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 related word from the given alternatives.
Binocular : View : : ? : ?
Shovel : Scoop
Spanner : Guard
Tongs : Bore
Chisel : Grind
Correct answer
Shovel : Scoop
Why this answer is correct
Binocular is used to view things likewise, shovel is a tool used for scoop or to dig.
In the following question, select the odd number pair from the given alternatives.
72 – 92
33 – 53
89 – 129
60 – 80
Correct answer
89 – 129
Why this answer is correct
72 + 20 = 92
33 + 20 = 53
60 + 20 = 80
But, 89 + 40 = 129
Thus, 89 – 129 is the odd number pair.
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
Clearly, when paper sheet is unfolded it will appear as shown below.
Thus, figure (4) is the correct answer.
In the given figure, how many metallic balls are also heavy?
97
71
31
66
Correct answer
31
Why this answer is correct
Clearly, ‘31’ represents the correct relation of metallic balls which are also heavy.
In the following question, select the odd number pair from the given alternatives.
11 – 44
8 – 34
6 – 18
12 – 72
Correct answer
8 – 34
Why this answer is correct
6 × 3 = 18
11 × 4 = 44
8 × 5 = 40 but, 8 – 34 (given)
12 × 6 = 72
Thus, 8 – 34 is the odd number pair.
In the following question, select the word which cannot be formed using the letters of the given word.
PARTICULARLY
RALLY
TALCUM
CULT
PART
Correct answer
TALCUM
Why this answer is correct
There is no M in word PARTICULARLY.
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
Clearly, figure (4) shows the correct right image of question figure.
Vikram remembers that his son Vihan's birthday is after 25th December. Vikram's wife remember that Vihan's birthday is after 23rd December but before 27th December. On which date of December is Vihan's birthday?
23
24
25
26
Correct answer
26
Why this answer is correct
After 23rd December and 25th December and before 27th December there will be only one date left that is 26th December. Thus, Vihan’s birthday is on 26th December.
Which answer figure will complete the pattern in the question figure?
Correct answer
Why this answer is correct
Clearly, fig. (4) will complete the pattern when placed in the blank space of
In the figure which number represents poisonous insects which are not black?
2
3
4
5
Correct answer
2
Why this answer is correct
Clearly, ‘2’ represents the correct relation of Poisnous insects which are not black.
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
Clearly, figure (4) shows the correct right image of question figure.
In the following question, select the related number from the given alternatives.
6 : 215 : : 8 : ?
510
511
512
520
Correct answer
511
Why this answer is correct
⇒ (6)3 = 216 − 1 = 215
So, (8)3 = 512 − 1 = 511
Hence, the correct answer is 511.
From the given answer figures, select the one in which the question figure is hidden/embedded.
Correct answer
Why this answer is correct
On close observation, we find that question figure is embedded in fig. (3) as shown below.
The ratio of present ages of Kamal and Vikram is 9 : 4. If the age of Kamal ten years ago was 44 years, then what is the present age (in years) of Vikram?
24
28
20
22
Correct answer
24
Why this answer is correct
Let the age Present of Kamal and Vikram is 9x and 4x.
If the age of Kamal ten years ago was 44 years
⇒ 9x – 10 = 44
⇒ x = 54/9 = 6
Hence Present age of Kamal and Vikram = 54 and 24 Years.
In the following question, select the missing number from the given series.
3, 17, 73, 297, ?
1087
1193
2117
2197
Correct answer
1193
Why this answer is correct
The pattern followed here is,
→ 17 – 3 = 14
→ 73 – 17 = 56 (14 × 4)
→ 297 – 73 = 224 (56 × 4)
Similarly,
→ ? – 297 = 224 × 4 = 896
→ ? = 896 + 297 = 1193
Hence, “1193” is missing term.
In the following question, select the word which cannot be formed using the letters of the given word.
CORPORATION
RATIO
REPORT
PORT
TORN
Correct answer
REPORT
Why this answer is correct
There is no ‘E’ in the given word CORPORATION.
Arrange the given words in the sequence in which they occur in the dictionary.
1. Pinned 2. Provoke 3. Pasture 4. Pale 5. Pond
41352
43152
43512
43215
Correct answer
43152
Why this answer is correct
According to the sequence in the dictionary:
The correct order of the given words is:
Hence, the correct answer is "4, 3, 1, 5, 2".
Additional Information
In the following question, select the related letters from the given alternatives.
ABC : FFF : : MDP : ?
RRR
HHH
RHS
RSH
Correct answer
RHS
Why this answer is correct
In ABC : FFF
Similarly,
Thus**,** ABC : FFF : : MDP : RHS.
In the following question, select the odd letters from the given alternatives.
BY
DW
FT
KP
Correct answer
FT
Why this answer is correct
B (opposite to) ↔ Y
D (opposite to) ↔ W
K (opposite to) ↔ P
But, F (opposite to) ↔ U
Thus, F ↔ T is the odd pair.
In a class of 52 children, Bilal's rank is 11th from the bottom. Salman is 9 ranks above Bilal. What is Salman's rank from the top?
37th
33rd
38th
35th
Correct answer
33rd
Why this answer is correct
Total student in class = 52
Bilal's rank is 11th from the bottom
⇒ (Rank from Bottom = 11th, Rank from Top = 42nd)
Salman is 9 ranks above Bilal
⇒ (Rank from Bottom = 11th + 9 rank = 20th, Rank from Top = 33rd)
Hence, Salman’s Rank from top will be 33rd.
In the following question, select the odd word pair from the given alternatives.
Quadrilateral : Four
Octagon : Eight
Decagon : Ten
Heptagon : Six
Correct answer
Heptagon : Six
Why this answer is correct
Quadrilateral is a four sided polygon.
Octagon is a eight sided polygon.
Decagon is a ten sided polygon.
Heptagon is a seven sided polygon, thus the option Hence, Heptagon : Six is odd pair.
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
Clearly, when paper sheet is unfolded it will appear as shown below.
Thus, figure (4) is the correct answer.
In the following question, select the number which can be placed at the sign of question mark (?) From the given alternatives.
| 8 | 24 |
|---|---|
| 216 | 72 |
| 12 | 36 |
|---|---|
| 324 | 108 |
| 14 | 42 |
|---|---|
| ? | 126 |
178
252
378
630
Correct answer
378
Why this answer is correct
The pattern followed is :
⇒ 8 × 3 = 24 × 3 = 72 × 3 = 216
12 × 3 = 36 × 3 = 108 × 3 = 324
14 × 3 = 42 × 3 = 126 × 3 = 378.
In the following question, select the missing number from the given series.
2, 3, 8, 27, ?
76
84
112
124
Correct answer
112
Why this answer is correct
The pattern followed is:
⇒ 2 × 1 + 1 = 2 + 1 = 3.
3 × 2 + 2 = 6 + 2 = 8.
8 × 3 + 3 = 24 + 3 = 27.
27 × 4 + 4 = 108 + 4 = 112.
In the following question, select the odd word pair from the given alternatives.
Dog : Puppy
Horse : Mare
Sheep : Lamb
Cow : Calf
Correct answer
Horse : Mare
Why this answer is correct
In all the other pairs the second is the young one of the first, except Horse : Mare, as Mare is the female Horse. Thus, Horse – Mare is the odd pair.
If "@" denotes "added to", "$" denotes "subtracted from", "%" denotes "multiplied by" and "&" denotes "divided by", then which of the following equation must be true$?
7 % 9 & 3 $ 5 = 4$
4 % 3 @ 6 $ 9 = 12$
3 @ 9 % 6 & 2 = 30
6 % 9 @ 2 $ 7 = 16$
Correct answer
3 @ 9 % 6 & 2 = 30
Why this answer is correct
| Symbol code | @ | $ | % | & |
|---|---|---|---|---|
| Meaning | + | − | × | ÷ |
⇒ converting the equations:
1) 7 × 9 ÷ 3 − 5 = 4
= 16 ≠ 4
2) 4 × 3 + 6− 9 = 12
= 9 ≠ 12
3) 3 + 9 × 6 ÷ 2 = 30
= 30 = 30
4) 6 × 9 + 2−7 = 16
= 49 ≠ 16.
Thus, the equation 3 @ 9 % 6 & 2 = 30 is true$.
In the following question, select the odd letters from the given alternatives.
SZ
BJ
PW
MT
Correct answer
BJ
Why this answer is correct
Thus, BJ is the odd letter pair.
In the following question, correct the equation by interchanging two numbers.
3 – 4 + 12 × 6 ÷ 8 = 28
3 and 4
4 and 8
3 and 8
4 and 6
Correct answer
3 and 8
Why this answer is correct
3 – 4 + 12 × 6 ÷ 8 ≠ 28
Interchanging 3 and 8 we get,
⇒ 8 – 4 + 12 × 6 ÷ 3
= 8 – 4 + 12 × 2
= 8 – 4 + 24
= 28
8 – 4 + 12 × 6 ÷ 3 = 28.
How many triangles are there in the given figure?
16
18
20
24
Correct answer
20
Why this answer is correct
The triangles are:
So, there are 20 triangles in the given figure.
Hence, the correct answer is "20".
Alternate Method
The figure may be labeled as:
The possible triangle are: ABC, DEF, BKG, GKD, DKH, HKE, EKI, IKC, CKJ, JKB, BCE. DEC, BAE, DCF, KCE, KDB, KCB, KDE, BCD and DEB.
Thus, the total no, of Triangle is 20.
Which answer figure will complete the pattern in the question figure?
Correct answer
Why this answer is correct
Clearly, fig. (1) will complete the pattern when placed in the blank space of question figure.
If 42 θ 2 α 16 = 146 and 32 θ 5 α 18 = 77, then 42 θ 4 α 39 = ?
108
125
203
184
Correct answer
125
Why this answer is correct
Logic here is,
⇒ 42 θ 2 α 16 = 146
⇒ (16 × 10) + 2 – 16 = 146
⇒ 162 – 16 = 146
⇒ 146 = 146
⇒ 32 θ 5 α 18 = 77
⇒ (9 × 10) + 5 – 18 = 77
⇒ 95 – 18 = 77
⇒ 77 = 77
⇒ 42 θ 4 α 39 = ?
⇒ (16 × 10) + 4 – 39 = ?
⇒ 164 – 39 = ?
⇒ 125 = 125
Hence, 125 is the correct answer.
In a certain code language, "TAIL" is written as "42" and "BANT" is written as "37". How is "GODY" written in that code language?
79
51
68
73
Correct answer
51
Why this answer is correct
According to alphabetical position of letters,
⇒ TAIL (20 + 1 + 9 + 12) = 42
BANT (2 + 1 + 14 + 20) = 37
So, GODY = (7 + 15 + 4 + 25) = 51
In the given figure, which alphabet/alphabets represent only old cars?
y and r
y
a, y and b
a and b
Correct answer
y
Why this answer is correct
Clearly, ‘y’ represents the correct relation of only old cars.
In the following question, select the related letters from the given alternatives.
JMPQ : HKNO : : LCOP : ?
JANM
JAMN
MAJP
JANN
Correct answer
JAMN
Why this answer is correct
In JMPQ : HKNO,
Similarly,
JMPQ : HKNO : : LCOP : JAMN.
If 6 A 7 B 3 = 60 and 11 A 9 B 6 = 165, then 10 A 11 B 5 = ?
105
160
165
180
Correct answer
160
Why this answer is correct
⇒ 7 + 3 = 10 × 6 = 60
9 + 6 = 15 × 11 = 165
Then 11 + 5 = 16 × 10 = 160.
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number 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, ‘L’ can be represented by 11, 42 etc, and ‘A’ can be represented by 65, 96, etc, Similarly, you have to identify The set of word “FISH”.
| MATRIX – I | |||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |
| 0 | P | I | Y | F | L |
| 1 | F | L | P | I | Y |
| 2 | I | Y | F | L | P |
| 3 | L | P | I | Y | F |
| 4 | Y | F | L | P | I |
| MATRIX – II | |||||
|---|---|---|---|---|---|
| 5 | 6 | 7 | 8 | 9 | |
| 5 | H | S | E | A | P |
| 6 | A | P | H | S | E |
| 7 | S | E | A | P | H |
| 8 | P | H | S | E | A |
| 9 | E | A | P | H | S |
34, 02, 56, 67
03, 20, 69, 79
22, 13, 75, 98
10, 43, 99, 55
Correct answer
22, 13, 75, 98
Why this answer is correct
1) 34, 02, 56, 67 → FYSH
2) 03, 20, 69, 79 → FIEH
3) 22, 13, 75, 98 → FISH
4) 10, 43, 99, 55 → FPSH
Clearly, the number set for the word ‘FISH’ is 22, 13, 75, 98.
Arrange the given words in the sequence in which they occur in the dictionary.
1. Pebble 2. Pager 3. Protect 4. Pest 5. Pray
21453
24153
25143
25413
Correct answer
21453
Why this answer is correct
The correct sequence is – 21453
(2) Pager (1) Pebble (4) Pest (5) Pray (3) Protect
From the given options, which answer figure can be formed by folding the figure given in the question?
Correct answer
Why this answer is correct
Option 1 is not possible as both black faces are opposite to each other.
Option 3 and 4 cannot be formed as, face with A and face with one coloured dot are opposite to each other.
Thus, answer is option 2.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
AAZ, CDX, EGV, ?
FGT
GIT
GHT
GJT
Correct answer
GJT
Why this answer is correct
Thus, the series will be AAZ, CDX, EGV, GJT.
From the given options, which answer figure can be formed by folding the figure given in the question?
Correct answer
In the following question, select the number which can be placed at the sign of question mark (?) From the given alternatives.
16
17
18
19
Correct answer
16
Why this answer is correct
Add the Outer numbers + 1 = Middle number;
(6 + 1 + 4 + 3) + 1 = 15;
(7 + 4 + 5 + 2) + 1 = 19;
Hence, (9 + 3 + 2 + 1) + 1 = 16
In a certain code language, "CURING" is written as "XFIRMT" and "TRACED" is written as "GIZXVW". How is "LATELY" written in that code language?
QZXHQD
RXGVRC
OZGVOB
NXHVNB
Correct answer
OZGVOB
Why this answer is correct
"CURING" is written as "XFIRMT"
"TRACED" is written as "GIZXVW"
Similarly,
Thus, ‘OZGVOB’ is the code for ‘LATELY.’
How many triangles are there in the given figure?
16
18
19
20
Correct answer
20
Why this answer is correct
The figure may be labeled as:
The possible triangle are: ABC, ADE, BDF, EFC, GJE, EJH, HJF, FJI, IJD, DJG, FDE, FGD, FGE, EIF, EID, DJE, EJF, FJD, DHF and DHE.
Thus, the total no, of Triangle is 20.
In the following question, select the related word from the given alternatives.
Book : Pages : : Ladder : ?
Steps
Walking
Parts
Levels
Correct answer
Steps
Why this answer is correct
A Book consists of Pages likewise, Ladder consists of steps.
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, ‘M’ can be represented by 22, 44 etc, and ‘T’ can be represented by 67, 96, etc, Similarly, you have to identify The set of word “CROPS”.
| MATRIX – I | |||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |
| 0 | M | C | O | S | N |
| 1 | C | N | S | M | O |
| 2 | N | O | M | C | S |
| 3 | S | M | N | O | C |
| 4 | O | S | C | N | M |
| MATRIX – II | |||||
|---|---|---|---|---|---|
| 5 | 6 | 7 | 8 | 9 | |
| 5 | T | U | Q | P | R |
| 6 | P | R | T | U | Q |
| 7 | U | Q | P | R | T |
| 8 | Q | P | R | T | U |
| 9 | R | T | U | Q | P |
10, 59, 02, 65, 00
23, 78, 14, 99, 30
42, 95, 40, 76, 03
34, 66, 33, 86, 22
Correct answer
23, 78, 14, 99, 30
Why this answer is correct
1) 10, 59, 02, 65, 00 → CROP
2) 23, 78, 14, 99, 30 → CROPS
3) 42, 95, 40, 76, 03 → CROS
4) 34, 66, 33, 86, 22 → CROP
Clearly, the number set for the word ‘CROPS’ is 23, 78, 14, 99, 30.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
MP, OR, QT, SV, ?
UX
TW
TU
XU
Correct answer
UX
Why this answer is correct
Thus, the series will be MP, OR, QT, SV, UX.
From the given answer figures, select the one in which the one in which the question figure is hidden/embedded.
Correct answer
Why this answer is correct
On close observation, we find that question figure is embedded in fig. (4) as shown below.
In the following question 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 statement.
Statements:
I. All pens are pencils.
II. No pencil is eraser.
III. Some cups are erasers.
Conclusions:
I. Some cups are not pencils.
II. Some cups are not pens.
III. Some pencils are not cups.
IV. No pen is eraser.
Only conclusion (I), (II) and (IV) follow
Only conclusion (II) and (IV) follow
Only conclusion (I) and (IV) follow
All conclusions follow
Correct answer
Only conclusion (I), (II) and (IV) follow
Why this answer is correct
The possible Venn diagram:
Explanation:
I. Some cups are not pencils → It's true. (Part of cup that is eraser is not pencil)
II. Some cups are not pens → It's true. P(art of cup that is eraser is not pen)
III. Some pencils are not cups → False (It is possible but not definite)
IV. No pen is eraser → It's true. (As no pencil is an eraser, Pen is part of the pencil so no pen is eraser)
Thus, only conclusion I, II and IV follow.
In the following question 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 cups are plates.
II. No plate is spoon.
III. Some spoons are pens.
Conclusions:
I. Some pens are cups.
II. Some cups are spoons.
III. No cup is spoon.
IV. Some pens are not cups.
Only conclusion (II) and (III) follow
Only conclusion (III) and (IV) follow
Only conclusion (I) and (IV) follow
Only conclusion (I), (II) and (III) follow
Correct answer
Only conclusion (III) and (IV) follow
Why this answer is correct
The possible Venn diagram:
Explanation:
I. Some pens are cups → It is not a definite case, hence false.
II. Some cups are spoons → All cups are part of plates, and No plate is spoon thus, some cups cannot be spoons hence, false.
III. No cup is spoon → It is a definite case, hence true.
IV. Some pens are not cups → Pens which are spoon cannot be cups, hence true
Thus, Only conclusion (III) and (IV) follows.
In the following question, select the related number from the given alternativs.
11 : 1331 : : 12 : ?
1728
728
1528
1628
Correct answer
1728
Why this answer is correct
The pattern followed is :
(11)3 = 1331
Similarly, (12)3 = 1728.
Hence, the related number is 1728.
Router is used in which of the following layer?
Transport layer
Network layer
Physical layer
Application layer
Correct answer
Network layer
Why this answer is correct
Which of the following ecosystem has highest bio-mass?
Desert Ecosystem
Fresh water Ecosystem
Tundra Ecosystem
Forest Ecosystem
Correct answer
Forest Ecosystem
Why this answer is correct
Which type of federalism is seen in India?
Coming together federation
Holding together federation
Coming together federation and holding together federation both
None of these
Correct answer
Holding together federation
Why this answer is correct
What was the main aim of Ramsar Convention?
Conservation of wetlands
Bio-diversity Conservation
Global Warming
Climate Change
Correct answer
Conservation of wetlands
Why this answer is correct
A stalagmite is a kind of special deposition that is caused by which of the following?
Glacier
Wind
Surface water
Underground water
Correct answer
Underground water
Why this answer is correct
The correct answer is Underground water.
Key Points
Additional Information
What is the chemical name of vinegar?
Acetic Acid
Citric Acid
Lactic Acid
Formic Acid
Correct answer
Acetic Acid
Why this answer is correct
The correct option is Acetic Acid.
Key Points
Additional Information Citric acid
Lactic acid
Formic Acid:
Which of the following pair is correct?
I. Prime Meridian – Longitude
II. Tropic of Cancer – Latitude
III. Equator – Latitude
I and II
I and III
II and III
All options are correct
Correct answer
All options are correct
Why this answer is correct
Longitude - Longitude is the angular distance of a place from Greenwich Prime Meridian Line.
Latitude - Latitude is the angular distance from the center of Earth.
How many agreements/MoUs were signed between India and Israel during the visit of Prime Minister of Israel to India on January 2018?
7
5
9
10
Correct answer
9
Why this answer is correct
India and Israel signed 9 agreements/MoUs during the visit of Prime Minister of Israel to India. These agreements are in the areas of cyber security, oil and gas sector, air transport, film-co-production, research in Homeopathic medicine, cooperation in the field of space, investment, metal-air-batteries, and concentrated solar thermal technologies.
How many air routes have awarded under the second phase of UDAN regional connectivity scheme?
325
320
330
350
Correct answer
325
Why this answer is correct
Which of the following is correct about Moon's gravitation?
Moon's gravitation = 1/6th of Earth's gravitation
Moon's gravitation = 1/6th of Mars gravitation
Moon's gravitation = 1/8th of Earth's gravitation
Moon's gravitation = 1/8th of Mars gravitation
Correct answer
Moon's gravitation = 1/6th of Earth's gravitation
Why this answer is correct
The correct answer is Moon's gravitation = 1/6th of Earth's gravitation.
Key Points
On which of the following date, winter solstice is observed in Southern Hemisphere?
5th August
10th August
15th february
21st June
Correct answer
21st June
Why this answer is correct
Who has authored the book 'The Unseen Indira Gandhi'?
Jayram Naresh
Dr. K.P.Mathur
Dr. Anna Suvorova
Santosh Singh
Correct answer
Dr. K.P.Mathur
Why this answer is correct
Dr. KP Mathur has authored the book "The Unseen Indira Gandhi", who was the personal physician of former Prime Minister Indira Gandhi.
Which among the following is used to measure slope of indifference curve?
Marginal Rate of Transformation
Marginal Rate of Substitution
Marginal Rate of Technical Substitution
None of these
Correct answer
Marginal Rate of Substitution
Why this answer is correct
Which of the following water current is not a cold current?
Humbolt current
Brazil current
Oyashio current
Canary current
Correct answer
Brazil current
Why this answer is correct
| Cold Current | Trick |
|---|---|
| Benguela Current | Be |
| Humboldt Current | Humble |
| West Australian Current | Australia |
| Canaries Current | Can |
| California Current | Call |
| Labrador Current | Law |
| Okhotsk Current | Officer |
| West Greenland Current | Green |
| Falkland Current | Falkland |
Trick: Be Humble Australia can call Law Officer at Green Falkland.
The force of attraction between an electron revolving around the nucleus and the nucleus is a ______ force?
Mechanical
Electric
Magnetic
Gravitational
Correct answer
Electric
Why this answer is correct
Bamboo is a type of ________.
Herb
Tree
Shrub
Grass
Correct answer
Grass
Why this answer is correct
Which of the following clouds are responsible for rainfall?
Cumulonimbus
Cumulostratus
Cumulocirrus
Altocumulus
Correct answer
Cumulonimbus
Why this answer is correct
The correct answer is option 1, i.e. Cumulonimbus.
'Food For Work Programme' was introduced at time of which Five Year Plan?
Fifth
Tenth
Seventh
Ninth
Correct answer
Fifth
Why this answer is correct
Food For Work Programme was introduced at the time of Fifth Five Year Plan(1974-1978)
Which of the following is the prime reason for inflation?
Decrease in money supply
Increase in money supply
Decrease in supply of goods
Increase in government cash
Correct answer
Increase in money supply
Why this answer is correct
What are the maximum number of seats fixed for Lok Sabha in India? (Till july 2017)
545 seats
552 seats
560 seats
550 seats
Correct answer
552 seats
Why this answer is correct
Important Points
Shiva Thapa is related to which sports?
Football
Boxing
Gymnastic
Swimming
Correct answer
Boxing
Why this answer is correct
Shiva Thapa is related to Boxing who is from Guwahati, Assam. He was the youngest Indian boxer to qualify for the Olympics when he participated in the 2012 London Olympics.
| Temple | Meaning |
|---|---|
| 1.Executive | a. An institution empowered to administer justice and provide a mechanism for the resolution of legal disputes. |
| 2. Judiciary | b. An assembly of people’s representatives with the power to enact laws for a country. |
| 3.Legislature | c. A body of persons having authority to initiate major policies make decisions and implement them on the basis of the constitution and laws of the country. |
1 - c, 2 - a, 3 - d
1 - b, 2 -c, 3 - a
1 - a, 2 - c, 3 - b
1 - c, 2 - a, 3 - b
Correct answer
1 - c, 2 - a, 3 - b
Why this answer is correct
| Organ | Function |
|---|---|
| Executive | A body of persons having authority to initiate major policies make decisions and implement them on the basis of the constitution and laws of the country |
| Judiciary | An institution empowered to administer justice and provide a mechanism for the resolution of legal disputes |
| Legislature | An assembly of people’s representatives with the power to enact laws for a country |
'Rn' is chemical symbol of which element?
Radium
Radon
Ruthenium
Rhenium
Correct answer
Radon
Why this answer is correct
| Element | Symbol |
|---|---|
| Radium | Ra |
| Radon | Rn |
| Ruthenium | Ru |
| Rhenium | Re |
Which of the following elements has the highest electrical conductivity?
Copper
Silver
Zinc
Lead
Correct answer
Silver
Why this answer is correct
CONCEPT:
EXPLANATION:
In fluid mechanics, Mach number is 1, if the speed of an object is equal to the ________?
Speed of light
Rotational speed of sun
Speed of sound
Speed of revolution of earth around the sun
Correct answer
Speed of sound
Why this answer is correct
Which of the following has least melting point?
Carbon
Silver
Mercury
Gold
Correct answer
Mercury
Why this answer is correct
Mercury has the least melting point of -37.89 F, however, Carbon has the highest melting point.
| Element | Melting Point | Boiling Point |
|---|---|---|
| Carbon | 3823 K (3550°C) | 4098 K (3825°C) |
| Silver | 1234.93 K (961.78°C) | 2435 K (2162°C) |
| Mercury | 234.32 K (-38.83°C) | 629.88 K (356.73°C) |
| Gold | 1337.33 K (1,064°C) | 3243 K (1064.18°C) |
India shares its least International boundary with which country?
Pakistan
China
Afghanistan
Nepal
Correct answer
Afghanistan
Why this answer is correct
India has 15106.7 Km of land border in which it has longest border with Bangladesh and the shortest border with Afghanistan.
| Country | Lenght of the Border (in Km) |
|---|---|
| Bangladesh | 4,096.7 |
| China | 3,488 |
| Pakistan | 3,323 |
| Nepal | 1,751 |
| Myanmar | 1,643 |
| Bhutan | 699 |
| Afghanistan | 106 |
| Total | 15,106.7 |
Who among the following issues a notification for prorogation of legislative session?
Speaker
Chairman
President
Prime Minister
Correct answer
President
Why this answer is correct
What is the full form of CRR?
Cash Return Ratio
Cash Reserve Ratio
Cash Revenue Ratio
Cash Return Reserve
Correct answer
Cash Reserve Ratio
Why this answer is correct
Which of the following cell organelle is also called as 'Suicidal Bag of Cell'?
Mitochondria
Nucleus
Nucleolus
Lysosomes
Correct answer
Lysosomes
Why this answer is correct
Which among the following writ is issued by a court to a public official asking him to perform his official duties?
Prohibition
Mandamus
Quo Warranto
Habeas Corpus
Correct answer
Mandamus
Why this answer is correct
Article 32 of the Constitution of India states that Supreme Court and High Courts can issue the writs to protect the fundamental rights of the citizen (Right to the Constitutional Remedies). Mandamus is a judicial writ issued by the court to an inferior court or government or judicial officers as a command to perform their duty.
| Writs | Implication |
|---|---|
| Habeas Corpus | To protect personal liberty |
| Mandamus | Issued to lower court or government or judicial officers as a command to perform their duty |
| Prohibition | Issued to the lower court to assure their jurisdiction |
| Certiorari | Issued to lower court to transfer any subject |
| Quo Warranto | Issued by the court if any person is holding the post unconstitutionally |
Which of the following language is used by computer to process data?
Octanary
Binary
Hexanary
Tertianary
Correct answer
Binary
Why this answer is correct
Who discovered Law of Conservation of Electric Charge?
Michael Faraday
Guglielmo Marconi
Benjamin Franklin
Isaac Newton
Correct answer
Benjamin Franklin
Why this answer is correct
Match the following:
| Temple | State |
|---|---|
| 1. Somnath Temple | a. Assam |
| 2. Kamakhya Temple | b. Tamil Nadu |
| 3. Ramnathaswamy Temple | c. Gujarat |
| 4. Mahabodhi Temple | d. Bihar |
1 - b, 2 - a, 3 - d, 4 - c
1 - c, 2 -b, 3 - a, 4 - d
1 - c, 2 - a, 3 - b, 4 - d
1 - b, 2 - c, 3 - a, d - d
Correct answer
1 - c, 2 - a, 3 - b, 4 - d
Why this answer is correct
| Temple | State |
|---|---|
| Somnath Temple | Gujarat |
| Kamakhya Temple | Assam |
| Ramnathaswamy Temple | Tamil Nadu |
| Mahabodhi Temple | Bihar |
Jhum cultivation refers to ________.
Terrace farming
Step farming
Shifting agriculture
Jamun cultivation
Correct answer
Shifting agriculture
Why this answer is correct
The correct answer is Shifting agriculture
Key Points
What is the common name of Calcium Hypochlorite?
Water
Bleaching powder
Baking soda
Baking powder
Correct answer
Bleaching powder
Why this answer is correct
Calcium Hypochlorite is an inorganic compound with the chemical formula Ca(CIO)2. It is known as bleaching powder as a mixture of lime and calcium chloride.
| Common Name | Chemical Formula | Chemical Name |
|---|---|---|
| Water | H2O | Dihydrogen oxide |
| Bleaching powder | Ca(CIO)2 | Calcium Hypochlorite |
| Baking soda | NaHCO3 | Sodium hydrogen carbonate |
| Baking powder | NaHCO3 | Sodium hydrogen carbonate |
Who among of the following constructed the Panch Mahal at Fatehpur Sikri?
Akbar
Jahangir
Shahjahan
Aurangzeb
Correct answer
Akbar
Why this answer is correct
What is Disposable Personal Income?
Personal Income + Subsidies
Personal Income – Subsidies
Personal Income – Personal Income Tax
Personal Income – Indirect Taxes
Correct answer
Personal Income – Personal Income Tax
Why this answer is correct
Disposable personal income is the amount of money, a person has available to spend after income tax have been accounted for. It is often used as the key economic factor to know the overall state of the economy.
Disposable Personal Income = Personal Income - Personal Income Tax
Who has won 2018 Pulitzer Prize for his album "DAMN"?
Kendric Lamar
Michael Gilbertson
Ted Hearne
Eminem
Correct answer
Kendric Lamar
Why this answer is correct
The Pulitzer Prize is a prestigious award for achievements in newspaper, magazine and online journalism, literature and musical composition in the United States.Kendric Lamar won 2018 Pulitzer Prize for music for his album "DAMN".
Which among the following has open circulatory system?
I. Cockroach
II. Human
III. Prawn
I and II
I and III
II and III
Only III
Correct answer
I and III
Why this answer is correct
A ________ government rules within limits set by constitutional law and citizen right.
Autocratic
Democratic
Monarchic
Authoritarian
Correct answer
Democratic
Why this answer is correct
A democratic government rules within limits set by constitutional law and citizen right. In this form of government, supreme power is vested in people which is exercised by elected members.
| Form of Government | Features |
|---|---|
| Autocratic | Supreme power vested in hands of one person |
| Democratic | Supreme power vested in people which is exercised by elected members within the limits set by constitutional law |
| Monarchic | Supreme power vested in hands of a monarch |
| Authoritarian | State authority is enforced onto many aspects of citizen's lives |
Which of the following article deals with the appointment of the Prime Minster of India?
Article 356
Article 32
Article 75
Article 348
Correct answer
Article 75
Why this answer is correct
The correct answer is Article 75.
Key Points
Additional Information
| Article | Implication |
|---|---|
| Article 356 | President's rule |
| Article 32 | Right to Constitutional Remedy |
| Article 75 | Appointment of Prime Minister of India |
| Article 348 | Language to be used in the Supreme Court and in the High Courts and for Acts, Bills, etc |
Shortugai (Indus Valley Civilization site) is in which country?
India
Pakistan
Afghanistan
Tibet
Correct answer
Afghanistan
Why this answer is correct
The correct answer is Afghanistan
Mohenjo-daro was locally named as ________.
Mound of desert
Mound of delta
Mound of dead
Mound of life
Correct answer
Mound of dead
Why this answer is correct
Which of the following protein is found in nails?
Histone
Keratin
Elastin
Actin
Correct answer
Keratin
Why this answer is correct
Who was the founder of the Indian National Congress?
Sardar Vallabh Bhai Patel
Dr. B. R. Ambedkar
A. O. Hume
Jawaharlal Nehru
Correct answer
A. O. Hume
Why this answer is correct
The correct answer is Allan Octavian Hume.
Key Points
Additional Information
How many canine teeth are there in adult human?
2
8
6
4
Correct answer
4
Why this answer is correct
The correct answer is Option 4.
A normal adult has 32 teeth: incisors (8), Canines (4), premolars (8) and molars (12). Normal adult's 32 teeth is an upgrade form of a 20 piece "milk teeth" version.
| Types of teeth | Functions |
|---|---|
| Incisors | Used for cutting food into small chewable pieces |
| Canines | Grip and tear food |
| Premolars | Tear and crush food |
| Molars | Chew, crush and grind food |
In which century, Qutub Minar of Delhi was built?
12th Century
13th Century
14th Century
11th Century
Correct answer
12th Century
Why this answer is correct
The correct answer is 12th Century.
Key Points
Which of the following fundamental right has been deleted from Indian Constitution?
Right to Freedom
Right to Speech
Right to Property
Right to Equality
Correct answer
Right to Property
Why this answer is correct
By the 44th Amendment to the Constitution in 1978, Right to property (Article 31) has been removed which is now a legal right. It has now become the part of Article 300 (A).
| Fundamental Rights | Articles |
|---|---|
| Right to Equality | Article 14-18 |
| Right to Freedom | Article 19-22 |
| Right Against Exploitation | Article 23-24 |
| Right to Freedom of Religion | Article 25-28 |
| Cultural and Educational Rights | Article 29-30 |
| Right to Constitutional Remedies | Article 32 |
Where is Stapes bone found in human body?
Fingers
Nose
Ears
Thumb
Correct answer
Ears
Why this answer is correct
The correct answer is Ears.
Key Points
Additional Information
| Pinna | - The pinna is the only visible part of the ear with its special helical shape. - It acts as a kind of funnel that assists in directing the sound further into the ear. - This is the outside part of the ear, which collects sound from the environment or surroundings. |
|---|---|
| Cochlea | - The cochlea is a portion of the inner ear. - It looks like a snail shell. - The function of the cochlea is to transform the vibrations of the cochlear liquids and associated structures into a neural signal. |
| Anvil | - In the middle ear, there are three tiny bones (ossicles) - the hammer (malleus), anvil (incus) and stirrup (stapes). - Also called the incus, a tiny bone that passes vibrations from the hammer to the stirrup. |
| Hammer | - It is also called the Malleus. - It is a tiny bone that passes vibrations from the eardrum to the anvil. |
In ΔDEF, ∠EFD = 90°, DF = 7 cm and EF = 24. What is the radius (in cm) of the circum-circle of ΔDEF?
26
12.5
13
25
Correct answer
12.5
Why this answer is correct
OB = AF = DF/2 = 7/2
FB = EF/2 = 24/2 = 12
∴ OF = √[(7/2)2 + 122] = √(49/4 + 144) = √(625/4) = 25/2 cm
∴ Radius (in cm) of the circum-circle = 25/2 = 12.5 cm
What is the value of \(\frac{{{{\left( {0.7} \right)}^3} + {{\left( {0.3} \right)}^3}}}{{{{\left( {0.7} \right)}^2} - 0.7 \times 0.3 + {{\left( {0.3} \right)}^2}}}?\)
1.2
0.8
1
1.4
Correct answer
1
Why this answer is correct
\(\begin{array}{l} \Rightarrow \frac{{{{\left( {0.7} \right)}^3} + {{\left( {0.3} \right)}^3}}}{{{{\left( {0.7} \right)}^2} - 0.7 \times 0.3 + {{\left( {0.3} \right)}^2}}}\ \Rightarrow \frac{{\left( {0.7 + 0.3} \right)\left[ {{{\left( {0.7} \right)}^2} - 0.7 \times 0.3 + {{\left( {0.3} \right)}^2}} \right]}}{{{{\left( {0.7} \right)}^2} - 0.7 \times 0.3 + {{\left( {0.3} \right)}^2}}} \end{array}\)
⇒ 0.7 + 0.3
⇒ 1
In the given figure, ABC is a triangle in which, AB = 6 cm, AC = 6 cm and altitude AD = 4 cm. If AE is the diameter of the circumcircle, then what is the length (in cm) of BC?
6√5
2√3
4√5
√5
Correct answer
4√5
Why this answer is correct
In ADC triangle,
AD = 4 cm, AC = 6 cm
∴ CD = √(62 - 42) = √20 = 2√5 cm
In ADB triangle,
AD = 4 cm, AB = 6 cm
∴ BD = √(62 - 42) = √20 = 2√5 cm
∴ BC = 2√5 + 2√5 = 4√5 cm
If x2 + 1/x2 = 7/4 for x > 0 then what is the value of x4 + 1/x4?
1
17/16
15/16
51/16
Correct answer
17/16
Why this answer is correct
⇒ x2 + 1/x2 = 7/4
⇒ (x2 + 1/x2)2 = (7/4)2
⇒ x4 + 1/x4 + 2 = 49/16
⇒ x4 + 1/x4 = 49/16 - 2
⇒ x4 + 1/x4 = (49 - 32)/16
⇒ x4 + 1/x4 = 17/16
If N = (√8 + √6)/(√8 - √6), then what is the value of N - (1/N)?
8√3
14
7
0
Correct answer
8√3
Why this answer is correct
N = (√8 + √6)/(√8 - √6)
∴ 1/N = (√8 - √6)/(√8 + √6)
∴ N – (1/N)
\(\begin{array}{l} \Rightarrow \frac{{\sqrt 8 + \sqrt 6 }}{{\sqrt 8 - \sqrt 6 }} - \frac{{\sqrt 8 - \sqrt 6 }}{{\sqrt 8 + \sqrt 6 }}\ \Rightarrow \frac{{{{\left( {\sqrt 8 + \sqrt 6 } \right)}^2} - {{\left( {\sqrt 8 - \sqrt 6 } \right)}^2}}}{{\left( {\sqrt 8 - \sqrt 6 } \right)\left( {\sqrt 8 + \sqrt 6 } \right)}}\ \Rightarrow \frac{{\left( {8 + 6 + 2\sqrt {48} } \right) - \left( {8 + 6 - 2\sqrt {48} } \right)}}{{8 - 6}} \end{array}\)
⇒ 4√48/2
⇒ 2√48
⇒ 8√3
If the price of milk increases from Rs 60/kg to Rs 70/kg, then by what percentage a person should decrease the consumption of milk so that expenditure remains same?
16.66
14.28
12.33
17.33
Correct answer
14.28
Why this answer is correct
Let, expenditure on milk = Rs. y
When price of milk = Rs. 60/kg
∴ Quantity of milk = y/60 kg
When price of milk = Rs. 70/kg
∴ Quantity of milk = y/70 kg
∴ Percentage decrease,
\(\begin{array}{l} \Rightarrow \frac{{\frac{y}{{60}} - \frac{y}{{70}}}}{{\frac{y}{{60}}}} \times 100% \ \Rightarrow \frac{{\frac{{7y - 6y}}{{420}}}}{{\frac{y}{{60}}}} \times 100% \end{array}\)
Direction: The bar graph given below represents the number of players of a college taking part in three games for 3 year.
Number of players playing football in 2016 is how much percent less than the players playing football in 2014?
14.28
37.5
33.33
8.33
Correct answer
37.5
Why this answer is correct
Number of players playing football in 2016 = 250
Number of players playing football in 2014 = 400
∴ Required percentage,
⇒ (400 – 250)/400 × 100%
⇒ 150/400 × 100%
⇒ 37.5%
If O is the circum-center in ∆PQR and ∠QOR = 40°, then what is the value (in degrees) of ∠QPR?
40
60
80
20
Correct answer
20
Why this answer is correct
O is the circum-center in ∆PQR
∠QOR = 40°
∴ ∠QPR = 40°/2 = 20°
The following pie chart shows the distribution of expenses (in degrees) of a family during 2016. Total income of the family in 2016 = Rs. 1080000
What will be the average (in Rs.) of total income spent by the family on Education, Savings and Rent?
220000
215000
205000
210000
Correct answer
210000
Why this answer is correct
Spent on education = 90°
Spent on savings = 30°
Spent on rent = 90°
∴ Average spending = (90 + 30 + 90)/3 = 70°
Let, average spending = Rs. x
According to problem,
⇒ 70/360 = x/1080000
⇒ x = 1080000 × 7/36
⇒ x = 210000
∴ Average spending on education savings and rent = Rs. 210000
If x + 1/x = -2, then what is the value of 1 + x3 + x5 ?
0
1
2
-1
Correct answer
-1
Why this answer is correct
⇒ x + 1/x = - 2
⇒ x2 + 1 = - 2x
⇒ x2 + 2x + 1 = 0
⇒ (x + 1)2 = 0
⇒ x + 1 = 0
⇒ x = -1
∴ 1 + x3 + x5
⇒ 1 + (-1)3 + (-1)5
⇒ 1 - 1 - 1
⇒ -1
What is the total number of players playing all three games in 2015?
950
1000
900
1050
Correct answer
900
Why this answer is correct
No. of players playing cricket in 2015 = 300
No. of players playing football in 2015 = 350
No. of players playing hockey in 2015 = 250
∴ total number of players playing all three games in 2015,
⇒ 300 + 350 + 250
⇒ 900
The radius of a wheel is 14 cm. What is the distance (in cm) travelled by the wheel in 15 revolutions?
440
660
1320
1980
Correct answer
1320
Why this answer is correct
Radius of wheel = 14 cm
∴ Perimeter of wheel = 2 × 22/7 × 14 = 88 cm
∴ In 1 revolution wheel travels = 88 cm
∴ In 15 revolutions wheel travels = 88 × 15 = 1320 cm
What will be the net discount (in percentage) after two successive discounts of 20% and 10%?
28
30
32
42
Correct answer
28
Why this answer is correct
Let, marked price = 100x
1st discount = 20%
∴ Price after 1st discount = (100x - 100x × 20/100) = 80x
2nd discount = 10%
∴ Price after 2nd discount = (80x - 80x × 10/100) = 72x
∴ Net discount,
⇒ (100x - 72x)/100x × 100%
⇒ 28x/100x × 100%
⇒ 28%
If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 7, then what is the value of x3 + y3 + z3 - 3xyz?
49
343
1029
2401
Correct answer
343
Why this answer is correct
⇒ (1/x) + (1/y) + (1/z) = 0
⇒ (yz + zx + xy)/xyz = 0
⇒ xy + yz + zx = 0 ----(1)
⇒ x + y + z = 7 ----(2)
∴ x3 + y3 + z3 - 3xyz
⇒ (x + y + z)(x2 + y2 + z2 - xy - yz - zx)
⇒ 7 × (x2 + y2 + z2 - 0) [putting the value from (1) and (2)]
⇒ 7 × [(x + y + z)2 - 2(xy + yz + zx)]
⇒ 7 × (49 - 0)
⇒ 343
What is the value of positive square root of 14 + 6√5?
3 + √5
3 - √5
5 + √3
5 - √3
Correct answer
3 + √5
Why this answer is correct
⇒ 14 + 6√5
⇒ 9 + 5 + 6√5
⇒ (3)2 + (√5)2 + 2 × 3 × √5
⇒ (3 + √5)2
∴ the value of positive square root of 14 + 6√5,
\(\Rightarrow \sqrt {{{\left( {3 + \sqrt 5 } \right)}^2}}\)
⇒ 3 + √5
What is the total expenditure (in Rs) on Rent, Food and Transport together?
450000
390000
570000
500000
Correct answer
570000
Why this answer is correct
Expenditure on rent = 90°
Expenditure on Food = 60°
Expenditure on transport = 40°
∴ total expenditure on Rent, Food and Transport together,
⇒ 90° + 60° + 40°
⇒ 190°
Total expenditure = 360°
Let, total expenditure on Rent, Food and Transport together = Rs. x
⇒ 190/360 = x/1080000
⇒ x = 1080000 × 19/36
⇒ x = 570000
∴ total expenditure on Rent, Food and Transport together = Rs. 570000
Their expenditure on rent is what percentage of their expenditure on Education?
33.33
50
100
90
Correct answer
100
Why this answer is correct
Expenditure on rent = 90°
Expenditure on Education = 90°
∴ Required percentage,
⇒ 90/90 × 100%
⇒ 100%
Three spherical balls of radius 3 cm, 2 cm and 1 cm are melted to form a new spherical ball. In this process there is a loss of 25% of the material. What is the radius (in cm) of the new ball
5
3
6
8
Correct answer
3
Why this answer is correct
Radius of sphere = 3 cm
∴ Volume of sphere = 4/3 × π × 33
Radius of sphere = 2 cm
∴ Volume of sphere = 4/3 × π × 23
Radius of sphere = 1 cm
∴ Volume of sphere = 4/3 × π × 13
∴ Total volume,
⇒ 4/3 × π × 33 + 4/3 × π × 23 + 4/3 × π × 13
⇒ 4/3 × π × (27 + 8 + 1)
⇒ 48π
25% of the volume = 48π × ¼ = 12π
∴ Remaining material = 48π - 12π = 36π
Let, radius of new sphere = r
According to problem,
⇒ 4/3 × π × r3 = 36π
⇒ r3 = 36 × ¾
⇒ r3 = 27
⇒ r = 3
∴ radius of the new ball = 3 cm
29 boys are standing in a line such that distance between any two consecutive boys is same. A teacher takes 7 seconds to reach from first boy to 15thboy. How much more time (in seconds) will he take to reach the 22nd boy?
2.5
3
3.5
4
Correct answer
3.5
Why this answer is correct
Let, distance between each boy = x
∴ Distance from first to 15th boy = 14x
∴ Distance from 15th to 22nd boy = 7x
∴ 14x distance covered in = 7 sec
∴ 7x distance covered in = 7/14x × 7x = 3.5 sec
If tan𝜃 = 1/√13 and 𝜃 is acute, then what is the value of \(\frac{{cose{c^2}\theta - se{c^2}\theta }}{{cose{c^2}\theta + se{c^2}\theta }}?\)
2/3
3/4
5/6
6/7
Correct answer
6/7
Why this answer is correct
\(\therefore \frac{{cose{c^2}\theta - se{c^2}\theta }}{{cose{c^2}\theta + se{c^2}\theta }}\)
\(\Rightarrow \frac{{1 - ta{n^2}\theta }}{{1 + ta{n^2}\theta }};\)[multiplying sin2𝜃]
\(\Rightarrow \frac{{1 - \frac{1}{{13}}}}{{1 + \frac{1}{{13}}}}\)
⇒ 12/14
⇒ 6/7
In ΔPQR, PQ = PR and the value of ∠QPR is equal to half of external angle at R. What is the value (in degrees) of ∠QPR?
30
45
60
75
Correct answer
60
Why this answer is correct
Let, external angle at R = x°
∴ ∠QPR = (x/2)°
∴ ∠PRQ = (180 - x)°
∴ ∠PQR = (180 - x)°
According to problem,
⇒ x/2 + 180 - x + 180 - x = 180
⇒ 3x/2 = 180
⇒ x = 120
∴ ∠QPR = (x/2)° = 120/2 = 60°
If x + (1/x) = 5, then what is the value of x8 + (1/x8)?
623
627
277727
12102
Correct answer
277727
Why this answer is correct
⇒ x + 1/x = 5
⇒ (x +1/x)2 = 25
⇒ x2 + 1/x2 + 2 = 25
⇒ x2 + 1/x2 = 23
⇒ (x2 + 1/x2)2 = 232
⇒ x4 + 1/x4 + 2 = 529
⇒ x4 + 1/x4 = 527
⇒ (x4 + 1/x4)2 = 5272
⇒ x8 + 1/x8 + 2 = 277729
⇒ x8 + 1/x8 = 277727
A boy added all natural numbers from 1 to 10, however he added one number twice due to which the sum becomes 58. What is the number which he added twice?
3
4
7
8
Correct answer
3
Why this answer is correct
Given:
A boy added all natural numbers from 1 to 10,
Also, he added a certain number twice.
Calculations:
Let, the number he added twice = x
Sum of all natural numbers from 1 to 10,
⇒ 10 × (10 + 1)/2
⇒ 55
According to problem,
⇒ 55 + x = 58
⇒ x = 3
∴ The number he added twice = 3
If \(\frac{{si{n^2}\theta }}{{1 + co{s^2}\theta }} + \frac{{si{n^2}\theta }}{{1 - co{s^2}\theta }} = \frac{8}{5}\) and 𝜃 is acute, then what is the value of 𝜃?
0
30
45
60
Correct answer
60
Why this answer is correct
\(\begin{array}{l} \Rightarrow \frac{{si{n^2}\theta }}{{1 + co{s^2}\theta }} + \frac{{si{n^2}\theta }}{{1 - co{s^2}\theta }} = \frac{8}{5};\ \Rightarrow \frac{{si{n^2}\theta }}{{1 + co{s^2}\theta }} + 1 = \frac{8}{5}\ \Rightarrow \frac{{1 - co{s^2}\theta }}{{1 + co{s^2}\theta }} = \frac{3}{5} \end{array}\)
⇒ 3 + 3 cos2𝜃 = 5 - 5 cos2𝜃
⇒ 8 cos2𝜃 = 2
⇒ cos2𝜃 = ¼
⇒ cos 𝜃 = ½
⇒ 𝜃 = 60
Number of players playing hockey in 2015 is what percent of total players playing all the three games in 2015?
27.77
33.33
22
28
Correct answer
27.77
Why this answer is correct
No. of players playing cricket in 2015 = 300
No. of players playing football in 2015 = 350
No. of players playing hockey in 2015 = 250
∴ total number of players playing all three games in 2015,
⇒ 300 + 350 + 250
⇒ 900
∴ Required percentage,
⇒ 250/900 × 100%
⇒ 27.77%
A certain sum becomes Rs 840 in 3 years and Rs 1200 in 7 years at simple interest. What is the value (in Rs.) of principal?
520
570
620
670
Correct answer
570
Why this answer is correct
Let, principal = Rs. x
Rate = r%
According to problem,
⇒ 840 - x = (x × r × 3)/100
⇒ 840 - x = 3xr/100
⇒ xr/100 = 280 - x/3 ……. (1)
According to problem,
⇒ 1200 - x = (x × r × 7)/100
⇒ 1200 - x = 7xr/100
⇒ xr/100 = 1200/7 - x/7 …….. (2)
From (1) and (2) we get,
⇒ 1200/7 - x/7 = 280 - x/3
⇒ x/3 - x/7 = 280 - 1200/7
⇒ (7x - 3x)/21 = (1960 - 1200)/7
⇒ 4x/21 = 760/7
⇒ 4x = 760 × 3
⇒ x = 570
ALTERNATE SOLUTION:
Let the principal be P
SI after 3 years = 840 - P
SI after 7 years = 1200 - P
According to question, P is constant
(840 - P) × 100/(R × 3) = (1200 - P) × 100/(R × 7)
7 × (840 - P) = 3 × (1200 - P)
5880 - 7P = 3600 - 3P
4P = 2280
P = 570
How much they spend (in Rs.) on clothes?
150000
180000
200000
240000
Correct answer
150000
Why this answer is correct
Total expense = 360°
Expense on clothes = 50°
Let, expense on cloth = Rs. x
According to problem,
⇒ 50/360 = x/108000
⇒ x = 1080000 × 5/36
⇒ x = 150000
∴ They spent on cloths = Rs. 150000
In ∆ABC, ∠A : ∠B : ∠C = 5 : 4 : 1. What is the value (in degrees) of ∠B + ∠C?
50
70
90
100
Correct answer
90
Why this answer is correct
∠A : ∠B : ∠C = 5 : 4 : 1
Let, ∠A = 5x°, ∠B = 4x° and ∠C = x°
According to problem,
⇒ 5x + 4x + x = 180
⇒ 10x = 180
⇒ x = 18
∴ ∠B + ∠C
⇒ 4x° + x°
⇒ 72 + 18°
⇒ 90°
If cosec2𝜃 = 25/16 and 𝜃 is acute, then what is the value of √(cot𝜃+tan𝜃)?
√3/2
5/2√3
12/√3
2√3/3
Correct answer
5/2√3
Why this answer is correct
⇒ cosec2𝜃 = 25/16
⇒ cosec𝜃 = 5/4 [∵ 𝜃 is acute]
⇒ sin𝜃 = 4/5
⇒ cos𝜃 = √(1 - 16/25)
⇒ cos𝜃 = 3/5
∴ √(cot𝜃 + tan𝜃)
\(\begin{array}{l} \Rightarrow \sqrt {\frac{{sin\theta }}{{cos\theta }} + \frac{{cos\theta }}{{sin\theta }}} \ \Rightarrow \sqrt {\frac{{si{n^2}\theta + co{s^2}\theta }}{{sin\theta cos\theta }}} \end{array}\)
\(\begin{array}{l} \Rightarrow \frac{1}{{\sqrt {\left[ {\left( {\frac{4}{5}} \right) \times \left( {\frac{3}{5}} \right);} \right]} }}\ \Rightarrow \frac{5}{{2\sqrt 3 }} \end{array}\)
If a certain sum becomes 2 times in 5 years at compound interest, then in how many years, it will become 8 times?
10
20
15
30
Correct answer
15
Why this answer is correct
Let,
Principal = P
Rate = r%
In first case,
Amount = 2P.
Rate = r%
Time = 5 years.
∴ 2P = P[1 + (r/100)]5 [∵ A = P × [1 + (r/100)]n; A = amount, P = principal, r = rate, n = no. of year]
⇒ 2 = [1 + (r/100)]5 ......... (1)
In second case,
Let, sum become 8 times in the time n years,
Amount = 8P
Time = n years
∴ 8 = (1 + (r/100))n
⇒ 23 = [1 + (r/100)]n ....... (2)
Using eqn. (1) and (2), we get;
⇒ ([1 + (r/100)]5)3 = (1 + (r/100))n
⇒ [1 + (r/100)]15 = (1 + (r/100))n
Thus, n = 15 years
The average of 4 consecutive even numbers is 51. What is the third number?
46
52
54
56
Correct answer
52
Why this answer is correct
Let, the even numbers are = x, x + 2, x + 4, x + 6
According to problem,
⇒ x + x + 2 + x + 4 + x + 6 = 51×4
⇒ 4x + 12 = 204
⇒ 4x = 192
⇒ x = 48
Three bottles of equal capacity contain a mixture of milk and water in ratio 2 : 3, 3 : 5 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What is the ratio of milk and water respectively in the large bottle?
439 : 1080
439 : 641
439 : 360
439 : 79
Correct answer
439 : 641
Why this answer is correct
Let, capacity of each bottle = x
Ratio of milk and water in first bottle = 2 ∶ 3
∴ Quantity of milk in first bottle = 2x/5
∴ Quantity of water in first bottle = 3x/5
Ratio of milk and water in second bottle = 3 ∶ 5
∴ Quantity of milk in second bottle = 3x/8
∴ Quantity of water in second bottle = 5x/8
Ratio of milk and water in third bottle = 4 ∶ 5
∴ Quantity of milk in third bottle = 4x/9
∴ Quantity of water in third bottle = 5x/9
∴ Total quantity of milk,
⇒ 2x/5 + 3x/8 + 4x/9
⇒ (144x + 135x + 160x)/360
⇒ 439x/360
∴ Total quantity of water,
⇒ 3x/5 + 5x/8 + 5x/9
⇒ (216x + 225x + 200x)/360
⇒ 641x/360
∴ the ratio of milk and water respectively in the large bottle,
⇒ 439x/360 ∶ 641x/360
⇒ 439 ∶ 641
The perimeter of base of a right circular cone is 88 cm. If the height of the cone is 48 cm, then what is the curved surface area (in cm2) of the cone?
550
1100
2200
2700
Correct answer
2200
Why this answer is correct
Let, radius of base = r cm
According to problem,
⇒ 2πr = 88
⇒ r = 88 × 7/22 × ½
⇒ r = 14 cm
∴ radius, r = 14 cm and height, h = 48 cm
∴ slant height, l = √(142 + 482) = √(196 + 2304) = 50 cm
∴ Curved surface area,
⇒ πrl
⇒ 22/7 × 14 × 50
⇒ 2200
If cosec2𝜃 - 1 = 144/25 and 𝜃 is acute then what is the value of √(cot𝜃 + tan𝜃)?
6/13
4√3/13
2√3/15
13/2√15
Correct answer
13/2√15
Why this answer is correct
⇒ cosec2𝜃 - 1 = 144/25
⇒ cot2𝜃 = 144/25
⇒ cot𝜃 = 12/5
∴ tan𝜃 = 5/12
∴ √(cot𝜃 + tan𝜃)
⇒ √(12/5 + 5/12)
⇒ √[(144 + 25)/60]
⇒ 13/2√15
A and B together can complete a work in 20 days. They started together but after 4 days A left the work. The remaining work was completed by B alone in 24 more days. In how many days can A complete the entire work alone?
75
25
45
60
Correct answer
60
Why this answer is correct
(A + B) can complete a work in = 20 days
∴ (A+B)’s 1 day’s work = 1/20 …… (1)
∴ (A+B)’s 4 day’s work = 4/20 = 1/5
∴ Remaining work = 1 - 1/5 = 4/5
∴ B completes 4/5 work in = 24 days
∴ B can complete the work in = 24 × 5/4 = 30 days
∴ B’s 1 day’s work = 1/30 …… (2)
From (1) and (2) we get,
A’s 1 day’s work,
⇒ 1/20 - 1/30
⇒ (3 - 2)/60
⇒ 1/60
∴ A can complete the work in = 60 days
Ram is five times as efficient as Rohit. Ram can complete a work in 60 days less than Rohit. If both of them work together then in how many days the work would be completed?
10
12.5
15
20
Correct answer
12.5
Why this answer is correct
Let, efficiency of Rohit = x/day and efficiency of Ram = 5x/day
Let, Rohit can complete the work in = y days
∴ Ram can complete the work in = (y - 60) days
According to problem,
⇒ x × y = 5x × (y – 60)
⇒ y = 5y – 300
⇒ 4y = 300
⇒ y = 75
Let, when they work together they can complete the work in = z days
According to problem,
⇒ x × 75 = (x + 5x) × z
⇒ 75 = 6z
⇒ z = 12.5
∴ when they work together they can complete the work in = 12.5 days
Alternate Method
Given:
Ram is five times as efficient as Rohit
Let, efficiency of Rohit = x/day and efficiency of Ram = 5x/day
Ram can complete a work in 60 days less than Rohit.
It means, 5x - x = 60
4x = 60
x = 15 days
Therefore, Rohit takes 15 days and Ram takes 75 days
! day of work compleed in
\(\frac{1}{15}+\frac{1}{75}=\frac{2}{25}\) days
So, total work completed in \(\frac{25}{2}\) days
If length of a rectangle is increased by 20% and breadth is increased by 30%, then what will be the percentage increase in the area of rectangle?
50
46
56
62
Correct answer
56
Why this answer is correct
Let, original length = x and breadth = y
∴ Original area = xy
After 20% increase, length = x + x × 20/100 = 1.2x
After 30% increase, breadth = y + y × 30/100 = 1.3y
∴ New area = 1.2x × 1.3y = 1.56xy
∴ Percentage increase,
⇒ (1.56xy – xy)/xy × 100%
⇒ 0.56 × 100%
⇒ 56%
Two cars are travelling towards each other with speeds of 45 km/hr and 63 km/hr respectively. What is the distance (in kilometres) between the two cars ten second before they collide?
0.5
0.2
0.3
0.45
Correct answer
0.3
Why this answer is correct
Relative speed of the cars = (45 + 63) = 108 km/h
∴ In 1 hour distance covered = 108 km
∴ In 1 sec distance covered = 108/3600
∴ In 10 sec distance covered = 108 × 10/3600 = 0.3
∴ The distance (in kilometres) between the two cars ten second before they collide,
⇒ 0.3 km
Simplify \(\left( {x + \frac{1}{x}} \right)\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\left( {{x^4} + \frac{1}{{{x^4}}}} \right)\left( {{x^8} + \frac{1}{{{x^8}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)?\)
\(\frac{{\left( {{x^{32}} - \frac{1}{{{x^{32}}}}} \right)}}{{x - \frac{1}{x}}}\)
\(\frac{{\left( {{x^8} - \frac{1}{{{x^8}}}} \right)}}{{x - \frac{1}{x}}}\)
\(\frac{{\left( {{x^{64}} - \frac{1}{{{x^{64}}}}} \right)}}{{x - \frac{1}{x}}}\)
\(\frac{{\left( {{x^{16}} - \frac{1}{{{x^{16}}}}} \right)}}{{x - \frac{1}{x}}}\)
Correct answer
\(\frac{{\left( {{x^{32}} - \frac{1}{{{x^{32}}}}} \right)}}{{x - \frac{1}{x}}}\)
Why this answer is correct
\(\begin{array}{l} \Rightarrow \left( {x + \frac{1}{x}} \right)\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\left( {{x^4} + \frac{1}{{{x^4}}}} \right)\left( {{x^8} + \frac{1}{{{x^8}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)\ \Rightarrow \frac{{\left[ {\left( {x - \frac{1}{x}} \right)\left( {x + \frac{1}{x}} \right)\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\left( {{x^4} + \frac{1}{{{x^4}}}} \right)\left( {{x^8} + \frac{1}{{{x^8}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)} \right]}}{{x - \frac{1}{x}}}\ \Rightarrow \frac{{\left[ {\left( {{x^2} - \frac{1}{{{x^2}}}} \right)\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\left( {{x^4} + \frac{1}{{{x^4}}}} \right)\left( {{x^8} + \frac{1}{{{x^8}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)} \right]}}{{x - \frac{1}{x}}}\ \Rightarrow \frac{{\left[ {\left( {{x^4} - \frac{1}{{{x^4}}}} \right)\left( {{x^4} + \frac{1}{{{x^4}}}} \right)\left( {{x^8} + \frac{1}{{{x^8}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)} \right]}}{{x - \frac{1}{x}}}\ \Rightarrow \frac{{\left[ {\left( {{x^8} - \frac{1}{{{x^8}}}} \right)\left( {{x^8} + \frac{1}{{{x^8}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)} \right]}}{{x - \frac{1}{x}}}\ \Rightarrow \frac{{\left[ {\left( {{x^{16}} - \frac{1}{{{x^{16}}}}} \right)\left( {{x^{16}} + \frac{1}{{{x^{16}}}}} \right)} \right]}}{{x - \frac{1}{x}}}\ \Rightarrow \frac{{{x^{32}} - 1/{x^{32}}}}{{x - \frac{1}{x}}}; \end{array}\)
If diagonals of a rhombus are 36 cm and 48 cm, then what is the perimeter (in cm) of the rhombus?
30
60
120
240
Correct answer
120
Why this answer is correct
AC and BD bisects each other perpendicularly.
AC = 36 cm
∴ AO = 36/2 = 18 cm
BD = 48 cm
∴ BO = 48/2 = 24 cm
In ΔABO we have,
∠AOB = 90°
AO = 18 cm
BO = 24 cm
∴ AB = √(182 + 242) = √(324 + 576) = √900 = 30 cm
∴ Perimeter of the rhombus = 4 × 30 = 120 cm
A, B and C are partners and invest in a business. A invests 1/5th of total and B invests 1/4th of the total. What is the ratio of profit of A, B and C respectively?
5 : 4 : 9
5 : 4 : 1
4 : 5 : 1
4 : 5 : 11
Correct answer
4 : 5 : 11
Why this answer is correct
Given:
A, B and C are partners and invest in a business.
A invests 1/5th of total and B invests 1/4th of the total.
Concept used:
Selling price = Cost price + Cost price × Profit%
Calculation:
Let, total investment = x
A’ investment = x/5
B’s investment = x/4
C’s investment,
⇒ x – x/5 - x/4
⇒ (20x - 4x - 5x)/20
⇒ 11x/20
The ratio of profit of A, B and C respectively,
⇒ (x/5) ∶ (x/4) ∶ (11x/20)
⇒ (1/5 × 20) ∶ (1/4 × 20) ∶ (11/20 × 20)
⇒ 4 ∶ 5 ∶ 11
∴ The ratio of profit of A, B and C is 4 ∶ 5 ∶ 11.
A cuboid of sides 9 cm, 27 cm and 24 cm is melted to form a cube. What is the ratio between the total surface area of the cuboid and that of the cube?
41 : 35
41 : 36
47 : 38
49 : 36
Correct answer
41 : 36
Why this answer is correct
Sides of a cuboid 9 cm, 27 cm and 24 cm
∴ Total surface area of cuboid,
⇒ 2(9 × 27 + 27 × 24 + 24 × 9)
⇒ 2(243 + 648 + 216)
⇒ 2 × 1107
⇒ 2214 sq. cm
∴ Volume of cuboid,
⇒ 9 × 27 × 24
⇒ 5832 cubic cm.
Let, side of cube = a cm
According to problem,
⇒ a3 = 5832
⇒ a = 18
∴ side of cube = 18 cm
∴ Total surface area of cube,
⇒ 6 × 182
⇒ 6 × 324
⇒ 1944
∴ Required ratio,
⇒ 2214 ∶ 1944
⇒ 41 ∶ 36
What is the average of first 17 odd numbers?
16
17
18
19
Correct answer
17
Why this answer is correct
Sum of first 17 odd numbers = (1 + 3 + 5 …… till 17 terms)
The sequence is in Arithmetic Progression.
First term = 1
Common difference = 2
No. of terms = 17
∴ Sum \(= \frac{{17}}{2}\left[ {2 \times 1 + \left( {17 - 1} \right) \times 2} \right]\)
⇒ 17/2 × 34
⇒ 289
∴ the average of first 17 odd numbers,
⇒ 289/17
⇒ 17
Which one among \(\sqrt[3]{6},;\sqrt 5 ;and;\sqrt[6]{{12}}\) is the largest ?
\(\sqrt[3]{6}\)
\(\sqrt 5 \)
\(\sqrt[6]{{12}}\)
All are equal
Correct answer
\(\sqrt 5 \)
Why this answer is correct
\(\begin{array}{l} \Rightarrow \sqrt[3]{6} = {\left( 6 \right)^{1/3}} = {\left( 6 \right)^{4/12}} = {({6^4})^{1/12}} = ;{\left( {1296} \right)^{1/12}};\ \Rightarrow \sqrt 5 = {\left( 5 \right)^{1/2}} = {\left( 5 \right)^{6/12}} = {({5^6})^{1/12}} = {\left( {15625} \right)^{1/12}};\ \Rightarrow \sqrt[6]{{12}} = {\left( {12} \right)^{1/6}} = {\left( {12} \right)^{2/12}} = {({12^2})^{1/12}} = {\left( {144} \right)^{1/12}} \end{array}\)
∴ We can see the largest number is \(= \sqrt 5\)
Total number of players in 2015 is what percent of total number of players in 2016?
75
112.5
141.11
150
Correct answer
150
Why this answer is correct
No. of players playing cricket in 2015 = 300
No. of players playing football in 2015 = 350
No. of players playing hockey in 2015 = 250
∴ total number of players playing all three games in 2015,
⇒ 300 + 350 + 250
⇒ 900
No. of players playing cricket in 2016 = 200
No. of players playing football in 2016 = 250
No. of players playing hockey in 2016 = 150
∴ total number of players playing all three games in 2016,
⇒ 200 + 250 + 150
⇒ 600
∴ Required percentage,
⇒ 900/600 × 100%
⇒ 150%
An article is sold for Rs 4080 after a discount of 15%. What is the marked price (in Rs) of the article?
4600
4800
4950
5150
Correct answer
4800
Why this answer is correct
Let, the marked price = Rs. x
Discount = 15%
∴ Selling price = Rs. (x – x × 15/100) = 0.85x
According to problem,
⇒ 0.85x = 4080
⇒ x = 4080/0.85
⇒ x = 4800
∴ The marked price of the article = Rs. 4800
If sec2 θ - sec θ = 1, then what is the value of (tan12 θ - 3 tan10 θ + 3 tan8 θ - tan6 θ)?
-1
0
1
2
Correct answer
1
Why this answer is correct
According to equation,
sec2 θ - sec θ = 1
1 + tan2 θ = 1 + sec θ
tan2 θ = sec θ ---- eq (1)
now Given
tan12 θ - 3 tan10 θ + 3 tan8 θ - tan6 θ = (tan4 θ - tan2 θ)3
now put values from equation 1
(sec2 θ - sec θ)3 = 13 = 1
Rohit buys an old bat for Rs. 1230 and spends Rs. 180 on its repairs. If he sells it for Rs. 1128, then what is his loss percentage?
12.5
15
20
25
Correct answer
20
Why this answer is correct
Total cost price of the bat = Rs. (1230 + 180) = Rs. 1410
Selling price of the bat = Rs. 1128
∴ Loss percentage,
\( \Rightarrow \frac{{1410 - 1128}}{{1410}} \times 100%\)
⇒ 282/1410 × 100%
⇒ 20%
A trader sells two articles for Rs 1875 each. If he gains 25% on one and losses 25% on other, then what is the value (in Rs) of the loss?
150
250
400
500
Correct answer
250
Why this answer is correct
When he gains 25%, let cost price = Rs. x
According to problem,
⇒ x + x × 25/100 = 1875
⇒ 1.25x = 1875
⇒ x = 1875/1.25
⇒ x = 1500
∴ Cost price = Rs. 1500
When he losses 25%, let cost price = Rs. y
According to problem,
⇒ y – y × 25/100 = 1875
⇒ 0.75y = 1875
⇒ y = 2500
∴ Cost price = Rs. 2500
∴ Total cost price = Rs. (1500 + 2500) = Rs. 4000
∴ Total selling price = Rs. (2 × 1875) = Rs. 3750
∴ Loss = Rs. (4000 – 3750) = Rs. 250
Income of the family in the year 2015 was 20% less than that in the year 2016 and the ratio of their savings in 2015 and 2016 is 2 : 5. Approximately what percentage they saved in the year 2015?
6.17
4.16
3.24
5.66
Correct answer
4.16
Why this answer is correct
Income in 2016 = Rs. 1080000
Savings = 30°
∴ savings = 1080000 × 30/360 = Rs. 90000
∴ Income in 2015 = 1080000 × (1 - 20/100) = Rs. 864000
∴ Savings in 2015 = 90000 × 2/5 = Rs. 36000
∴ Required percentage,
⇒ 36000/864000 × 100%
⇒ 4.16%
Improve the bracketed part of the sentence.
Neha was too clever to (see through Rohan's tricks).
see at Rohan's tricks.
see into Rohan's tricks.
see Rohan's tricks.
no improvement
Correct answer
no improvement
Why this answer is correct
The phrase ‘see through’ means ‘understand something implied or indirect.’ The sentence has been structured correctly. Thus option 4 is the correct answer.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
Government by a few people
aristocracy
oligarchy
dictatorship
bureaucracy
Correct answer
oligarchy
Why this answer is correct
The meanings of the words are:
Aristocracy=> the highest class in certain societies, typically comprising people of noble birth holding hereditary titles and offices.
Oligarchy=> a small group of people having control of a country or organization
Dictatorship=> absolute rule
Bureaucracy=> a system of government in which most of the important decisions are taken by state officials rather than by elected representatives.
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.
To struggle helplessly
Implorer
Yokel
Flounder
Chum
Correct answer
Flounder
Why this answer is correct
The meanings of the words are:
Implorer=> one who begs
Yokel=> an uneducated and unsophisticated person from the countryside.
Flounder=> struggle or stagger clumsily
Thus option 3 is the correct answer.
Improve the bracketed part of the sentence.
I am definitely late, the bus (will have left) the bus stop by the time I reach there.
would have left
will be leaving
will leave
no improvement
Correct answer
no improvement
Why this answer is correct
The correct answer is option 4).
In the given sentence, we are looking back from the present so, "will have" should be used here.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
The state of living unmarried
celibacy
neogamist
chaperon
implorer
Correct answer
celibacy
Why this answer is correct
The meanings of the words are:
Celibacy=> the state of abstaining from marriage and sexual relations.
Neogamist=> A person recently married
Chaperon=> a person who accompanies and looks after another person or group of people.
Implorer=> one who begs
Thus option 1 is the correct answer.
Improve the bracketed part of the sentence.
He has been working (off and on) for several years on this theory.
regularly
on or off
on and of
no improvement
Correct answer
no improvement
Why this answer is correct
The correct phrase is ‘off and on’ which means ‘intermittently; sometimes.’
The other options are incorrect. Thus option 4 is the correct answer.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
An event which happens once in five years
septennial
quinquennial
interregnum
pun
Correct answer
quinquennial
Why this answer is correct
The meanings of the words are:
Septennial=> lasting for or relating to a period of seven years.
Quinquennial=> recurring every five years.
Interregnum=> a period when normal government is suspended, especially between successive reigns or regimes.
Pun=> a humorous use of a word or phrase that has several meanings or that sounds like another word
Thus option 2 is the correct answer.
Improve the bracketed part of the sentence.
The guest stood quietly for (few) moments.
a few
the few
few time
no improvement
Correct answer
a few
Why this answer is correct
‘Few’ means ‘almost nothing or none’ which does not make any sense here. ‘A few’ means ‘small or a small amount’. It means that the guest stood quietly for some moments. Option 3 is grammatically incorrect.
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
A person who looks after horses at an inn
Matron
Chandler
Ostler
Effeminate
Correct answer
Ostler
Why this answer is correct
The meanings of the words are:
Matron=> a woman in charge of domestic and medical arrangements at a boarding school or other institution.
Chandler=> a dealer in supplies and equipment for ships and boats.
Ostler=> a man employed to look after the horses of people staying at an inn.
Effeminate=> having womanly characteristics
Thus option 3 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.
Youth is the _____ gift of the god, says an old "upanishad". Let us _____ in it. It is the great formative _____ of our life, brief but powerful. We are then able to _____ the world with feelings pure and with _____ unworldly.
It is the great formative _____ of our life, brief but powerful.
lesson
resource
period
idea
Correct answer
period
Why this answer is correct
The word ‘lesson’ means ‘a teaching’ and youth is not a lesson. The word ‘resource’ means ‘a stock or supply of money, materials, staff, and other assets that can be drawn on by a person or organization in order to function effectively’ and makes no sense here. The word ‘period’ which means ‘a length or portion of time’ and fits here correctly. The word ‘idea’ means ‘a thought or suggestion as to a possible course of action’ and does not convey any meaning here. Thus option 3 is the correct answer
then able to _____ the world with feelings pure
challenge
roam
target
face
Correct answer
face
Why this answer is correct
The word ‘challenge’ is a misfit here as nothing challenging is mentioned in the context. The word ‘roam’ means ‘wander’ and makes no sense here. The word ‘target’ means ‘aim’ and does not fit here. The word ‘face’ means ‘tackle or deal with’ and conveys a proper meaning that we can face the world with pure feelings.
Youth is the _____ gift of the god,
inexpessive
best
useless
small
Correct answer
best
Why this answer is correct
The word here must have a positive meaning as can be understood from the sentence. Thus ‘best’ fits here and ‘useless’ would be wrong here. The word ‘inexpensive’ means ‘cheap’ and does not fit here. Thus option 2 is the correct answer.
Let us _____ in it.
rejoice
live
dance
sleep
Correct answer
rejoice
Why this answer is correct
The word here should be such that it goes with the preposition ‘in’. Thus ‘rejoice’ which means ‘to celebrate’ fits here. The other words make no sense if used with ‘in.’ Thus option 1 is the correct answer.
feelings pure and with _____ unworldly.
ambitions
passively
religiously
resources
Correct answer
ambitions
Why this answer is correct
The word here must be a noun as can be understood from the sentence. Thus the adverbs ‘passively’ and ‘religiously’ are eliminated. Thus either 1 or 4 will fit here.The meanings of the words are:
Ambitions=> aims
Passively=> in an accepting manner, without active response or resistance
Religiously=> in a way that relates to or conforms with a religion.
Resources=> a stock or supply of money, materials, staff, and other assets that can be drawn on by a person or organization in order to function effectively.
Thus option 1 is the correct answer.
The sentence talks about feelings and humane objects thus ‘ambitions’ fits in the context. ‘Resources’ is incorrect here.
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.
Antarctica is a mostly unpopulated continent. It is the coldest, driest and most remote place in the world. And it is the world's only continent that does not have a native population. No single country owns the Antarctic. However, a number of countries, including Argentina, Australia, Chile, NewZealand, France and the United Kingdom, have already laid claim to the Antarctic and others will probably follow. In some areas of the continent, two countries claim the same land. The Antarctic Treaty was signed in 1959 and creates the rules for the exploration of the Antarctic. The treaty forbids military activity in the Antarctic, as well as mining. Many countries, however, think that there are valuable materials and minerals locked up under the frozen Antarctic ice. In addition, the treaty bans nuclear testing as well as dumping nuclear waste. The Antarctic Treaty was made to protect the continent and avoid further disputes. By 2048, the treaty must be renewed. New rules and regulations could be imposed by then. Currently, almost all of the 70 bases in the Antarctic are used for research and scientific activity. The snow-covered continent is perfect for tracking satellites and space research because it offers clear blue, cloudless skies. Climatologists are studying the development of the ozone layer with growing concern. It was here that a hole in the layer was discovered for the first time. More than 4000scientists operate the research stations in the Antarctic summer, while only about a thousand populate the continent during the harsh and severe winters. Environmentalists fear that exploiting Antarctica for military and economic reasons will damage the environment. At present, there is no economic activity in Antarctica, except for cruise ships that travel around the continent. This could change if a new treaty allows mining in the Antarctic. As mineral resources are dwindling in other areas, nations could turn to Antarctica to find and exploit valuable raw materials. Some geologists say that there are over 200 billion barrels of oil under the Antarctic ice. At the moment getting at these reserves would be very expensive. In addition, economic experts claim that there are large amounts of coal, nickel and copper under the Antarctic ice.
Why did environmentalists have fear of exploiting Antarctica for military and economic reasons?
unfavourable weather conditions
high involvement of cost
damage to environment
None of these
Correct answer
damage to environment
Why this answer is correct
It is mentioned in the passage '
Environmentalists fear that exploiting Antarctica for military and economic reasons will damage the environment.' Thus option 3 is the correct answer.
According to the passage, the reserves of which mineral is not found under the Antarctic ice?
coal
iron
nickel
copper
Correct answer
iron
Why this answer is correct
It is mentioned in the passage ‘In addition, economic experts claim that there are large amounts of coal, nickel and copper under the Antarctic ice.’ Thus option 2 is the correct answer as ‘iron’ is not mentioned.
Why was Antarctic Treaty signed?
to protect the continent
to ban dumping of nuclear waste
to create rules for its exploration
All of these.
Correct answer
All of these.
Why this answer is correct
It is mentioned in the passage that the treaty was signed to protect the continent, to prevent all sorts of harmful human activities and to set up rules for exploration. Thus option 4 is the correct answer.
When was the Antarctic Treaty signed?
1959
1958
1960
1969
Correct answer
1959
Why this answer is correct
It is mentioned in the passage ‘The Antarctic Treaty was signed in 1959 and creates the rules for the exploration of the Antarctic.’ Thus option 1 is the correct answer.
Which country's name is not mentioned in the passage?
Argentina
Chile
New Zealand
Austria
Correct answer
Austria
Why this answer is correct
The country ‘Austria’ has not been mentioned in the passage. The other countries are mentioned in the following sentence:’ However a number of countries, including Argentina, Australia, Chile, New Zealand, France and the United Kingdom, have already laid claim to the Antarctic and others will probably follow’
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Chastise
Praise
Resist
Prefer
Repel
Correct answer
Praise
Why this answer is correct
The word ‘chastise’ means ‘to criticize or rebuke.’ The other words mean as follows:
Praise=> laud or worship
Resist=> withstand the action or effect of
Prefer=> like (one thing or person) better than another or others; tend to choose
Repel=> loathe
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.
Daunt
Rejoice
Encourage
Decrease
Discard
Correct answer
Encourage
Why this answer is correct
The word ‘daunt’ means ‘demoralize or discourage’. The other words mean as follows:
Rejoice=> celebrate
Encourage=> support
Decrease=> reduce
Discard=> reject
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
Compendium
Expansion
Reference
Precis
Outline
Correct answer
Expansion
Why this answer is correct
The word ‘compendium’ means ‘collection or compilation’. The other words mean as follows:
Expansion=> enhancement
Reference=> the action of mentioning or alluding to something
Precis=> a summary or abstract of a text or speech.
Outline=> border
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.
Oblivious
Hideous
Victorious
Conscious
Advantageous
Correct answer
Conscious
Why this answer is correct
The word ‘oblivious’ means ‘unaware.’ The meanings of the other words are:
Hideous=> extremely ugly
Victorious=> having won a victory; triumphant.
Conscious=> aware
Advantageous=> beneficial
Thus option 3 is the correct antonym.
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Bucolic
Rustic
Dull
Tranquil
Fierce
Correct answer
Fierce
Why this answer is correct
The word ‘bucolic’ means ‘relating to the pleasant aspects of the countryside and country life.' The other words mean as follows:
Rustic=> relating to the ountryside; rural.
Dull=> boring
Tranquil=> peaceful
Fierce=> ferocious
Thus option 4 is the correct antonym.
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.
No _____ than fifteen boys failed in a class of forty.
Little
Less
Few
Fewer
Correct answer
Fewer
Why this answer is correct
The noun ‘boys’ here is countable so ‘few’ or ‘fewer’ are applicable here. Options 1 and 2 are used for uncountable nouns. The word ‘fewer’ is correct here as the structure of ‘no..than’ always has the adjective in comparative form.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
To carry the day
To run away
To die while in service
To take an unimportant task
To succeed
Correct answer
To succeed
Why this answer is correct
The idiom ‘to carry the day’ means ‘to succeed.’ After spending weeks constructing my project, I was thrilled to carry the day at the science fair.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Get into a soup
To make things difficult
To be worrisome
To be familiar of
To get an advantage
Correct answer
To make things difficult
Why this answer is correct
The idiom ‘get into a soup’ means ‘to get into trouble.’ Thus 1 is the correct answer. He got into a soup when the teacher caught him using the cell phone in class.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Go over
Continue
Review
Harmonize
Terminate
Correct answer
Review
Why this answer is correct
The idiom ‘go over’ means ‘review.’ He went over my science project and explained certain parts to me.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
An iron will
A widely debated issue
A fair bargain
An impracticable plan
A firm opinion
Correct answer
A firm opinion
Why this answer is correct
The idiom ‘an iron will’ means ‘a fixed decision or a firm opinion.’ He had the ‘iron will’ to get to the top of the hill.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Haul over the coals
Talk irrelevantly
Laugh heartily
To scold
Without hope
Correct answer
To scold
Why this answer is correct
The idiom ‘haul over the coals’ means ‘to scold.’ Taylor was hauled over the coals for wasting police time.
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'.
Several visitors are (1)/ expected to visit the (2)/ trade fair this weekend. (3)/ No Error (4)
1
2
3
4
Correct answer
4
Why this answer is correct
The correct answer is No Error.
Key Points
Therefore, the correct answer is Option 4.
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.
Her supporters began to _____ and she was left alone.
Fall over
Fall away
Fall off
Fall on
Correct answer
Fall away
Why this answer is correct
The meanings of the phrasal verbs are:
Fall over=> fall to the ground
Fall away=> reduced
Fall off=> a decrease in something.
Fall on=> depend
Thus option 2 fits here meaning that the supporters began to decrease.
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'.
During India's struggle for (1)/ freedom many brilliant students (2)/ gave up their studies by Bhagat Singh's call. (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 preposition ‘by’ is incorrect and must be replaced with ‘on’ to convey the correct meaning.
By=> in a particular way or means of
On=> as something takes place
It should read as ‘gave up their studies on Bhagat Singh’s call.’
In the following question, the sentence given with blank is to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Suraj is acquainted _____ Kapil.
Of
With
From
To
Correct answer
With
Why this answer is correct
The correct preposition here is ‘with’ as someone is ‘acquainted’ with someone. It means ‘knowing or being familiar with a person.’ The other prepositions are incorrect here. 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.
Sania was compensated _____ the loss of her belongings at the airport.
For
Of
Against
Over
Correct answer
For
Why this answer is correct
The correct preposition here is ‘for’ as someone or something is compensated ‘for’ something. ‘Compensated for’ means ‘give (someone) something, typically money, in recognition of loss, suffering, or injury incurred; recompense.’ 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'.
Tell me (1)/ what all you know about it (2)/ before I take a decision in the matter. (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 preposition ‘in’ does not fit here and must be replaced with ‘regarding.’ ‘In’ has a different usage and ‘regarding’ means ‘related to.’ Thus it should read as:’before I take a decision regarding the matter’.
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.
Our professor taught us that (1)/ one should respect the (2)/ religion of others as much as his own. (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 pronoun ‘his’ is incorrect and must be replaced with ‘one’s’ as the sentence previously states ‘one should.’ It should read as:’..religion of others as much as one’s own.’ Thus option 3 is the correct answer.
Improve the bracketed part of the sentence.
(Having had) in the USA Embassy for a long time, Mr. Gupta has met many prominent
personalities.
He has been
Having been
Had he been
no improvement
Correct answer
Having been
Why this answer is correct
The correct option here is option 2 which means Mr.Gupta was in the USA Embassy for a long time. The pronoun ‘he’ cannot fit in this structure of the sentence thus option 1 is eliminated. Option 3 gives the sense of a condition which is not met by the given sentence. Thus it is incorrect as well.
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'.
No sooner had she arrive that her (1)/ friends arranged a reception in her (2)/ honour in the best resort in the town. (3)/ No Error (4)
1
2
3
4
Correct answer
1
Why this answer is correct
The error lies in part 1 of the sentence as the structure of ‘no sooner’ has been violated. It should be ‘no sooner did she arrive’ or ‘no sooner had she arrived.’ Here the verb ‘arrive’ in simple present tense is incorrect and must be replaced with the verb in simple past tense ‘arrived.’
go through the link given below to understand the concept of inversion in a better way
In the following question, the sentence given with a 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.
Suman has _____ for the final round of the competition.
Superior
Decided
Declared
Qualified
Correct answer
Qualified
Why this answer is correct
The meanings of the words are:
Superior=> of the highest quality
Decided=> to choose something, especially after thinking carefully about several possibilities
Declared=> openly or formally asserted or announced.
Qualified=> officially recognized as being trained to perform a particular job; certified.
Thus 4 fits here conveying the correct meaning that someone got officially recognized to go to the final round of the competition.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
Passenger
Quarrelled
Remittance
Attendence
Correct answer
Attendence
Why this answer is correct
The correct words are:
Passenger=> a traveller on a public or private conveyance other than the driver, pilot, or crew.
Quarrelled=> fought
Remittance=> a sum of money sent in payment or as a gift.
Attendance=> the action or state of going regularly to or being present at a place or event.
Thus option 4 is the incorrectly spelt word.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
Gorgeous
Granduer
Gratuitous
Glutton
Correct answer
Granduer
Why this answer is correct
The correct words are:
Gorgeous=> beautiful; very attractive.
Grandeur=> splendour and impressiveness, especially of appearance or style.
Gratuitous=> done without good reason; uncalled for
Glutton=> an excessively greedy eater.
Thus option 2 is the incorrectly spelt word.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
embarrassment
exasperation
emanicipation
fermentation
Correct answer
emanicipation
Why this answer is correct
The correct answer is option 3 i.e. 'Emanicipation'.
Key Points
Therefore, the correct answer is - Emanicipation
Additional Information
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
Adherent
Aironaut
Adversary
Admissible
Correct answer
Aironaut
Why this answer is correct
The correct words are:
Adherent=> someone who supports a particular party, person, or set of ideas.
Aeronaut=> the pilot of a balloon or other lighter-than-air aircraft
Adversary=> opponent
Admissible=> acceptable or valid, especially as evidence in a court of law
Thus the word ‘aeronaut’ has been incorrectly spelt.
In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.
Beautisian
Bilingual
Barbarian
Balloon
Correct answer
Beautisian
Why this answer is correct
The correct words are:
Beautician=> a person whose job is to give people beauty treatment.
Bilingual=> speaking two languages fluently
Barbarian=> inhumane
Balloon
Thus option 1 is the incorrectly spelt word.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Denouement
Climax
Systematic
Improper
Glorious
Correct answer
Climax
Why this answer is correct
The word ‘denouement’ means ‘finale or ending’. The other words mean as follows:
Climax=> peak or towards the end
Systematic=> arranged or methodical
Improper=> unsuitable
Glorious=> having, worthy of, or bringing fame or admiration
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.
Valedictory
Hesitant
Terminal
Ridicule
Deception
Correct answer
Terminal
Why this answer is correct
The word ‘valedictory’ means ‘last or final’. The other words mean as follows:
Hesitant=> reluctant
Terminal=> end or extreme
Ridicule=> mock or make fun of
Deception=> treachery
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.
Laconic
Shrewd
Whim
Climax
Concise
Correct answer
Concise
Why this answer is correct
The word ‘laconic’ means ‘brief.’ The other words mean as follows:
Shrewd=> having or based on a clear understanding and good judgment of a situation, resulting in an advantage
Whim=> a sudden desire or change of mind, especially one that is unusual or unexplained.
Climax=> the most intense, exciting, or important point of something; the culmination
Concise=> brief
Thus option 4 is the correct answer.
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Gumption
Acumen
Starry
Futile
Fallow
Correct answer
Acumen
Why this answer is correct
The word ‘gumption’ means ‘shrewd or spirited initiative and resourcefulness.’ The other words mean as follows:
Acumen=> skill or shrewness
Starry=>full of or lit by stars.
Futile=> of no use; yielding no result
Fallow=> uncultivated
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.
Amateur
Timid
Beginner
Weary
Dispirited
Correct answer
Beginner
Why this answer is correct
The word ‘amateur’ means ‘non-professional’ or ‘novice’. The other words mean as follows:
Timid=> scared
Beginner=> novice
Weary=> tired
Dispirited=> having lost enthusiasm and hope; disheartened
Thus option 2 is the correct answer.
200 questions in the full paper