Question 1archived
In the following question, select the related word from the given alternatives.
Sheep : Lamb :: Cow : ?
- A
Kitten
- B
Cub
- C
Calf
- D
Caterpillar
Show answer
C. CalfThe relationship between 'Sheep' and 'Lamb' is that a lamb is the young one of a sheep. Similarly, the young one of a cow is called a 'Calf'. Therefore, the correct answer is 'Calf'.
Paper & answer key PDF ↗ Question 2archived
In the following question, select the related letters from the given alternatives.
PRAG : QTDK :: STOP : ?
- A
LMNP
- B
BDFE
- C
TVRT
- D
QSTG
Show answer
C. TVRTIn the pattern, each letter of 'PRAG' is replaced by the letter preceding it in the alphabet, so 'P' becomes 'Q', 'R' becomes 'T', 'A' becomes 'D', and 'G' becomes 'K'. Following the same pattern for the word 'STOP', we get 'TVRT'. Hence, the correct answer is 'TVRT'.
Paper & answer key PDF ↗ Question 3archived
In the following question, select the related number from the given alternatives.
562 : 30 :: 663 : ?
- A
44
- B
49
- C
54
- D
58
Show answer
C. 54In 562 : 30,
562 = (5 × 6 × 2)/2
= 30
Hence, 663 = (6 × 6 × 3)/2 = 54
Thus, the answer is 54.
Paper & answer key PDF ↗ Question 4archived
In the following question, select the odd word from the given alternatives.
- A
Cricket
- B
Carrom
- C
Table Tennis
- D
Chess
Show answer
A. CricketThe word 'Cricket' is a team sport, while the other three are individual games. Hence, 'Cricket' is the odd word out.
Paper & answer key PDF ↗ Question 5archived
In the following question, select the odd letters from the given alternatives.
- A
IMX
- B
DHS
- C
GWK
- D
KOZ
Show answer
C. GWKThe word 'GWK' stands out as the only set where the positions of the letters in the alphabet are not in sequence. Hence, 'GWK' is the odd one out.
Paper & answer key PDF ↗ Question 6archived
In the following question, select the odd number pair from the given alternatives.
- A
122 – 1331
- B
173 – 2197
- C
197 – 2744
- D
290 – 4913
Show answer
B. 173 – 2197The number pairs '122 – 1331', '197 – 2744', and '290 – 4913' follow a pattern of cubic numbers. The pair '173 – 2197' does not follow the same cubic relationship. Therefore, it is the odd pair out.
Paper & answer key PDF ↗ Question 7archived
Arrange the given words in the sequence in which they occur in the dictionary.
1. Xenons
2. Xylyls
3. Xanthic
4. Xenians
5. Xyst
- A
34125
- B
34521
- C
43251
- D
51342
Show answer
A. 34125Arranging the words in dictionary order: 1. Xenons, 2. Xenians, 3. Xanthic, 4. Xyllys, 5. Xyst. The correct sequence is 34125.
Paper & answer key PDF ↗ Question 8archived
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
LOQ, SVX, ZCE, ?
- A
GJL
- B
GLJ
- C
GTL
- D
JLG
Show answer
A. GJLLet's solve step-by-step:
First letters: L, S, Z
L is the 12th letter of the alphabet.
S is the 19th letter.
Z is the 26th letter.
The pattern: +7 steps (L→S→Z). After Z (26), adding 7 gives 33. Subtract 26 (number of alphabets) → 33 - 26 = 7 ⇒ 7th letter is G.
Second letters: O, V, C
O is the 15th letter.
V is the 22nd letter.
C is the 3rd letter.
The pattern: +7 steps (O→V→C). After C (3), add 7 → 3 + 7 = 10 ⇒ 10th letter is J.
Third letters: Q, X, E
Q is the 17th letter.
X is the 24th letter.
E is the 5th letter.
The pattern: +7 steps (Q→X→E). After E (5), add 7 → 5 + 7 = 12 ⇒ 12th letter is L.
Thus, the next term should be GJL.
Final Answer: Option 1) GJL.
Paper & answer key PDF ↗ Question 9archived
In the following question, select the missing number from the given series.
13, 27, 56, 115, ?
- A
224
- B
231
- C
233
- D
234
Show answer
D. 234The pattern between the numbers is: 13 + 14 = 27, 27 + 29 = 56, 56 + 59 = 115, and 115 + 119 = 234. Therefore, the missing number is '234'.
Paper & answer key PDF ↗ Question 10archived
Sumitra remembers that her mother's birthday is after 13th February but before 16th February but her brother remembers that his mother's birthday is after 14th February but before 17th February. On which date Sumitra's mother's birthday will be celebrated?
- A
13th February
- B
14th February
- C
15th February
- D
17th February
Show answer
C. 15th FebruarySince Sumitra remembers her mother's birthday is after 13th February and before 16th February, and her brother remembers it is after 14th February but before 17th February, the only common date that satisfies both is 15th February.
Paper & answer key PDF ↗ Question 11archived
There are five energy drinks - Red, Moto, Energy, Lion and Bull containing different range of sugar content. Moto having sugar content more than all other drinks. Energy having the sugar content only more than the Lion. Bull is not having sugar content more than the Red. Which of the following drink having the second most sugar content?
- A
Bull
- B
Energy
- C
Red
- D
Moto
Show answer
C. RedAccording to the given information, Moto has the highest sugar content, and Energy has more sugar content than Lion but less than Moto. Bull has less sugar content than Red. Therefore, the second most sugar content is in Red.
Paper & answer key PDF ↗ Question 12archived
In the following question, from the given alternative words, select the word which cannot be formed using the letters of the given word.
CALCULATING
- A
GAIN
- B
TANING
- C
TAIL
- D
CULT
Show answer
B. TANINGBy analyzing the letters of the word CALCULATING, 'TANING' cannot be formed as there is no 'N' present twice in CALCULATING. Therefore, the correct answer is 'TANING'.
Paper & answer key PDF ↗ Question 13archived
In a certain code language, "WILDHORN" is written as "1133" and "RAPTURE" is written as "1089". How is "PORTLOUIS" written in that code language?
- A
1395
- B
1485
- C
1584
- D
1595
Show answer
D. 1595The code corresponds to the numerical value based on the letters and their positions. Following the pattern from the given examples, "PORTLOUIS" is written as "1595".
Paper & answer key PDF ↗ Question 14archived
If "A" denotes "subtracted from", "B" denotes "added to", "C" denotes "divided by", "D" denotes "multiplied by", then which of the following statement is correct?
- A
3 A 12 B 16 D 17 C 1 = 163
- B
5 C 7 A 9 D 8 B 2 = 294
- C
13 C 13 A 13 B 13 D 13 = 157
- D
18 C 16 D 49 A 8 27 B 9 = 200
Show answer
C. 13 C 13 A 13 B 13 D 13 = 157The correct equation, using the operations assigned to each letter, is 13 C 3 A 18 D 13 B 13 D 1 = 157.
Paper & answer key PDF ↗ Question 15archived
If 9 * 2 * 5 = 23 and 1 * 4 * 8 = 29, then 1 * 6 * 3 = ?
- A
19
- B
21
- C
31
- D
39
Show answer
A. 19By following the pattern, the result of 1 * 6 * 3 equals 19. Hence, the correct answer is 19.
Paper & answer key PDF ↗ Question 16archived
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.

- A
48
- B
52
- C
55
- D
58
Show answer
D. 58The numbers follow the pattern of multiplying the two numbers on the left and adding a constant factor. Following this pattern, the missing number is 58.
Paper & answer key PDF ↗ Question 17archived
How many triangles are there in the given figure?

- A
20
- B
23
- C
24
- D
26
Show answer
A. 20By counting all the visible triangles, there are exactly 20 triangles in the figure.
Paper & answer key PDF ↗ Question 18archived
In 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 LED are bulb.
Some bulbs are not tube light.
Conclusions:
I. Some tube lights are LED.
II. All LED are tube lights.
- A
Only conclusion (I) follows.
- B
Only conclusion (II) follows.
- C
Neither conclusion (I) nor conclusion (II) follows.
- D
Both conclusions follow.
Show answer
C. Neither conclusion (I) nor conclusion (II) follows.Conclusion (I) cannot be directly derived from the given statements, and conclusion (II) is also not supported. Therefore, neither conclusion (I) nor conclusion (II) follows.
Paper & answer key PDF ↗ Question 19archived
Three positions of a cube are shown below. What will come opposite to face containing 'a'?

- A
β
- B
δ
- C
η
- D
θ
Show answer
B. δFrom the given positions, the opposite face to 'a' is marked with 'δ'. Therefore, the correct answer is 'δ'.
Paper & answer key PDF ↗ Question 20archived
Identify the diagram that best represents the relationship among the given classes: Pet animals, Dog, Cat
- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
A. Option A (shown in image)The correct diagram is the one that shows the relationship between Pet animals, Dog, and Cat where both Dog and Cat overlap inside the category of Pet animals, as both dogs and cats are pet animals.
Paper & answer key PDF ↗ Question 21archived
Which answer figure will complete the pattern in the question figure?

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
B. Option B (shown in image)By observing the pattern, the second option figure will complete the pattern. The alignment and placement of the lines and triangles match with the given pattern. Therefore, the correct answer is option 2.
Paper & answer key PDF ↗ Question 22archived
From the given answer figures, select the one in which the question figure is hidden/embedded.

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
B. Option B (shown in image)The second option figure contains the embedded pattern of the question figure. Upon careful observation, the pattern from the question is visible in the second option. Hence, the correct answer is option 2.
Paper & answer key PDF ↗ Question 23archived
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.

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
D. Option D (shown in image)When the folded and punched paper is opened, it will show a symmetric pattern that corresponds to answer option D.
Paper & answer key PDF ↗ Question 24archived
If a mirror is placed on the line AB, then which of the answer figure is the right image of the given figure?

- A
Option A (shown in image)
- B
Option B (shown in image)
- C
Option C (shown in image)
- D
Option D (shown in image)
Show answer
B. Option B (shown in image)When a mirror is placed on line AB, the correct right image would be the second option. The mirror image flips the positions of letters horizontally along line AB. Hence, the correct answer is option 2.
Paper & answer key PDF ↗ Question 25archived
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 by its row and next by its column, for example, 'Z' can be represented by 87, 29, etc., and 'T' can be represented by 96, 95, etc. Similarly, you have to identify the set for the word "MAZE".

- A
00, 41, 99, 96
- B
12, 04, 56, 58
- C
24, 22, 88, 65
- D
43, 10, 69, 77
Show answer
A. 00, 41, 99, 96The correct representation of the word "MAZE" is obtained by matching the corresponding letters with their positions in Matrix-I and Matrix-II. Using the given matrices, 'M' corresponds to 01, 'A' corresponds to 40, 'Z' corresponds to 59, and 'E' corresponds to 96. Therefore, the correct answer is option 1.
Paper & answer key PDF ↗ Question 26archived
What does indifference curve represent?
- A
Levels of Income and Capital
- B
Satisfaction derived from two goods
- C
Income from two businesses
- D
Relationship between expenditure and savings
Show answer
B. Satisfaction derived from two goodsAn indifference curve represents a graph showing different bundles of two goods between which a consumer is indifferent. That means, at every point on the curve, the consumer derives the same level of satisfaction. Therefore, it represents satisfaction derived from two goods.
Paper & answer key PDF ↗ Question 27archived
Match the following:

- A
1-c, 2-b, 3-a
- B
1-b, 2-c, 3-a
- C
1-a, 2-b, 3-c
- D
1-a, 2-c, 3-b
Show answer
B. 1-b, 2-c, 3-aThe correct match is: 1) Battle of Buxar - 1764 2) Battle of Plassey - 1757 3) Battle of Haldighati - 1576
Paper & answer key PDF ↗ Question 28archived
India has taken the concept of 'Judicial Review' from which country's constitution?
- A
United States
- B
United Kingdom
- C
Canada
- D
Ireland
Show answer
A. United StatesThe concept of 'Judicial Review' in the Indian Constitution has been adopted from the Constitution of the United States of America. It allows the judiciary to review laws and executive orders for their constitutionality.
Paper & answer key PDF ↗ Question 29archived
How many times a person can be elected as the President of India?
- A
One time
- B
Two times
- C
Three times
- D
No bar
Show answer
D. No barThere is no limit on the number of times a person can be elected as the President of India as per the Indian Constitution.
Paper & answer key PDF ↗ Question 30archived
Who shot dead John Saunders on 17th December 1928?
- A
Bhagat Singh
- B
Mangal Panday
- C
Sukhdev
- D
Bipin Chandra Pal Singh
Show answer
A. Bhagat SinghJohn Saunders was shot dead on 17th December 1928 by Revolutionary freedom fighter Bhagat Singh, assisted by Shivaram Rajguru.
Details:
John Saunders was a British police officer.
The assassination took place in Lahore (then in British India).
It was carried out as revenge for the death of Lala Lajpat Rai, who had been injured during a police lathi charge led by James A. Scott and died later.
Bhagat Singh and his associates mistakenly killed Saunders, believing him to be Scott, the intended target.
Paper & answer key PDF ↗ Question 31archived
Sardar Vallabhbhai Patel was the leader of ______.
- A
Bhoodan Movement
- B
Rowlatt Satyagraha
- C
Bardoli Satyagraha
- D
Swadeshi Movement
Show answer
C. Bardoli SatyagrahaSardar Vallabhbhai Patel led the Bardoli Satyagraha in 1928, a major movement against the increased land revenue demands of the British in Gujarat.
Paper & answer key PDF ↗ Question 32archived
Which type of forests majorly comprises of lichens and mosses?
- A
Taiga forests
- B
Tundra forests
- C
Temperate mixed forests
- D
Tropical ever green forests
Show answer
B. Tundra forestsTundra forests are characterized by extremely cold conditions and limited vegetation. The main flora includes lichens and mosses, which can survive in such harsh climates.
Paper & answer key PDF ↗ Question 33archived
Which of the following has maximum diurnal temperature difference?
- A
Desert
- B
Mountains
- C
Plateau
- D
Ocean
Show answer
A. DesertDeserts experience the greatest difference between day and night temperatures due to lack of moisture and vegetation. They heat up rapidly during the day and cool down quickly at night.
Paper & answer key PDF ↗ Question 34archived
Night Blindness is caused by deficiency of which of the following Vitamin?
- A
Vitamin B
- B
Vitamin C
- C
Vitamin K
- D
Vitamin A
Show answer
D. Vitamin ANight blindness is most commonly caused by a deficiency of Vitamin A, which is essential for maintaining good vision, especially in low light.
Paper & answer key PDF ↗ Question 35archived
The right portion of human heart receives ______ blood.
- A
pure
- B
impure
- C
mixed
- D
None of these
Show answer
B. impureThe right portion (right atrium and right ventricle) of the human heart receives deoxygenated (impure) blood from the body and pumps it to the lungs for oxygenation.
Paper & answer key PDF ↗ Question 36archived
Which of the following is the largest gland in human body?
- A
Thyroid
- B
Liver
- C
Kidney
- D
Pancreas
Show answer
B. LiverThe liver is the largest gland in the human body. It performs various essential functions such as detoxification, protein synthesis, and production of biochemicals necessary for digestion.
Paper & answer key PDF ↗ Question 37archived
On which principle does the hydraulic lift work?
- A
Newton's law
- B
Pascal's law
- C
Archimedes's law
- D
Joule's law
Show answer
B. Pascal's lawHydraulic lifts operate on Pascal's Law, which states that pressure applied to a confined fluid is transmitted undiminished in all directions within the fluid.
Paper & answer key PDF ↗ Question 38archived
At what temperature (in degree celsius), the numerical values on Celsius and Fahrenheit scales become equal?
- A
–40
- B
40
- C
273
- D
–273
Show answer
A. –40The Celsius and Fahrenheit scales intersect at –40 degrees. That is, –40°C is equal to –40°F.
Paper & answer key PDF ↗ Question 39archived
In MICR, what does 'I' stand for?
- A
Interactive
- B
Information
- C
Ink
- D
Instruction
Show answer
C. InkMICR stands for Magnetic Ink Character Recognition. The 'I' represents 'Ink', indicating the special magnetic ink used for printing sensitive information on cheques.
Paper & answer key PDF ↗ Question 40archived
What is the process of conversion of solid state directly to gaseous state called?
- A
Evaporation
- B
Condensation
- C
Sublimation
- D
Distillation
Show answer
C. SublimationSublimation is the process in which a substance transitions directly from a solid to a gaseous state without passing through the liquid phase. A common example is dry ice.
Paper & answer key PDF ↗ Question 41archived
What are the main components of Bronze Alloy?
- A
Copper and Zinc
- B
Copper and Tin
- C
Zinc and Nickel
- D
Aluminium and Nickel
Show answer
B. Copper and TinBronze is an alloy primarily consisting of copper and tin. It is known for its hardness and resistance to corrosion.
Paper & answer key PDF ↗ Question 42archived
Which of the following causes fly ash?
- A
Hydroelectric Power Station
- B
Coal Combustion Power Plant
- C
Nuclear Power Plant
- D
Tidal Power Plant
Show answer
B. Coal Combustion Power PlantFly ash is a by-product of coal combustion in thermal power plants. It consists of fine particles that rise with flue gases and are captured using filters.
Paper & answer key PDF ↗ Question 43archived
"Dulari Kanya", a scheme to bring down infant mortality in the state is launched by which Indian State?
- A
Arunachal Pradesh
- B
Rajasthan
- C
Uttar Pradesh
- D
Madhya Pradesh
Show answer
A. Arunachal Pradesh"Dulari Kanya" is a welfare scheme launched by Arunachal Pradesh to reduce the infant mortality rate and promote the birth of girl children.
Paper & answer key PDF ↗ Question 44archived
Who developed the theory of relativity?
- A
Isaac Newton
- B
Charles Darwin
- C
Marie Curie
- D
Albert Einstein
Show answer
D. Albert EinsteinAlbert Einstein developed the theory of relativity, which revolutionized the understanding of space, time, and gravity.
Paper & answer key PDF ↗ Question 45archived
'Queensbury rules' is code of rules that directly influences which of the following sport?
- A
Tennis
- B
Boxing
- C
Polo
- D
Billiards
Show answer
B. BoxingThe 'Queensbury rules' are a set of standardized rules that govern the sport of boxing. They were first published in 1867 and remain the basis for modern boxing rules.
Paper & answer key PDF ↗ Question 46archived
Who amidst the following is a distinguished painter?
- A
Uday Shankar
- B
Sonal Mansingh
- C
Amrita Shergill
- D
Yamini Krishnamurthy
Show answer
C. Amrita ShergillAmrita Shergill was a renowned Indian painter, often considered one of the greatest avant-garde women artists of the early 20th century. Her works drew influence from Western and Indian styles, making her a pioneer in modern Indian art.
Paper & answer key PDF ↗ Question 47archived
Who among the following was awarded with Padma Shri 2017 in the field of 'Sports - Hockey'?
- A
Sardar Singh
- B
P. R. Sreejesh
- C
Ramandeep Singh
- D
Yuvraj Walmiki
Show answer
B. P. R. SreejeshP. R. Sreejesh, the Indian field hockey player and goalkeeper, was awarded the Padma Shri in 2017 for his outstanding contribution to the sport.
Paper & answer key PDF ↗ Question 48archived
"Hema Malini : Beyond the Dream Girl" is authored by which author?
- A
Meena Iyer
- B
Hema Malini
- C
Ram Kamal Mukherjee
- D
Vijay Kumar
Show answer
C. Ram Kamal MukherjeeThe biography titled "Hema Malini: Beyond the Dream Girl" was written by journalist and author Ram Kamal Mukherjee. It covers the life and career of Hema Malini, an iconic Indian actress.
Paper & answer key PDF ↗ Question 49archived
A 7500 mile direct rail link was launched on 10 April 2017 between China and _____.
- A
Pakistan
- B
Kazakhstan
- C
Great Britain
- D
France
Show answer
C. Great BritainOn 10 April 2017, China launched a direct 7500-mile freight rail link to Great Britain, aiming to enhance trade connectivity under the Belt and Road Initiative.
Paper & answer key PDF ↗ Question 50archived
19th SAARC Summit was planned to be held in November 2016 but it got postponed. Which country was its host?
- A
Nepal
- B
Bhutan
- C
India
- D
Pakistan
Show answer
D. PakistanThe 19th SAARC Summit was scheduled to be hosted by Pakistan in November 2016. However, it was postponed due to political tensions and withdrawals by several member nations.
Paper & answer key PDF ↗ Question 51archived
Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?
- A
9
- B
11
- C
13
- D
17
Show answer
C. 13Let the three consecutive odd numbers be \(x-2,\ x,\ x+2\). Their product is
\[(x-2)\,x\,(x+2) = x(x^2-4) = 1287\]
Try \(x=11\): \(11(121-4) = 11 \times 117 = 1287\). So the numbers are 9, 11, 13 and the largest is 13.
Paper & answer key PDF ↗ Question 52archived
45 men or 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?
- A
23
- B
45
- C
30
- D
25
Show answer
C. 30Step 1 — Equate work capacities: 45 men ≡ 60 boys, so \(1\text{ man} = \tfrac{60}{45} = \tfrac{4}{3}\text{ boys}\).
Step 2 — Convert the new group to boys:
\[15\text{ men}+20\text{ boys} = 15\times\tfrac{4}{3}+20 = 20+20 = 40\text{ boys}\]
Step 3 — Days needed: 60 boys take 20 days, so total work = \(60\times 20 = 1200\) boy-days.
\[\text{Days} = \frac{1200}{40} = 30\]
Therefore 30 days.
Paper & answer key PDF ↗ Question 53archived
How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?
- A
112
- B
108
- C
116
- D
104
Show answer
B. 108Volume is conserved when the hemisphere is melted into balls.
\[V_{\text{hemisphere}} = \tfrac{2}{3}\pi r^3 = \tfrac{2}{3}\pi(6)^3 = 144\pi \text{ cm}^3\]
\[V_{\text{ball}} = \tfrac{4}{3}\pi(1)^3 = \tfrac{4}{3}\pi \text{ cm}^3\]
\[N = \frac{144\pi}{\tfrac{4}{3}\pi} = 144\times\tfrac{3}{4} = 108\]
Therefore 108 balls.
Paper & answer key PDF ↗ Question 54archived
The marked price of a shirt is Rs 1280. If the shirt is being sold for Rs 900, what is the discount percentage?
- A
31.31
- B
25.57
- C
29.68
- D
34.36
Show answer
C. 29.68Discount = MP − SP = \(1280 - 900 = 380\).
\[\text{Discount \%} = \frac{380}{1280}\times 100 = 29.6875\% \approx 29.68\%\]
Therefore 29.68%.
Paper & answer key PDF ↗ Question 55archived
The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, what is the ratio of number of cans of these juices in the remaining stock?
- A
1 : 1 : 2
- B
6 : 6 : 13
- C
12 : 15 : 19
- D
4 : 9 : 13
Show answer
A. 1 : 1 : 2Remaining: 75% of 8 = 6, 66.66% of 9 = 6, 80% of 15 = 12 ⇒ 6:6:12 = 1:1:2
Paper & answer key PDF ↗ Question 56archived
The ratio of number of boys and girls in a class is 2 : 3. The average weight of boys and girls is 18 kg and 21 kg respectively. What is the average weight (in kg) of all the boys and girls together?
- A
99/5
- B
101/5
- C
109/6
- D
96/5
Show answer
A. 99/5Let boys = 2x, girls = 3x. Total = 5x.
Total weight = 2x×18 + 3x×21 = 36x + 63x = 99x
Avg = 99x / 5x = 99/5
Paper & answer key PDF ↗ Question 57archived
A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at Rs 42 per litre, what is the profit percentage?
- A
17.2
- B
14.4
- C
16.6
- D
15.5
Show answer
D. 15.5Water is free, so CP is only the milk cost; SP is on the full 55 L mixture.
\[\text{CP} = 50\times 40 = 2000\]
\[\text{SP} = 55\times 42 = 2310\]
\[\text{Profit \%} = \frac{2310-2000}{2000}\times 100 = \frac{310}{2000}\times 100 = 15.5\%\]
Therefore 15.5%.
Paper & answer key PDF ↗ Question 58archived
If A is 6 times more than B, then by what percentage is B less than A?
- A
64.82
- B
83.33
- C
28.56
- D
85.71
Show answer
D. 85.71“A is 6 times more than B” means \(A = B + 6B = 7B\).
The difference A − B = 6B, expressed as a percentage of A:
\[\frac{A-B}{A}\times 100 = \frac{6B}{7B}\times 100 = \frac{600}{7} \approx 85.71\%\]
Therefore B is 85.71% less than A.
Paper & answer key PDF ↗ Question 59archived
A runner starts at 6:00 am with 8 km/hr speed. Another starts at 8:30 am with 10 km/hr speed. When will the second overtake the first?
- A
8:00
- B
4:00
- C
6:30
- D
5:30
Show answer
C. 6:301st runs 2.5 hours before 2nd: 8×2.5 = 20 km lead
Relative speed = 2 km/hr ⇒ Time to close gap = 20/2 = 10 hours
So 8:30 + 10 hours = 6:30 PM
Paper & answer key PDF ↗ Question 60archived
A sum amounts to Rs 7727.104 at 12% per annum compounded annually after 3 years. What is the value of principal?
- A
5000
- B
5200
- C
5350
- D
5500
Show answer
D. 5500Compound-interest amount formula:
\[A = P\left(1+\tfrac{r}{100}\right)^n = P(1.12)^3\]
\((1.12)^3 = 1.404928\), so
\[P = \frac{7727.104}{1.404928} = 5500\]
Therefore principal = Rs 5500.
Paper & answer key PDF ↗ Question 61archived
\[When [x+ \frac{1}{x}] = 5, then what is the value of [x- \frac{1}{x} ]?\]
- A
11
- B
±√22
- C
21
- D
±√21
Show answer
D. ±√21Given: x + 1/x = 5, solving for x, we get the value of x - 1/x = ±√21.
Paper & answer key PDF ↗ Question 62archived
If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3?
- A
40
- B
37.5
- C
38
- D
20√2
Show answer
A. 40By solving the given expression with the value of x, we get the final result as 40.
Paper & answer key PDF ↗ Question 63archived
If x = 5 – 2√6, then what is the value of √x + (1/√x)?
- A
5
- B
2
- C
2√3
- D
2√2
Show answer
C. 2√3By substituting x = 5 – 2√6 and simplifying, we get the value of √x + (1/√x) = 4.
Paper & answer key PDF ↗ Question 64archived
If 27x + 27[x-(⅓)] = 972, then what is the value of x?
- A
2
- B
3
- C
4
- D
5
Show answer
A. 2Note that \(27^{\,x-1/3} = 27^x\cdot 27^{-1/3} = \tfrac{27^x}{3}\). Substitute:
\[27^x + \tfrac{27^x}{3} = 972 \;\Rightarrow\; \tfrac{4}{3}\,27^x = 972\]
\[27^x = 729 = 27^2 \;\Rightarrow\; x = 2\]
Therefore x = 2.
Paper & answer key PDF ↗ Question 65archived
The inradius of an equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?
- A
5
- B
10√3
- C
20
- D
20√3
Show answer
C. 20Using the formula for the relationship between the inradius and circumradius of an equilateral triangle, the circum-radius is 20 cm.
Paper & answer key PDF ↗ Question 66archived
The point of intersection of all the angle bisectors of a triangle is ______ of the triangle.
- A
Incenter
- B
Circumcenter
- C
Centroid
- D
Orthocenter
Show answer
A. IncenterThe point of intersection of all the angle bisectors of a triangle is known as the Incenter of the triangle.
Paper & answer key PDF ↗ Question 67archived
ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?
- A
90
- B
120
- C
135
- D
145
Show answer
B. 120In an equilateral triangle, the orthocenter lies at the same point as the centroid. Therefore, the value of ∠BPC is 120 degrees.
Paper & answer key PDF ↗ Question 68archived
In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm², then what is the area (in cm²) of triangle ABD?
- A
150
- B
200
- C
210
- D
240
Show answer
A. 150Using the property of angle bisectors and the area ratio, the area of triangle ABD is 150 cm².
Paper & answer key PDF ↗ Question 69archived
A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?
- A
10
- B
15
- C
20
- D
60
Show answer
B. 15Using trigonometric relations and the given information, the boat takes 15 seconds to reach the lighthouse.
Paper & answer key PDF ↗ Question 70archived
What is the value of [sec θ/ (secθ – 1)] + [sec θ /(sec θ + 1)]?
- A
2 sin² θ
- B
2(1 + tan² θ)
- C
2 cosec² θ
- D
sin² θ
Show answer
C. 2 cosec² θCombine over a common denominator \((\sec\theta-1)(\sec\theta+1) = \sec^2\theta - 1 = \tan^2\theta\):
\[\frac{\sec\theta(\sec\theta+1)+\sec\theta(\sec\theta-1)}{\tan^2\theta} = \frac{2\sec^2\theta}{\tan^2\theta}\]
Now \(\dfrac{\sec^2\theta}{\tan^2\theta} = \dfrac{1/\cos^2\theta}{\sin^2\theta/\cos^2\theta} = \dfrac{1}{\sin^2\theta} = \csc^2\theta\).
Therefore the expression equals \(2\csc^2\theta\).
Paper & answer key PDF ↗ Question 71archived
If cosec θ = (1 / 4x) + x, then what is the value of cosec θ + cot θ?
- A
3x
- B
2x
- C
4x
- D
2x or 1/(2x)
Show answer
D. 2x or 1/(2x)Using \(\csc^2\theta - \cot^2\theta = 1\), we get \(\cot^2\theta = \csc^2\theta - 1\). With \(\csc\theta = \tfrac{1}{4x}+x\):
\[\csc^2\theta = \tfrac{1}{16x^2}+\tfrac{1}{2}+x^2,\quad \cot^2\theta = \tfrac{1}{16x^2}-\tfrac{1}{2}+x^2 = \left(\tfrac{1}{4x}-x\right)^2\]
So \(\cot\theta = \pm\left(\tfrac{1}{4x}-x\right)\). Adding to \(\csc\theta\):
\[\csc\theta+\cot\theta = \left(\tfrac{1}{4x}+x\right)+\left(\tfrac{1}{4x}-x\right) = \tfrac{1}{2x}\] or \(\left(\tfrac{1}{4x}+x\right)+\left(x-\tfrac{1}{4x}\right) = 2x\).
Therefore 2x or 1/(2x).
Paper & answer key PDF ↗ Question 72archived
The runs scored by Pujara against South Africa is more than runs scored against Bangladesh by what percentage?

- A
100
- B
150
- C
200
- D
250
Show answer
C. 200The difference in runs is calculated from the pie chart. The percentage difference can be derived based on the values of runs scored against South Africa (24%) and Bangladesh (8%). The correct answer is 200.
Paper & answer key PDF ↗ Question 73archived
If Pujara has scored 1875 runs in total, then what is the difference in runs scored by Pujara against South Africa and New Zealand?

- A
150
- B
175
- C
200
- D
250
Show answer
A. 150Using the total runs (1875) and the percentage for South Africa (24%) and New Zealand (16%) from the pie chart, the difference in runs is 150.
Paper & answer key PDF ↗ Question 74archived
What is the sectorial angle (in degrees) made by the runs scored against Australia in the given pie chart?

- A
106.8
- B
109.6
- C
112.4
- D
115.2
Show answer
D. 115.2The sectorial angle for Australia (32%) is calculated by multiplying the percentage by 360 (32% of 360°), giving 115.2°.
Paper & answer key PDF ↗ Question 75archived
What should be the least number of runs that Pujara must have scored in total (runs can only be integers)?

- A
25
- B
225
- C
375
- D
625
Show answer
A. 25The least number of runs Pujara must have scored in total can be derived by considering the minimum value for a valid set of scores based on the percentages given in the chart. The correct answer is 25.
Paper & answer key PDF ↗ Question 76archived
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'.
I am vexed at him (1)/ for all that he has (2)/ done for him to date. (3)/ No Error (4)
- A
1
- B
2
- C
3
- D
4
Show answer
A. 1The error is in part 1. The correct phrase should be "I am vexed with him" rather than “I am vexed at him”.
Paper & answer key PDF ↗ Question 77archived
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'.
The Manager warned his team members (1) that if they persist in their (2) obstructionist attitude they would be punished. (3) No Error (4)
- A
1
- B
2
- C
3
- D
4
Show answer
B. 2The error is in part 2. The word "obstructionist" should be replaced with "obstructive," as it correctly describes their attitude.
Paper & answer key PDF ↗ Question 78archived
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.
Both taciturn and _____, Daniel seldom spoke and never spent money.
- A
wary
- B
cheap
- C
discreet
- D
miserly
Show answer
D. miserlyThe word "miserly" fits here because it describes someone who is reluctant to spend money, matching the context of Daniel's behavior.
Paper & answer key PDF ↗ Question 79archived
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.
He was too _____ to make a statement before the Boss.
- A
shy
- B
tired
- C
timid
- D
coward
Show answer
C. timid"Timid" is the best fit as it describes someone who lacks the confidence to make a statement, which fits the context of the sentence.
Paper & answer key PDF ↗ Question 80archived
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Reiterate
- A
Abuse
- B
Pretend
- C
Detest
- D
Repeat
Show answer
D. RepeatReiterate means to repeat, making "Repeat" the best synonym for the word.
Paper & answer key PDF ↗ Question 81archived
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Nincompoop
- A
Wise
- B
Fool
- C
Lover
- D
Companion
Show answer
B. Fool"Ni*ncompop*" means fool, making "Fool" the correct synonym for the word.
Paper & answer key PDF ↗ Question 82archived
In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Pellucid
- A
Torpid
- B
Explicit
- C
Limpid
- D
Murky
Show answer
C. LimpidThe word "Pellucid" means:
Clear, transparent, or easily understood.
Limpid – completely clear, like water; transparent; also, clear in style or meaning (✅ closest synonym)
While "explicit" is related in the sense of clarity in communication, "limpid" is the most direct synonym of "pellucid," especially when referring to clarity in both literal (like water) and figurative (like language) contexts.
Paper & answer key PDF ↗ Question 83archived
In the following question, out of the four alternatives, select the word opposite in meaning to the word given.
Adamant
- A
Rigid
- B
Flexible
- C
Fixed
- D
Unshakable
Show answer
B. FlexibleAdamant means unyielding or firm, so "Flexible" is the opposite of Adamant.
Paper & answer key PDF ↗ Question 84archived
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/Phrase.
To wrangle over an ass's shadow
- A
To waste money over trifles
- B
To punish a person severely for his arrogance
- C
To quarrel over trifles
- D
To keep away from extreme poverty
Show answer
C. To quarrel over trifles<p"The correct meaning of "To wrangle over an ass's shadow" is "To quarrel over trifles."
Paper & answer key PDF ↗ Question 85archived
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/Phrase.
Make one's flesh creep
- A
To confuse someone
- B
To flatter someone
- C
To abuse someone
- D
To frighten someone
Show answer
D. To frighten someoneThe phrase "Make one's flesh creep" means "To frighten someone," as it refers to a fear reaction.
Paper & answer key PDF ↗ Question 86archived
Improve the bracketed part of the sentence.
Father (would have been appreciated) your efforts if you had informed him.
- A
would be appreciated
- B
would have appreciated
- C
should have been appreciated
- D
No improvement
Show answer
B. would have appreciatedThe correct phrase is "would have appreciated" because the sentence is in past perfect tense, reflecting a hypothetical situation.
Paper & answer key PDF ↗ Question 87archived
Improve the bracketed part of the sentence.
Neha was (surprised by) her result.
- A
surprised to
- B
surprised from
- C
surprised at
- D
No improvement
Show answer
C. surprised atThe correct phrase is "surprised at," which is the proper expression to use when reacting to a result or outcome.
Paper & answer key PDF ↗ Question 88archived
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
Study of tumors
- A
Oenology
- B
Oncology
- C
Phrenology
- D
Upology
Show answer
B. OncologyThe correct term for the study of tumors is "Oncology," not "Oenology" or "Phrenology."
Paper & answer key PDF ↗ Question 89archived
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
The highest point
- A
Tempest
- B
Outpost
- C
Archive
- D
Zenith
Show answer
D. ZenithThe correct word for the highest point is "Zenith," which refers to the peak or pinnacle of something.
Paper & answer key PDF ↗ Question 90archived
In the following question, four words are given out of which one word is incorrectly spelt. Find the incorrectly spelt word.
- A
Literary
- B
Leakeage
- C
Laudable
- D
Loafer
Show answer
B. LeakeageLeakeage : This word is intended to refer to the act or result of leaking. The provided spelling 'Leakeage' is incorrect. The correct spelling is ‘Leakage’
Paper & answer key PDF ↗ Question 91archived
In the following question, out of the four alternatives, select the alternative which is spelt incorrectly.
- A
Anasthetic
- B
Obliterate
- C
Concurrence
- D
Blithesome
Show answer
A. AnastheticLet's look at the options:
Anasthetic – This is a misspelling of "Anesthetic"
Obliterate – Means to destroy completely
Concurrence – Means agreement or simultaneous occurrence
Blithesome – Means cheerful and carefree
Paper & answer key PDF ↗ Question 92archived
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
P: Yet making loans to poor people is hardly a Poverty cure.
Q: Segmenting the industry, might be worth while if it allows more of the poor to get access to credit.
R: Multinational corporations could take the top microfinance institutions to the next level, and the remainder could take the responsibility of development groups and regional banks.
S: Property rights and the role of law matter too.
- A
PRQS
- B
QRPS
- C
SPQR
- D
RSPQ
Show answer
B. QRPSThe correct order of sentences is QRPS. The statement begins with "Yet making loans..." and follows logically with the rest of the information in the paragraph.
Paper & answer key PDF ↗ Question 93archived
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
P: But the scenario has quite changed now-a-days by allocating a special budget of funds for security.
Q: In the last ten years, budget towards the development of military forces is higher when compared to others.
R: India earlier days gave more importance to the development of industry and less importance to other departments.
S: This is because of the frightening increase in terrorism all around the world especially emerging after the 9/11 terror attack in U.S
- A
PRQS
- B
SPQR
- C
QSPR
- D
RPSQ
Show answer
D. RPSQThe correct order of sentences is RSPQ. This option provides the most coherent flow of ideas related to military budget allocation and its importance.
Paper & answer key PDF ↗ Question 94archived
In the following question, a sentence has been given in Active/Passive voice. Out of four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice.
One should keep one's word.
- A
One's word should be kept.
- B
A word should be keeping.
- C
One’s word has to be kept.
- D
One’s word should be kept by us.
Show answer
A. One's word should be kept.The given sentence is in Active Voice:
"One should keep one's word."
Let's break it down:
Subject: One
Modal verb: should
Main verb: keep
Object: one's word
We are to change it into Passive Voice.
Passive Voice structure:
[Object] + should be + past participle (V3) + by [subject]
So, the passive form becomes:
"One's word should be kept."
(Note: Since "one" is an indefinite pronoun, we typically omit "by one" in passive voice for naturalness.)
✅ Correct answer:
"One's word should be kept."
Paper & answer key PDF ↗ Question 95archived
In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech.
The old man said, "Thanks I shall never forget this kindness, Ankit."
- A
The old man applauded Ankit for his kindness and he shall never forget Ankit.
- B
The old man thanked Ankit and assured him that he would never forget his kindness.
- C
Ankit was being thanked by the old man for his kindness towards an old man.
- D
The old man said thank you to Ankit for his kindness.
Show answer
B. The old man thanked Ankit and assured him that he would never forget his kindness.The sentence is in direct speech and must be converted to indirect speech.
“Thanks I shall never forget this kindness, Ankit.” conveys gratitude and assurance.
In indirect speech: "Thanks" becomes "thanked", and "I shall never forget" becomes "he would never forget".
Option 2 correctly conveys both ideas — thanking Ankit and assuring him.
Other options are either incorrect in structure or change the meaning.
Thus, Option 2 is correct.
Paper & answer key PDF ↗ Question 96archived
National integration means ______ all the people of the nation into a single whole.
- A
segregating
- B
combining
- C
residing
- D
complying
Show answer
B. combining"National integration" is a positive unifying concept.
The verb should reflect unity.
“Combining” means bringing together — suitable in this context.
Other options such as “segregating” and “complying” do not fit the context of unity.
Hence, Option 2 is the correct answer.
Paper & answer key PDF ↗ Question 97archived
It is a _____ that binds together
- A
sentiment
- B
resources
- C
essentials
- D
finances
Show answer
A. sentimentThe phrase “that binds together all people” implies an emotional or ideological force.
“Sentiment” refers to such feelings or ideas.
“Resources” or “finances” are not relevant here.
Thus, “sentiment” best fits the sentence context.
Correct answer is Option 1.
Paper & answer key PDF ↗ Question 98archived
all people in one ______ bond no matter what their religion, caste, language or history.
- A
real
- B
common
- C
nominal
- D
similar
Show answer
B. common“Common bond” is a well-known phrase indicating shared unity or connection.
“Common” fits perfectly here.
Other words like “nominal” or “real” are not contextually ideal.
Correct answer is Option 2.
Paper & answer key PDF ↗ Question 99archived
It is a _____ cementing force whereby all kinds of people...
- A
weakening
- B
natural
- C
strong
- D
settled
Show answer
C. strongThe phrase “cementing force” implies strength and unity.
“Strong” is most appropriate here.
“Weakening” is opposite in meaning.
Hence, Option 3 is correct.
Paper & answer key PDF ↗ Question 100archived
live _____ peacefully and can identify themselves as a part and parcel of a nation.
- A
separately
- B
jointly
- C
happily
- D
together
Show answer
D. togetherThe correct adverb is one that implies unity and harmony.
“Together” accurately conveys this idea.
“Separately” contradicts the sense of unity.
Hence, Option 4 is the best fit.
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