Dirge=> a lament for the dead, especially one forming part of a funeral rite
Thus option 3 is the correct answer.
A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given four alternatives.
The student community signifies bubbling youth. The irresistible youth is restless today, seeking recognition and understanding. Students are the hope of tomorrow and yet, student unrest is a global phenomenon of today. One has grown accustomed to strikes, boycott of examinations and classes, gheraos of vice chancellor and processions, demonstration and violence in which the students are involved. Student unrest has thus become a part of our lives. It is a disease of our times for which no effective antidote has been administered.Student unrest is universal and it is interesting to note that according to an opinion poll recorded in Fortune, an American magazine, forty percent of American students joined the universities with the idea of reforming the world. It is evident that the young blood flowing in the veins of student community is impatient to bring about radical change in the society. The students believe in a new order of things. They want to do away with the old systems and institutions, the conservatism and rigidity of the older generation which they consider decadent and archaic. The youthful student wants to break the taboos set by the society and does not believe in the values and morality of the older generation. A clash is inevitable in the circumstance which leads to a deadlock and the so-called generation-gap. The elders usually insist on having thing their way which leads to frustration and crisis among the students. They feel forsaken and visualize an utopian 'Brave New World'. For them the social, political, economic and educational systems are defective and inefficient. They feel sinned against and as if they were the target of injustice and the net result is that they 'rebel'. Rebelling, in their view, is the only (right), course open to them.
What can be the suitable title for the passage?
Student associated with bubbling youth
The resistible youth of today
The problem of student unrest
Students – Effective antidote to transform today's world
Correct answer
The problem of student unrest
Why this answer is correct
The passage is focused on the global phenomenon of student unrest. It talks about the consequences and the reasons of the problem. Thus option 3 is the correct answer.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
exemplary
translucent
achievement
gorgette
Correct answer
gorgette
Why this answer is correct
The meanings of the words are:
Exemplary=> serving as a desirable model; very good.
Translucent=> semi-transparent
Achievement=> attainment
Georgette=> a thin silk or crêpe dress material.
Thus option 4 is the incorrectly spelt word.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Nitin told Rohan that he ______ English fluently and was very happy.
can speak
could speak
could have spoken
would speak
Correct answer
could speak
Why this answer is correct
The sentence is constructed in simple past tense thus ‘could’, the past tense of ‘can’ should be used here. Thus option 2 is the correct answer.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
One who believes that everything is pre-destined
fatalist
astrologer
hypocrite
prodigal
Correct answer
fatalist
Why this answer is correct
The correct answer is 1 i.e. 'fatalist'.
Key Points
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.
Madhuri did not reply (1)/ when I asked her (2)/ why was she weeping. (3)/ No Error (4)
1
2
3
4
Correct answer
3
Why this answer is correct
The error lies in part 3 of the sentence as the structure has been incorrect. In statements the pronoun should be placed before the verb. Thus ‘she’ should be written before ‘was’. It should read as:’why she was weeping.’
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.
Roshni said that she prefers (1)/ a white shirt than coloured one (2)/ in formal meetings. (3)/ No Error (4)
1
2
3
4
Correct answer
2
Why this answer is correct
The error lies in part 2 of the sentence as the preposition ‘than’ is not used with ‘prefer’ and ‘to’ should be used with ‘prefers.’ The article ‘a’ should be used before the word ‘coloured.’ It should read as:’a white shirt than a coloured one.’
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
manoevre
commensurate
harassment
exaggerate
Correct answer
manoevre
Why this answer is correct
The meanings of the words are:
Manoeuvre=> a movement or series of moves requiring skill and care
Commensurate=> corresponding in size or degree; in proportion
Harassment=> aggressive pressure or intimidation.
Exaggerate=> represent (something) as being larger, better, or worse than it really is
Thus option 1 is the incorrectly spelt word
the school ______ education programme promotes
mental
emotional
physical
technical
Correct answer
physical
Why this answer is correct
The passage talks about physical health thus the kind of education programme should be ‘physical.’ The other words do not fit here as they are not relevant to the topic.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
embarrassment
efflorescence
grieveance
desiccate
Correct answer
grieveance
Why this answer is correct
The correct words are:
Embarrassment=> the feeling of being embarrassed
Efflorescence=> the production of a lot of art, especially of a high quality.
Grievance=> a real or imagined cause for complaint, especially unfair treatment.
Desiccate=> remove the moisture from (something), typically in order to preserve it.
Thus option 3 is the correct answer.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
commentery
moustache
belligerent
acquiescence
Correct answer
commentery
Why this answer is correct
The correct words are:
Commentary=> an expression of opinions or offering of explanations about an event or situation.
Moustache
Belligerent=> quarrelsome
Acquiescence=> the reluctant acceptance of something without protest.
Thus option 1 is the incorrectly spelt word.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
Person who gives written testimony for use in a law court
reticence
masochist
deponent
concubine
Correct answer
deponent
Why this answer is correct
The meanings of the words are:
Reticence=> reserve
Masochist=> a person who derives sexual gratification from their own pain or humiliation.
Deponent=> a person who makes a deposition or affidavit under oath.
Concubine=> (in polygamous societies) a woman who lives with a man but has lower status than his wife or wives.
Thus option 3 is the correct answer.
health benefits-form ______ bodies
leaner
skinny
static
unhealthier
Correct answer
leaner
Why this answer is correct
The word here must have a positive meaning as the sentence states that regular physical activity has benefits. Thus ‘leaner’ which means ‘slim’ is the correct answer. ‘Skinny’ means ‘very thin’ and cannot be used here. ‘Static’ means ‘stagnant’ and ‘unhealthier’ means ‘sick.’
According to the passage, which of the following is INCORRECT?
Student unrest is a global phenomenon.
Students are the hope of tomorrow.
Students believe in a new order of things.
Students believe in the values and morality of the older generation.
Correct answer
Students believe in the values and morality of the older generation.
Why this answer is correct
It is mentioned in the passage ‘The youthful student wants to break the taboos set by the society and does not believe in the values and morality of the older generation.’ Thus option 4 is the correct answer.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
They treated us not only to cocktails but also ______ dinner.
on
for
in
to
Correct answer
to
Why this answer is correct
Someone treats ‘to’ an item thus option 4 is the correct preposition. The other prepositions are incorrect here.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
The dinner ______ prepared yet when our guests arrived.
had not been
have not been
was not
is not
Correct answer
had not been
Why this answer is correct
The sentence is in past tense thus options 2 and 4 are eliminated first as they are in present tense.The word ‘yet’ makes option 3 eliminate as well. Option 1 is correct as past perfect tense fits here correctly. It is used to refer to a time earlier than before now.
Improve the bracketed part of the sentence.
Anshika (held) a party when she got her L.L.B. degree.
gave
promised
planned
No improvement
Correct answer
gave
Why this answer is correct
The word ‘gave’ means ‘throw a party.’ The sentence states that the person achieved something thus option 1 is correct here. The other words are not very apt in the context.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
A long case for carrying arrows.
legion
wreath
quiver
volley
Correct answer
quiver
Why this answer is correct
The meanings of the words are:
Legion=> a vast number of people or things.
Wreath=> an arrangement of flowers, leaves, or stems fastened in a ring and used for decoration or for laying on a grave.
Quiver=> a long narrow case for carrying arrows.
Volley=> a number of bullets, arrows, or other projectiles discharged at one time.
Thus option 3 is the correct answer.
What the students of today do away with?
Old systems and traditions
Rigidity of old generation
Conservatism
All of these
Correct answer
All of these
Why this answer is correct
The passage states that the students want to get rid of the old systems and ways and want to establish their own ways. All the options are mentioned in the passage. Thus option 4 is the correct answer.
What disease is being talked about in a passage?
Boycott of examination by students
Gheraos of vice chancellors
Strikes by students
Student unrest
Correct answer
Student unrest
Why this answer is correct
The rebelling attitude of the students is considered to be a disease. Thus student unrest is the disease being talked about in the passage.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Heads will roll
unconditionally surrendered
dismissed or forced to resign
born in a wealthy family
resorted to illegitimate practices
Correct answer
dismissed or forced to resign
Why this answer is correct
The idiom ‘heads will roll’ means ‘dismissed or forced to resign’. Thus option 2 is the correct answer.
Improve the bracketed part of the sentence.
Nisha took a longer time to read the proposal for she wanted to (go about it carefully).
go through it carefully
go about it casually
go through it hastily
No improvement
Correct answer
go through it carefully
Why this answer is correct
The correct phrase here should be ‘go through’ which means ‘read carefully.’ It justifies why the person took a longer time to read the proposal. The other options do not convey any meaning.
the design and ______ of school-based
decoration
delivery
formation
development
Correct answer
delivery
Why this answer is correct
The word ‘delivery’ fits here as ‘design’ and ‘development’ would be repetitive here. ‘Develop’ means ‘form and improve’. ‘Delivery’ means ‘providing or supplying’. The other words too do not fit here.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
How much money ______ since the death of your father?
you have wasted
did you waste
you wasted
have you wasted
Correct answer
have you wasted
Why this answer is correct
The sentence talks about an activity that is still going on so present perfect tense fits here. The correct structure is the usage of ‘have’ before the pronoun ‘you.’ Thus option 4 is the correct answer.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Pin-money
a person unsuited to the position he fills
to trouble others
bribery
allowance made to a lady for her expenses
Correct answer
allowance made to a lady for her expenses
Why this answer is correct
The idiom ‘pin-money’ means ‘allowance made to a lady for her expenses.’ Thus option 4 is the correct answer.
Why student unrest is considered as a global phenomenon of today?
Today's students seek much recognition.
They are the hope of tomorrow.
Students tend to run away from their responsibilities very often.
Students are being pampered a lot now-a-days.
Correct answer
They are the hope of tomorrow.
Why this answer is correct
It is mentioned in the passage ‘Students are the hope of tomorrow and yet, student unrest is a global phenomenon of today.’ Thus option 2 is the correct answer.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Sunita told me that she ______ go to Chennai next month.
would
shall
will
should
Correct answer
would
Why this answer is correct
The sentence is constructed in simple past tense and it talks about a past activity thus ‘would’, the past tense of ‘will’ should be used here. ‘Will’ is incorrect here as the person had said in the past that she was about to go to Chennai.
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.
Ashutosh is one of the players (1)/ who has been selected (2)/ for the T20 match. (3)/ No Error (4)
1
2
3
4
Correct answer
2
Why this answer is correct
The correct answer is: 2.
Key Points
Therefore, the correct answer is: Ashutosh is one of the players who have been selected for the T20 match.
Improve the bracketed part of the sentence.
Rohit asked Ankit (that why he was) unwilling to go with Suraj.
that why he had been
why was he
why he was
No improvement
Correct answer
why he was
Why this answer is correct
The error in the phrase is the usage of the word ‘that’. It is never used after the verb ‘asked.’ The structure of the sentence should be:’Rohit asked Ankit why he was unwilling to go with Suraj.’ The pronoun should come before the verb thus option 2 is incorrect. Option 3 is thus the correct answer.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
To cut the crackle
to stop talking and start
to be under one's subjugation
to foment trouble
to ridicule
Correct answer
to stop talking and start
Why this answer is correct
The idiom ‘to cut the crackle’ means ‘to stop talking and start’. Thus option 1 is the correct answer.
and ______ blood pressure to improve
higher
lower
measurable
significant
Correct answer
lower
Why this answer is correct
Blood pressure should be normal thus ‘lower’ fits better here than ‘higher.’ The other words cannot fit here. ‘Measurable’ means ‘that which can be measured’ and ‘significant’ means ‘notable.’ Thus option 2 is the correct answer.
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.
Ritesh could succeed (1)/ in catching the Frisbee before (2)/ it reaches the boundary line. (3)/ No Error (4)
1
2
3
4
Correct answer
3
Why this answer is correct
The error lies in part 3 of the sentence as the verb ‘reaches’ in simple present tense must be replaced with the verb ‘reached’ in simple past tense. The sentence talks about an incident that had taken place in the past so the verb should be ‘reached.’
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Passivity
distinct
interest
disregard
lucid
Correct answer
interest
Why this answer is correct
The word ‘passivity’ means ‘acceptance of what happens, without active response or resistance.’. The meanings of the words are:
Distinct=> recognizably different in nature from something else of a similar type
Interest=> the feeling of wanting to know or learn about something or someone.
Disregard=> pay no attention to; ignore.
Lucid=> clearly expressed and easy to understand, or (of a person) thinking or speaking clearly
Thus option 2 is the correct answer.
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Scrutable
Occult
Intelligible
Pliable
Transparent
Correct answer
Occult
Why this answer is correct
The correct answer is Occult.
Key Points
Thus option 1 is the correct antonym.
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Revoke
proclaim
cancel
violate
latent
Correct answer
proclaim
Why this answer is correct
The word ‘revoke’ means ‘officially cancel (a decree, decision, or promise)’. The meanings of the words are:
Proclaim=> declare
Violate=> break or fail to comply with (a rule or formal agreement)
Latent=> present but needing particular conditions to become active, obvious, or completely developed:
Thus option 1 is the correct answer.
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Slavish
docile
impede
assertive
servile
Correct answer
assertive
Why this answer is correct
The word ‘slavish’ means ‘obeying completely and having no original thoughts or ideas’. The meanings of the words are:
Docile=> quiet and easy to influence, persuade, or control
Impede=> to make it more difficult for something to happen or more difficult for someone to do something
Assertive=> having or showing a confident and forceful personality
Servile=> too eager to serve and please someone else in a way that shows you do not have much respect for yourself
Thus option 3 is the correct answer.
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Esoteric
obscure
abstruse
familiar
secret
Correct answer
familiar
Why this answer is correct
The word ‘esoteric’ means ‘difficult to understand’. The meanings of the words are:
Obscure=> difficult to understand
Abstruse=> difficult to understand
Familiar=> same
Secret=> private
Thus option 3 is the correct answer.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Frantic
coherent
violent
sluggish
ephemeral
Correct answer
violent
Why this answer is correct
The word ‘frantic’ means ‘conducted in a hurried, excited, and disorganized way’. The meanings of the words are:
Coherent=> (of an argument, theory, or policy) logical and consistent.
Violent=> using or involving physical force intended to hurt, damage, or kill someone or something.
Sluggish=> moving or operating more slowly than usua
Ephemeral=> short-lived
Thus option 2 is the correct answer.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Grisly
pleasing
unforgiving
gruesome
sincerity
Correct answer
gruesome
Why this answer is correct
The word ‘grisly’ means ‘causing horror or disgust.’. The meanings of the words are:
Pleasing=> satisfying or appealing.
Unforgiving=> not willing to forgive or excuse people's faults or wrongdoings
Gruesome=> horrendous or disgusting
Sincerity=> seriousness
Thus option 3 is the correct answer.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Efface
abolish
resurrect
oration
burden
Correct answer
abolish
Why this answer is correct
The word ‘efface’ means ‘make oneself appear insignificant or inconspicuous.’. The meanings of the words are:
Abolish=> to end an activity or custom officially
Resurrect=>revive or revitalize (something that is inactive, disused, or forgotten
Oration=> a formal speech, especially one given on a ceremonial occasion.
Burden=> something difficult or unpleasant that you have to deal with or worry about
Thus option 1 is the correct answer.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Apparent
rough
manifest
obscure
apt
Correct answer
manifest
Why this answer is correct
The word ‘apparent’ means ‘that which can be seen’. The meanings of the words are:
Rough=> having an uneven or irregular surface; not smooth or level.
Manifest=> to show something clearly, through signs or actions
Obscure=> hidden
Apt=> appropriate
Thus option 2 is the correct answer.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Interdiction
decree
privilege
emerge
obscene
Correct answer
decree
Why this answer is correct
The word ‘interdiction’ means ‘the action of prohibiting or forbidding something.’. The meanings of the other words are:
Decree=> an official order that has the force of law.
Privilege=> special right
Emerge=> move out of or away from something and become visible
Obscene=> offensive or disgusting by accepted standards of morality and decency.
Thus option 1 is the correct answer.
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No error'.
If I was he, (1)/ I wouldn't (2)/ accept this gift. (3)/ No Error (4)
1
2
3
4
Correct answer
1
Why this answer is correct
The correct answer is: 1.
Key Points
Therefore, the correct answer is: If I were he, I wouldn't accept this gift.
200 questions in the full paper
