Question 1archived
Select the related word/letters/numbers from the given alternatives:Sanitation : Illness :: Care : ?
- A
Rest
- B
Ignore
- C
Accident
- D
Suggestion
Show answer
C. AccidentThe relationship between "Sanitation" and "Illness" is that sanitation can prevent illness. Similarly, "Care" can prevent accidents. Therefore, the correct answer is "Accident".
Paper & answer key PDF ↗ Question 2archived
Select the related word/letters/numbers from the given alternatives:GrtK : KtRg :: Fjbh : ?
- A
HjbF
- B
jhbF
- C
Fjbh
- D
HjbF
Show answer
D. HjbFThe pattern follows a letter shifting mechanism: each letter in the first pair is replaced by a corresponding letter from the other side. "GrtK" changes to "KtRg" by shifting each letter, and similarly, "Fjbh" changes to "HjbF", which is the correct answer.
Paper & answer key PDF ↗ Question 3archived
Select the related word/letters/numbers from the given alternatives:20 : 11 :: 102 : ?
- A
49
- B
52
- C
61
- D
58
Show answer
B. 52Solution:
Observe the pattern in the first pair: 20 → 11.
Check: 20 / 2 + 1 = 10 + 1 = 11 ✅ Works
Apply the same pattern to 102: 102 / 2 + 1 = 51 + 1 = 52
Answer: 52
Paper & answer key PDF ↗ Question 4archived
Find the odd word/letters/number pair from the given alternatives:Man : Garage :: Pig : ?
- A
Man : Garage
- B
Pig : Sty
- C
Horse : Stable
- D
Cow : Shed
Show answer
A. Man : GarageThe odd pair is "Man : Garage" because a man is not associated with a garage in the same way that a pig is associated with a sty, a horse with a stable, and a cow with a shed. These latter pairs are natural associations based on where the animals live, whereas a garage is not a natural place for a man to live. Hence, the correct answer is "Man : Garage".
Paper & answer key PDF ↗ Question 5archived
Find the odd word/letters/number pair from the given alternatives:WV : UFA :: DBA : ?
- A
WVU
- B
DBA
- C
NML
- D
HGF
Show answer
D. HGFThe relationship in the options involves a systematic shift of letters. When comparing "WV" to "UFA," we observe the shift pattern of letters. Similarly, the odd pair that follows this pattern in terms of shifts and positions is "HGF".
Paper & answer key PDF ↗ Question 6archived
Find the odd word/letters/number pair from the given alternatives:1629 : 3418 :: 2349 : ?
- A
1629
- B
3418
- C
2349
- D
1834
Show answer
D. 1834The pattern here involves the rearrangement of digits in the number pairs. "1629" rearranges to "3418" by shifting the digits. Following the same logic, "2349" rearranges to "1834", making it the correct answer.
Paper & answer key PDF ↗ Question 7archived
Arrange the following words as per order in the dictionary:Exploit, Explosive, Exponent, Exposition, Explore
- A
1) 1, 3, 4, 5, 2
- B
2) 1, 5, 2, 3, 4
- C
3) 1, 3, 2, 4, 5
- D
4) 1, 3, 4, 2, 5
Show answer
A. 1) 1, 3, 4, 5, 2When arranged alphabetically, the words come in this order: Exploit, Exponent, Exposition, Explore, Explosive. Therefore, the correct sequence is 1, 3, 4, 5, 2.
Paper & answer key PDF ↗ Question 8archived
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:CAR, GCO, KEL, OGI, ?
- A
SIK
- B
SIF
- C
TIK
- D
TIL
Show answer
B. SIFThe pattern involves shifting each letter in the word by a fixed number of positions in the alphabet. The sequence for each position follows this logic and the correct answer is "SIF".
Paper & answer key PDF ↗ Question 9archived
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:100, 50, 52, 26, 28, ?, 16, 8
- A
14
- B
30
- C
32
- D
38
Show answer
A. 14The pattern alternates between division and addition. The number is halved, then increased by a small number, alternating between 50% and 2 more. The missing term is 14.
Paper & answer key PDF ↗ Question 10archived
Mithilesh said to Neha, 'Your only brother's son is my wife's brother.' How is Neha related to the wife of Mithilesh?
- A
Aunt
- B
Mother-in-law
- C
Sister
- D
Mother
Show answer
A. AuntThe relationship described indicates that Mithilesh's wife is Neha's aunt. The phrase 'my wife's brother' implies that Mithilesh’s wife is Neha's mother’s sister, making Neha the niece of Mithilesh’s wife. Hence, the correct answer is 'Aunt'.
Paper & answer key PDF ↗ Question 11archived
W, X, Y, Z are four friends. W is shorter than X, but taller than Y, who is shorter than Z. Who is the shortest among all?
- A
W
- B
X
- C
Y
- D
Z
Show answer
C. YThe relative heights are as follows: W < X, Y < Z, and W is taller than Y. Therefore, the shortest among them is Y.
Paper & answer key PDF ↗ Question 12archived
From the given alternative words, select the word which cannot be formed using the letters of the given word:SPECULATION
- A
SPECIAL
- B
TOPIC
- C
SECULAR
- D
CAUTION
Show answer
C. SECULARThe word "SECULAR" cannot be formed from the letters in "SPECULATION" because it uses more "E"s than available. Thus, the correct answer is "SECULAR".
Paper & answer key PDF ↗ Question 13archived
If A = 26 and X-RAY = 40, then WHAT = ?
- A
52
- B
54
- C
56
- D
58
Show answer
C. 56The relationship between A = 26 and X-RAY = 40 involves a certain calculation where the values of the letters are added. If A is assigned 26, the sum of the values of the letters in X-RAY results in 40. Similarly, applying the same rule to the word "WHAT" results in 56, which is the correct answer.
Paper & answer key PDF ↗ Question 14archived
If 'A' stands for '+', 'B' stands for '-', 'C' stands for 'x', what is the value of (10C4)A(4C4)B6 = ?
- A
46
- B
50
- C
56
- D
60
Show answer
B. 50According to the given pattern, 'A' represents addition, 'B' represents subtraction, and 'C' represents multiplication. Substituting these into the expression (10C4)A(4C4)B6 gives the correct result of 50.
Paper & answer key PDF ↗ Question 15archived
.If 324⊕289 = 35, 441⊕484 = 43, then 625⊕400 = ?
- A
431
- B
413
- C
341
- D
143
Show answer
D. 143The pattern involves the operation between the numbers on the left and right of the symbol '@'. Using the pattern, 625@400 results in 143, making it the correct answer.
Paper & answer key PDF ↗ Question 16archived
Select the missing numbers from the given alternatives:12 8 4 8 4 12 4 8 100 44 ?
- A
80
- B
56
- C
48
- D
36
Show answer
B. 56The missing number in the series follows a specific pattern of alternating between multiplication and division. The correct number that fits the pattern is 56.
Paper & answer key PDF ↗ Question 17archived
A person started walking towards West and covered a distance of 15m, he turned right and walked 10m. Again he turned right and walked 5m and in the end he turned left and walked 15m. Which direction is this person facing now?
- A
North
- B
South
- C
East
- D
West
Show answer
A. NorthThe person starts facing West, turns right (now facing North), walks 10m, then turns right again (now facing East), walks 5m, turns left (now facing North), and walks another 15m. Therefore, the person is facing North.
Paper & answer key PDF ↗ Question 18archived
Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.Statements:All cycles are ducks.All ducks are swans.Conclusions:I. All swans are cycles.II. Some swans are cycles.
- A
Only conclusion I follows
- B
Only conclusion II follows
- C
Both conclusion I and conclusion II follow
- D
Neither conclusion I nor conclusion II follows
Show answer
B. Only conclusion II followsFrom the given statements, we can conclude that only conclusion II is true: Some swans are cycles. The first conclusion, "All swans are cycles", is not necessarily true as not all swans must be cycles. Hence, only conclusion II follows.
Paper & answer key PDF ↗ Question 19archived
Find the number of triangles in the given figure:

- A
8
- B
10
- C
12
- D
14
Show answer
D. 14The figure consists of multiple triangles formed by overlapping shapes. By counting each individual triangle, including the smaller ones formed by the intersections, the total number of triangles is 14.
Paper & answer key PDF ↗ Question 20archived
Which of the diagrams given below correctly represents the relationship among WOMEN, MOTHERS, SPINSTERS?
- A
(Diagram 1)
- B
(Diagram 2)
- C
(Diagram 3)
- D
(Diagram 4)
Show answer
D. (Diagram 4)The correct diagram is option 4, which properly represents the relationship among women, mothers, and spinsters. The diagram shows that all mothers are women, but not all women are mothers, and spinsters are a subset of women who are not mothers.
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
D. Option D (shown in image)The pattern involves filling in missing blocks in the grid. Upon examining the grid, the figure that best completes the pattern is figure 4.
Paper & answer key PDF ↗ Question 22archived
From the given answer figures, select the one in which the question figure is hidden.

- 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)The question figure shows a cross shape, and by analyzing the given answer options, figure 4 is the correct choice where the same cross shape is hidden in the grid pattern.
Paper & answer key PDF ↗ Question 23archived
A piece of paper is folded and cut 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)The question involves visualizing how a folded paper with a certain cut will unfold. The correct unfolded pattern is represented by figure 4.
Paper & answer key PDF ↗ Question 24archived
If a mirror is placed on the line MN, then which of the answer figures 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
C. Option C (shown in image)In the given problem, a mirror is placed on the line MN, and the correct image is represented by figure 3 after reflecting the original figure across the line.
Paper & answer key PDF ↗ Question 25archived
In this question, the sets of numbers given in the alternatives are represented. The columns and rows of Matrix 1 are numbered from 0 to 4 and that of Matrix 11 are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., S can be represented by 02,11, etc., and ‘L’ can be represented by 65, 86, etc. Similarly you have to identify the set for the word ‘GATE’.
- A
30, 89, 11, 57
- B
21, 96, 24, 78
- C
12, 89, 42, 68
- D
21, 96, 24, 78
Show answer
B. 21, 96, 24, 78The word 'GATE' is formed by looking at the coordinates for each letter in the given matrix. By following the matrix system for each letter, the correct set of coordinates for the word "GATE" is 21, 96, 24, 78. This corresponds to option 2.
Paper & answer key PDF ↗ Question 26archived
Which institution is known as 'Soft Loan Window' of World Bank?
- A
IDBI
- B
IDA
- C
IMF
- D
RBI
Show answer
B. IDAThe 'Soft Loan Window' of the World Bank is known as the IDA (International Development Association), which provides concessional loans to the world's poorest countries.
Paper & answer key PDF ↗ Question 27archived
Which curve shows the inverse relationship between unemployment and inflation rates?
- A
Supply curve
- B
Indifference curve
- C
IS curve
- D
Phillips curve
Show answer
D. Phillips curveThe Phillips curve represents the inverse relationship between unemployment and inflation. It shows that as unemployment decreases, inflation tends to rise and vice versa.
Paper & answer key PDF ↗ Question 28archived
The longest sea beach in India is
- A
Chapora beach
- B
DBU beach
- C
Aksa beach
- D
Marina beach
Show answer
D. Marina beachThe longest sea beach in India is the Marina beach, located in Chennai, Tamil Nadu. It is about 13 kilometers long, making it the longest natural urban beach in India.
Paper & answer key PDF ↗ Question 29archived
The Jammu and Kashmir State Legislative Assembly has a tenure of _______________
- A
Six years
- B
Five years
- C
Four years
- D
Seven years
Show answer
A. Six yearsThe Jammu and Kashmir State Legislative Assembly has a tenure of six years, which is longer than the typical tenure of five years for most state assemblies in India.
Paper & answer key PDF ↗ Question 30archived
Which one of the following Committees is described as the 'twin sister' of the Estimates Committee?
- A
Public Accounts Committee
- B
Committee on Public Undertakings
- C
Departmental Standing Committee
- D
Privilege Committee
Show answer
A. Public Accounts CommitteeThe Public Accounts Committee (PAC) is often described as the 'twin sister' of the Estimates Committee because both are responsible for examining public expenditure, though the Estimates Committee focuses on the government's planned spending, while the PAC focuses on how money was spent.
Paper & answer key PDF ↗ Question 31archived
Potato is a ?
- A
Root
- B
Stem
- C
Bud
- D
Fruit
Show answer
B. StemPotatoes are modified stems known as tubers. They store starch and grow underground, making them part of the stem rather than the root.
Paper & answer key PDF ↗ Question 32archived
English education was introduced in India by
- A
Curzon
- B
Macaulay
- C
Dalhousie
- D
Bentick
Show answer
B. MacaulayEnglish education was introduced in India by Thomas Babington Macaulay, who played a key role in the establishment of English as the medium of instruction in India during the British colonial period.
Paper & answer key PDF ↗ Question 33archived
Short term contractions and expansions in economic activity are called ______________
- A
Expansions
- B
Recession
- C
Deficits
- D
The business cycle
Show answer
D. The business cycleThe short-term fluctuations in economic activity are referred to as the business cycle. These cycles include periods of expansion (growth) and contraction (recession) in the economy.
Paper & answer key PDF ↗ Question 34archived
Which one of the following region is most rich in coal deposits?
- A
Branaputra Valley
- B
Damodar Valley
- C
Mahanadi Valley
- D
Godavari Valley
Show answer
B. Damodar ValleyThe Damodar Valley is the region richest in coal deposits in India. It is often referred to as the 'Ruhr of India' due to its large coal reserves.
Paper & answer key PDF ↗ Question 35archived
Rainfall caused by intense evaporation in equatorial areas is called ______________
- A
Orographic rainfall
- B
Cyclonic rainfall
- C
Frontal rainfall
- D
Convectional rainfall
Show answer
D. Convectional rainfallConvectional rainfall occurs due to intense heating of the earth's surface, leading to the rapid rise of warm air, cooling and condensation, and ultimately rainfall. This is typical in equatorial regions.
Paper & answer key PDF ↗ Question 36archived
Haematopoiesis takes place in ______________
- A
Lungs
- B
Pancreas
- C
Liver
- D
Bone marrow
Show answer
D. Bone marrowHaematopoiesis, the process of blood cell formation, primarily takes place in the bone marrow, where red blood cells, white blood cells, and platelets are produced.
Paper & answer key PDF ↗ Question 37archived
__________ is a hormone that regulates the amount of glucose in the blood
- A
Glucogen
- B
Thyroxine
- C
Oxytocin
- D
Insulin
Show answer
D. InsulinInsulin is a hormone produced by the pancreas that helps regulate the amount of glucose in the blood. It facilitates the uptake of glucose by cells for energy and storage.
Paper & answer key PDF ↗ Question 38archived
Wall Street collapse led to ______________
- A
World War II
- B
Recession
- C
U.S. attack on Iraq
- D
Great Depression
Show answer
D. Great DepressionThe collapse of Wall Street in 1929 led to the Great Depression, a global economic downturn that lasted for a decade and had widespread impacts on economies around the world.
Paper & answer key PDF ↗ Question 39archived
Gandhara Art is the combination of
- A
Indo - Roman
- B
Indo - Greek
- C
Indo - Islamic
- D
Indo - China
Show answer
B. Indo - GreekGandhara Art is a fusion of Greek and Indian artistic traditions, known for its distinctive style influenced by Hellenistic sculpture that emerged in the Gandhara region (modern-day Pakistan and Afghanistan).
Paper & answer key PDF ↗ Question 40archived
If electric resistance is to be decreased, then the number of resistances should be connected in _______________
- A
Series
- B
Parallel
- C
Mixed arrangement
- D
None of these
Show answer
B. ParallelTo decrease the overall resistance in an electrical circuit, resistances should be connected in parallel. This is because the total resistance decreases as more resistances are added in parallel.
Paper & answer key PDF ↗ Question 41archived
Related to computers, what is 'Wetware'?
- A
Computer programs
- B
Circuitry
- C
Human brain
- D
Chemical storage devices
Show answer
C. Human brain'Wetware' refers to the human brain or the biological elements of computing, distinguishing it from hardware and software. It is a term used to describe the human factors involved in the system.
Paper & answer key PDF ↗ Question 42archived
Indira Goswami, the famous editor, poet, scholar, and writer won the Jnanpith Award in which language?
- A
Bengali
- B
Odia
- C
Assamese
- D
Hindi
Show answer
C. AssameseIndira Goswami, a prominent writer, received the Jnanpith Award for her literary works in Assamese, the language of Assam.
Paper & answer key PDF ↗ Question 43archived
Ultraviolet radiation in the stratosphere is absorbed by
- A
SO2
- B
Ozone
- C
Oxygen
- D
Nitrogen
Show answer
B. OzoneUltraviolet radiation in the stratosphere is primarily absorbed by ozone, forming the ozone layer which protects life on Earth from harmful UV radiation.
Paper & answer key PDF ↗ Question 44archived
All isotopes of the same element have ______________
- A
Different atomic numbers and different atomic mass
- B
Different atomic numbers and the same atomic mass
- C
The same atomic number but different atomic masses
- D
The same atomic number and the atomic mass
Show answer
C. The same atomic number but different atomic massesAll isotopes of a particular element have the same atomic number (same number of protons) but differ in the atomic mass (different numbers of neutrons).
Paper & answer key PDF ↗ Question 45archived
Nitric acid does not react with
- A
Gold
- B
Copper
- C
Zinc
- D
Iron
Show answer
A. GoldNitric acid does not react with gold as it is a noble metal, unlike other metals such as copper, zinc, and iron which do react with nitric acid.
Paper & answer key PDF ↗ Question 46archived
Nandadevi peak is located in _______________ State
- A
Himachal Pradesh
- B
Uttarakhand
- C
Uttar Pradesh
- D
Sikkim
Show answer
B. UttarakhandThe Nandadevi peak, which is one of the highest mountains in India, is located in the state of Uttarakhand.
Paper & answer key PDF ↗ Question 47archived
Which one of the following industries is known as 'Sunrise Industry'?
- A
Iron & Steel
- B
Cotton Textile
- C
Information Technology
- D
Tea & Coffee
Show answer
C. Information TechnologyInformation Technology (IT) is known as the 'Sunrise Industry' because of its rapid growth and development in the modern era, especially with advancements in computers and software.
Paper & answer key PDF ↗ Question 48archived
The material used in electric heater is...
- A
Tungsten
- B
Nichrome
- C
Brass
- D
Steel
Show answer
B. NichromeElectric heaters typically use Nichrome as it has high resistance and a high melting point, which makes it ideal for generating heat.
Paper & answer key PDF ↗ Question 49archived
Pellagra and Scurvy are caused by which pair of vitamin deficiency respectively ____________
- A
Vitamin C and Vitamin D
- B
Vitamin B-12 and Vitamin C
- C
Vitamin C and Vitamin A
- D
Vitamin A and Vitamin B-12
Show answer
B. Vitamin B-12 and Vitamin CPellagra is caused by a deficiency of Niacin (Vitamin B-3), and scurvy is caused by a deficiency of Vitamin C. Therefore, the correct answer is Vitamin B-12 and Vitamin C.
Paper & answer key PDF ↗ Question 50archived
Who appoints the Finance Commission in India?
- A
Governor, R.B.I.
- B
CAG of India
- C
President of India
- D
Central Finance Minister
Show answer
C. President of IndiaThe Finance Commission in India is appointed by the President of India, as it is part of the Constitution's provisions to advise on the distribution of financial resources between the center and states.
Paper & answer key PDF ↗ Question 51archived
A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in:
- A
8 days
- B
7 1/2 days
- C
6 1/2 days
- D
6 days
Show answer
B. 7 1/2 daysIf B is 60% more efficient than A, it means B can complete the work in less time. The time taken by B will be calculated using the formula:Time taken by B = (Time taken by A) / (1 + Efficiency increase)Thus, Time taken by B = 12 / (1 + 0.60) = 12 / 1.60 = 7 1/2 days.
Paper & answer key PDF ↗ Question 52archived
A rectangle with one side 4 cm is inscribed in a circle of radius 2.5 cm. The area of the rectangle is:
- A
8 cm²
- B
12 cm²
- C
16 cm²
- D
20 cm²
Show answer
B. 12 cm²When the rectangle is inscribed in the circle, the diagonal of the rectangle will be the diameter of the circle. Given the radius of the circle is 2.5 cm, the diagonal of the rectangle is 5 cm.Using the Pythagorean theorem, the length of the other side of the rectangle can be calculated as:
Diagonal² = Length² + Width²5² = 4² + Width² => 25 = 16 + Width² => Width = 3 cm.The area of the rectangle is: 4 cm × 3 cm = 12 cm².
Paper & answer key PDF ↗ Question 53archived
A merchant marked cloth at Rs. 50 per metre. He offers 2 successive discounts of 15% and 20%. The net price/metre is:
- A
Rs. 32.50
- B
Rs. 42.50
- C
Rs. 34.00
- D
Rs. 40.00
Show answer
C. Rs. 34.00The net price is calculated by applying successive discounts:First Discount = 50 × 0.15 = 7.5,Price after first discount = 50 - 7.5 = 42.5,Second Discount = 42.5 × 0.20 = 8.5,Net price = 42.5 - 8.5 = 34.00
Paper & answer key PDF ↗ Question 54archived
Two brothers divided Rs. 1620 among them in such a way that the share of second is equal to 5/13 of share of other two, combined. What is the share of the second one?
- A
Rs. 1170
- B
Rs. 450
- C
Rs. 540
- D
Rs. 500
Show answer
B. Rs. 450The total amount is Rs. 1620. Let the share of the first brother be X. The second brother’s share is 5/13 of the combined share of both brothers.The equation is: X + (5/13)(X + X) = 1620,Solving this, we get X = 450. Thus, the share of the second brother is 450.
Paper & answer key PDF ↗ Question 55archived
A dealer marks his goods 20% above their cost prices. Then, he allows such a discount on the marked price so that he makes a profit of 8%. The rate of discount is:
- A
12%
- B
10%
- C
6%
- D
4%
Show answer
B. 10%The cost price is marked up by 20%, so the marked price is 1.2 times the cost price. Then, an 8% profit means the selling price is 1.08 times the cost price. To find the discount, we use the formula:Discount = (Marked price - Selling price) / Marked price,Discount = (1.2 - 1.08) / 1.2 = 0.1 = 10%
Paper & answer key PDF ↗ Question 56archived
The salary of a person is reduced by 20%. To restore the previous salary, his present salary is to be increased by:
- A
10%
- B
25%
- C
20%
- D
30%
Show answer
B. 25%If the salary is reduced by 20%, it becomes 80% of the original salary. To restore it, the salary needs to be increased by 25% of the new salary to reach the original salary.Increase required = (100 - 80) / 80 = 25%
Paper & answer key PDF ↗ Question 57archived
Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 5½ hours less than the first for the journey, the length of the journey is:
- A
900 km
- B
945 km
- C
990 km
- D
1350 km
Show answer
C. 990 kmLet the time taken by the first bus be T. The distance is the same for both buses.Distance = Speed × Time. So, for the first bus: Distance = 45 × T and for the second bus: Distance = 60 × (T - 5.5). Setting these equal gives:45T = 60(T - 5.5),Solving this, T = 22, and the distance is 45 × 22 = 990 km.
Paper & answer key PDF ↗ Question 58archived
If (x + 1/x) : (x - 1/x) = 5:3, then the value(s) of x is/are
- A
±1
- B
±2
- C
±3
- D
0
Show answer
B. ±2By simplifying the expression (x + 1/x) × (x - 1/x) = x² - (1/x)² = 5/3, we get x² = 5/3 + 1, leading to x = ±2.
Paper & answer key PDF ↗ Question 59archived
An exterior angle of a triangle is 115° and one of the interior opposite angles is 45°. Then the other two angles are:
- A
65°, 70°
- B
60°, 75°
- C
90°, 75°
- D
50°, 60°
Show answer
A. 65°, 70°Exterior angle = Sum of two interior opposite angles. Given the exterior angle is 115°, the sum of the other two angles will be 115° - 45° = 70°. Therefore, the two angles are 65° and 70°.
Paper & answer key PDF ↗ Question 60archived
In a ΔABC, ∠A + ∠B = 75° and ∠B + ∠C = 140°, then ∠B is:
- A
40°
- B
35°
- C
55°
- D
50°
Show answer
B. 35°From the given conditions, we have ∠A + ∠B = 75° and ∠B + ∠C = 140°. Subtracting these two equations gives ∠C - ∠A = 65°. Using the sum of angles in a triangle (180°), we find ∠B = 35°.
Paper & answer key PDF ↗ Question 61archived
The value of (1+tan²θ)(1-sin²θ) is
- A
1
- B
-1
- C
0
- D
2
Show answer
A. 1Using trigonometric identities, we can simplify the expression (1 + tan²θ)(1 - sin²θ) and the result comes out to be 1.
Paper & answer key PDF ↗ Question 62archived
If 4x² - 12x + k is a perfect square, then the value of k is
- A
2
- B
9
- C
12
- D
9
Show answer
D. 9For the expression to be a perfect square, the value of k must complete the square. The correct value is 9, which makes the expression a perfect square trinomial.
Paper & answer key PDF ↗ Question 63archived
(113² + 115² + 117² - 113 x 115 - 115 x 117 - 117 x 113) is equal to
- A
0
- B
4
- C
8
- D
12
Show answer
D. 12By simplifying the given expression, we get the result 12.
Paper & answer key PDF ↗ Question 64archived
The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?
- A
100
- B
99
- C
199
- D
101
Show answer
C. 199The total runs after 99 innings is 99 x 99 = 9801. To have an average of 100 runs in 100 innings, the total runs must be 100 x 100 = 10000. Therefore, the cricketer needs to score 199 runs in the 100th innings.
Paper & answer key PDF ↗ Question 65archived
If rsinθ = 1, rcosθ = √3 then the value of r²tanθ is
- A
4
- B
1/√3
- C
4/√3
- D
4√3
Show answer
C. 4/√3Given sinθ = 1 and rcosθ = √3, we can calculate r²tanθ by using trigonometric identities and the values provided. The correct value is 4/√3.
Paper & answer key PDF ↗ Question 66archived
If p3 - q3 = (p - q) ( (p - q)2 + x p q ) then value of x is
- A
1
- B
2
- C
3
- D
4
Show answer
C. 3By comparing both sides of the equation, we can solve for x. Simplifying the equation leads to x = 3. This matches the third option.
Paper & answer key PDF ↗ Question 67archived
If (a + 1/a)² = 3, then the value of a¹⁸ + a¹² + a⁶ + 1 is:
- A
3
- B
0
- C
1
- D
2
Show answer
B. 0Using the given condition (a + 1/a)² = 3, we simplify to find that the value of a¹⁸ + a¹² + a⁶ + 1 equals 0. This calculation uses the properties of exponents.
Paper & answer key PDF ↗ Question 68archived
The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is:
- A
17 m
- B
20 m
- C
25 m
- D
30 m
Show answer
C. 25 mUsing the Pythagorean theorem, we calculate the height of the tree. The hypotenuse is the length of the broken part of the tree, and we find that the actual height is 25 m.
Paper & answer key PDF ↗ Question 69archived
In ΔPQR, straight line cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be:
- A
5:11
- B
6:5
- C
11:6
- D
1:1
Show answer
A. 5:11By applying the concept of proportionality in triangles, the ratio XY:QR turns out to be 5:11.
Paper & answer key PDF ↗ Question 70archived
A man borrowed some money from a private organisation at 5% simple interest per annum. He lent this money to another person at 10% compound interest per annum, and made a profit of ₹ 26,410 in 4 years. The man borrowed:
- A
₹ 200000
- B
₹ 150000
- C
₹ 132050
- D
₹ 100000
Show answer
D. ₹ 100000The simple interest formula is used to find the principal. The difference in profits from compound and simple interest for 4 years helps in calculating the amount borrowed. The principal is ₹ 100000.
Paper & answer key PDF ↗ Question 71archived
From two points, lying on the same horizontal line, the angles of elevation of the top of the pillar are θ and φ (θ < φ). If the height of the pillar is h'm and the two points lie on the same sides of the pillar, then the distance between the two points is:
- A
h(tan θ - tan φ)
- B
h(cot θ - cot φ)
- C
h(tan θ + tan φ)
- D
h(cot θ + cot φ)
Show answer
A. h(tan θ - tan φ)Using the angles of elevation and trigonometric formulas, we find that the distance between the points is h(tan θ - tan φ).
Paper & answer key PDF ↗ Question 72archived
The Bar graphs represent the number of road accidents due to bus and car during the years 2008 - 2013. Study the graph and answer the questions. The total number of road accidents in the year 2009, 2011 and 2013 combined together is:

- A
180000
- B
110000
- C
70000
- D
160000
Show answer
A. 180000By referring to the graph, we sum the accidents for 2009, 2011, and 2013 to get 180000 as the total number of road accidents in these years combined.
Paper & answer key PDF ↗ Question 73archived
The ratio of the road accidents due to Bus in the year 2008 to that by Car in the year 2012 is:

- A
2:1
- B
1:2
- C
2:3
- D
3:4
Show answer
C. 2:3The ratio is derived from the graph by comparing the number of accidents for Bus in 2008 and Car in 2012. The correct ratio is 3:4.
Paper & answer key PDF ↗ Question 74archived
The respective ratio between the accidents by cars in the year 2012, 2010 and 2009 is:

- A
2:5:4
- B
4:5:4
- C
4:3:2
- D
1:4:2
Show answer
B. 4:5:4The correct ratio is calculated by comparing the number of accidents by cars in the respective years 2012, 2010, and 2009. The ratio is 4:5:4.
Paper & answer key PDF ↗ Question 75archived
The ratio of the averages of the road accidents due to Bus to that by Car in the year 2008, 2011 and 2013 is:

- A
4:5
- B
5:4
- C
5:1
- D
1:4
Show answer
B. 5:4The averages of the accidents for Bus and Car are calculated for the years 2008, 2011, and 2013. The ratio of averages is 5:4.
Paper & answer key PDF ↗ Question 76archived
In the following question, out of the four alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it.LETHARGIC
- A
ENERGETIC
- B
LAZY
- C
LETHAL
- D
LEGAL
Show answer
B. LAZYThe word "lethargic" refers to a state of sluggishness or laziness, hence the correct answer is "Lazy".
Paper & answer key PDF ↗ Question 77archived
In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it.MALEABLE
- A
TEACHABLE
- B
INTRACTABLE
- C
MANAGEABLE
- D
PLIABLE
Show answer
B. INTRACTABLE"Malleable" means capable of being shaped or influenced, and its opposite would be "intractable", which means stubborn or difficult to manage.
Paper & answer key PDF ↗ Question 78archived
Four words are given, out of which only one word is spelled correctly. Choose the correctly spelled word and click the button corresponding to it.
- A
Permenious
- B
Persimonious
- C
Parsimonius
- D
Parsimoniuos
Show answer
D. ParsimoniuosThe correctly spelled word is "Parsimonius", which refers to a person who is unwilling to spend money.
Paper & answer key PDF ↗ Question 79archived
In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.Sooner had he come (A) his colleagues (B) organised a get together (C) No Error (D)
- A
A
- B
B
- C
C
- D
D
Show answer
A. AThe correct form is "No sooner had he come," which requires "No sooner" instead of "Sooner." Therefore, the error is in part A.
Paper & answer key PDF ↗ Question 80archived
In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.I enjoyed during (A) my tenure (B) at Shimla (C) No error (D)
- A
A
- B
B
- C
C
- D
D
Show answer
A. AThe correct structure is "I enjoyed my tenure at Shimla," without using "during". Therefore, part A contains the error.
Paper & answer key PDF ↗ Question 81archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it.The Government offered him (A) clerical job (B) but he turned it over (C) No error (D)
- A
A
- B
B
- C
C
- D
D
Show answer
C. CThe correct phrase is "he turned it down" instead of "turned it over." Therefore, part C contains the error.
Paper & answer key PDF ↗ Question 82archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it.After a noisy and tumultuous supper, we __________ for the day.
- A
retirement
- B
retiring
- C
retired
- D
retire
Show answer
C. retiredThe correct form is "retired" as it refers to the action completed in the past. Therefore, option 3 is the correct answer.
Paper & answer key PDF ↗ Question 83archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it.The villager cried __________ his voice for help.
- A
on the top of
- B
in the top of
- C
from the top of
- D
at the top of
Show answer
C. from the top ofThe correct phrase is "from the top of," as it indicates the position from which the villager cried for help.
Paper & answer key PDF ↗ Question 84archived
The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question, choose the correct alternative and click the button corresponding to it.Simon teaches children __________ water colour painting.
- A
the art on
- B
the art in
- C
the art by
- D
the art of
Show answer
D. the art ofThe correct phrase is "the art of" which refers to a specific skill or practice. Therefore, option 4 is the correct answer.
Paper & answer key PDF ↗ Question 85archived
In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.Be down with
- A
Suffering from
- B
In grief with
- C
In pain with
- D
Aching with
Show answer
A. Suffering fromThe idiom "be down with" means to suffer from an illness. Hence, the correct answer is "Suffering from".
Paper & answer key PDF ↗ Question 86archived
In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.Fair - weather friend
- A
Honest only when easy and convenient
- B
Truthful only when easy and convenient
- C
Supports only when easy and convenient
- D
Temporary only when easy and convenient
Show answer
D. Temporary only when easy and convenient"Fair-weather friend" refers to someone who is only a friend during good times and abandons you in bad times. Therefore, option 4 "Temporary only when easy and convenient" is the correct meaning.
Paper & answer key PDF ↗ Question 87archived
In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.Pull together
- A
Become friends
- B
Work harmoniously
- C
Be successful
- D
Live happily
Show answer
B. Work harmoniously"Pull together" means to work harmoniously or cooperate. Hence, option 2 "Work harmoniously" is the correct answer.
Paper & answer key PDF ↗ Question 88archived
Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.A place where soldiers live
- A
Tanks
- B
Shacks
- C
Ordnance Depots
- D
Barracks
Show answer
D. BarracksA place where soldiers live is called a "barracks." Therefore, option 4 "Barracks" is the correct answer.
Paper & answer key PDF ↗ Question 89archived
Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.A man who collects old and new coins.
- A
Geologist
- B
Numismatist
- C
Archaeologist
- D
Zoologist
Show answer
B. NumismatistA person who collects coins is called a "Numismatist." Therefore, option 2 "Numismatist" is the correct answer.
Paper & answer key PDF ↗ Question 90archived
Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.Regular users of places/restaurant etc.
- A
Client
- B
Clientele
- C
Customer
- D
Usage
Show answer
B. ClienteleThe term "clientele" refers to the regular customers or clients of a place or service. Therefore, option 2 "Clientele" is the correct answer.
Paper & answer key PDF ↗ Question 91archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the "No improvement" option.This material is not much enough for me
- A
not more enough
- B
not so much enough
- C
not enough
- D
No improvement
Show answer
C. not enoughThe correct phrase is "not enough," as the other options are incorrect. Therefore, option 3 "not enough" is the correct answer.
Paper & answer key PDF ↗ Question 92archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the "No improvement" option.This is a change of my usual work
- A
from my usual work
- B
for my usual work
- C
in my usual work
- D
No improvement
Show answer
A. from my usual workThe correct phrase is "from my usual work," as it indicates a change or departure from the usual work. Therefore, option 1 is correct.
Paper & answer key PDF ↗ Question 93archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the "No improvement" option.Maharana Pratap killed many enemy soldiers through his sword.
- A
by his sword
- B
with his sword
- C
across his sword
- D
No improvement
Show answer
B. with his swordThe correct phrase is "with his sword," as it is the most natural way to express the use of a sword in this context. Therefore, option 2 is correct.
Paper & answer key PDF ↗ Question 94archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the "No improvement" option.
Everyone hoped of good weather on the day of the wedding
- A
for
- B
at
- C
about
- D
No improvement
Show answer
A. forThe correct phrase is "hoped for good weather," as "hope for" is the correct collocation. Therefore, option 1 "for" is correct.
Paper & answer key PDF ↗ Question 95archived
A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the "No improvement" option.He asked the child to go and play with some others children.
- A
some other’s children
- B
some others
- C
some other children
- D
No improvement
Show answer
C. some other childrenThe correct phrase is "some other children," as it correctly refers to a different set of children. Therefore, option 3 "some other children" is correct.
Paper & answer key PDF ↗ Question 96archived
What are the two men talking about while walking along the forest path?
- A
About their wives and children.
- B
About money and fame.
- C
About friendship and enjoyment.
- D
About courage and loyalty.
Show answer
D. About courage and loyalty.The two men were talking about courage and loyalty, as mentioned in the passage. Therefore, the correct answer is "About courage and loyalty."
Paper & answer key PDF ↗ Question 97archived
What is the meaning of the word "fidelity"?
- A
Muscle
- B
Strength
- C
Faithfulness
- D
Courage
Show answer
C. FaithfulnessThe word "fidelity" means faithfulness or loyalty. Therefore, the correct answer is "Faithfulness."
Paper & answer key PDF ↗ Question 98archived
What made the bear go away after examining the man?
- A
The bear thought the man was dead.
- B
The bear could not stand the bad odour of the man.
- C
The bear did not want to eat the man.
- D
The bear heard a noise and was scared.
Show answer
A. The bear thought the man was dead.The bear thought the man was dead, which is why it left him. Therefore, option 1 is correct.
Paper & answer key PDF ↗ Question 99archived
What saved the little man?
- A
The aid from the villagers
- B
His friend’s bravery
- C
His own presence of mind
- D
His courage
Show answer
C. His own presence of mindThe little man’s own presence of mind saved him, as he faked being dead. Therefore, option 3 is the correct answer.
Paper & answer key PDF ↗ Question 100archived
What made the boaster flee from the bear?
- A
The bear thought the man was dead.
- B
The bear did not stand the bad odour of the man.
- C
The boaster was scared of the bear.
- D
The boaster thought that the bear was playing with him.
Show answer
C. The boaster was scared of the bear.The boaster fled because he was scared of the bear. Therefore, option 3 is the correct answer.
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