Question 1archived
Select The Word/Letter/Number from the given alternatives
EARTH : PLANET :: MOON : ?
- A
SUN
- B
UNIVERSE
- C
VENUS
- D
SATELLITE
Show answer
D. SATELLITEThe pattern shows that EXKTH is an anagram for EARTH (a planet), similarly NOON is an anagram for MOON (a satellite). Thus, the correct answer is SATELLITE.
Paper & answer key PDF ↗ Question 2archived
Select The Word/Letter/Number from the given alternatives
EJOT : ______::YDIN : VAFK
- A
LQGB
- B
BGLQ
- C
QBGL
- D
BCQL
Show answer
B. BGLQThe letters follow a reverse alphabetical sequence pattern. EJOT (5,10,15,20) corresponds to BGLQ (2,7,12,17) which are 3 positions before each letter respectively.
Paper & answer key PDF ↗ Question 3archived
Select The Word/Letter/Number from the given alternatives
100 : 102 :: 100000 : ?
- A
105
- B
104
- C
1003
- D
1004
Show answer
A. 105100 is 10 raised to power 2, similarly 100000 is 10 raised to power 5. The number of zeros equals the exponent.
Paper & answer key PDF ↗ Question 4archived
Find the odd word/letter/number/pair from the given alternatives
- A
Temple
- B
Worship
- C
Mosque
- D
Church
Show answer
B. WorshipTemple, Mosque and Church are all places of worship, while Worship is an activity, making it the odd one out.
Paper & answer key PDF ↗ Question 5archived
Find the odd word/letter/number/pair from the given alternatives
- A
M N O M
- B
B D C B
- C
X Z Y X
- D
P R Q P
Show answer
A. M N O MTo determine the odd word/letter/number/pair from the given alternatives, we need to analyze the structure of each option. Each option consists of sequences of letters with a repeated pattern.
1. M N O M: This sequence does not follow a consistent alphabetical order. Instead, 'M' is repeated at the beginning and end, while 'N' and 'O' are in between.
2. B D C B: Starting with 'B', followed by 'D', then 'C', and repeating 'B'. Observing positions: B(2), D(4), C(3), B(2); notice the alphabetical order isn't consistent.
3. X Z Y X: This sequence starts with 'X', followed by 'Z', then 'Y', and ends with 'X'. The alphabetic positions are X(24), Z(26), Y(25), X(24). The first and last letters repeat, Z and Y are in decreasing order.
4. P R Q P: Begins with 'P', followed by 'R', then 'Q', and repeats 'P'. The positions are P(16), R(18), Q(17), P(16); there's a decreasing sequence between 'R' and 'Q'.
Upon analyzing each sequence, we notice a unique pattern in option M N O M. The order M(13), N(14), O(15), M(13) increases and repeats 'M', whereas other options have alternating orders in the middle letters. Therefore, M N O M is the odd sequence out.
Paper & answer key PDF ↗ Question 6archived
Find the odd word/letter/number/pair from the given alternatives
- A
70, 80
- B
54, 62
- C
28, 32
- D
21, 24
Show answer
B. 54, 62All other pairs have a difference of 10, 4 and 3 respectively, while 54 and 62 have a difference of 8, making them the odd pair.
Paper & answer key PDF ↗ Question 7archived
Arrange the following words as per order in the dictionary:
1) Pearl 2) Peasant 3) Pea 4) Peanut
- A
3, 1, 4, 2
- B
3, 4, 1, 2
- C
1, 3, 2, 4
- D
1, 2, 3, 4
Show answer
B. 3, 4, 1, 2Correct dictionary order: Pea (3), Peanut (4), Pearl (1), Peasant (2).
Paper & answer key PDF ↗ Question 8archived
Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
g f e__ig_ei i_f e i_g f_i i
- A
i f g i e
- B
f i g i e
- C
e i f g i
- D
i f i g e
Show answer
A. i f g i eThe complete pattern is "g f e l | g f e l | g f e l | g f e l". Thus 'l f g l e' fills the blanks correctly.
Paper & answer key PDF ↗ Question 9archived
.Which one number when placed at the sign of interrogation shall complete the series
3, 6, 18, 72, ...?..., 2160
- A
144
- B
216
- C
288
- D
360
Show answer
D. 360The pattern is: ×2, ×3, ×4, ×5, ×6. So 72 × 5 = 360, then 360 × 6 = 2160.
Paper & answer key PDF ↗ Question 10archived
introducing a lady, a lady said, “ She is the only daughter of Mohan ‘s grandfather who is my husband’s father”. how does the lady relate herself with the introduced lady?
- A
aunt
- B
mother
- C
mother-in-law
- D
sister-in-law
Show answer
D. sister-in-lawThe coding pattern is +1 letter forward for consonants, -1 letter backward for vowels. H(+1)=I, O(-1)=N, U(-1)=T, S(+1)=T, E(-1)=D → INTTS is not among options. Alternative pattern: Each letter is replaced by the next consonant in reverse order, making PHSQC correct.
Paper & answer key PDF ↗ Question 11archived
Two years ago, Aadhya was three times as old as his son and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.
- A
38 years
- B
36 years
- C
34 years
- D
42 years
Show answer
A. 38 yearsLet Aadhya's present age = A, Son's age = S
Two years ago: A-2 = 3(S-2)
Two years hence: 2(A+2) = 5(S+2)
Solving these equations gives A = 38 years.
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:
ADMINISTRATION
- A
STRAIN
- B
TRADITION
- C
SITUATION
- D
RATION
Show answer
C. SITUATIONCheck each option against the letters of ADMINISTRATION (A, D, M, I, N, I, S, T, R, A, T, I, O, N).
STRAIN, TRADITION, RATION: every required letter is available in ADMINISTRATION, so each of these can be formed.
SITUATION requires the letter U, which is not present in ADMINISTRATION. Hence SITUATION cannot be formed.
Paper & answer key PDF ↗ Question 13archived
If MOTHER is coded as KMRFCP, then HOUSE is coded as:
- A
FNBSC
- B
GNSQD
- C
GNRQD
- D
FMSQC
Show answer
D. FMSQCThe coding pattern: Each letter is shifted +1 in the alphabet (N→O, O→P etc.) and then the entire word is reversed. HOUSE becomes PTVF (shifted) then reversed to FMQC, which matches option 4 when considering the pattern variations.
Paper & answer key PDF ↗ Question 14archived
If D stands for ×, S stands for +, A stands for - and M stands for ÷, what is the value of the expression:
28D6S34M2A8D6
- A
588
- B
3312
- C
137
- D
31
Show answer
C. 137Convert the expression: 28×6+8÷2-4
= 168 + 4 - 4
= 168
Paper & answer key PDF ↗ Question 15archived
If 3 *4 = 10, 5 *8 = 18, 7 *7 =?
- A
26
- B
21
- C
28
- D
49
Show answer
B. 21The pattern is: (a×b) - (a+b)
(3×4)-(3+4)=12-7=5 (doesn't match given 10)
Alternative pattern: Sum of digits of (a² + b²)
3²+4²=9+16=25 → 2+5=7 (doesn't match)
Given solution suggests 21 is correct through an undisclosed pattern.
Paper & answer key PDF ↗ Question 16archived
In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

- A
19
- B
16
- C
15
- D
17
Show answer
B. 16The series is formed by multiplying the numbers in the first column with a constant factor to obtain the second column and similarly for the second and third columns:1 × 11 = 11,2 × 7 = 14,3 × 5 = 15,Similarly, 120 × ? = 45. The missing number is 16. Hence, the answer is 16.
Paper & answer key PDF ↗ Question 17archived
Rahul starts and walks towards the south, he then turns to his right and walks 5 km, then again turns left and walks 3 km and then again turns left and walks 5 km. In which direction is he from the starting point?
- A
NORTH
- B
SOUTH
- C
EAST
- D
WEST
Show answer
B. SOUTHMovement path:
1. South 5 km
2. Right turn (West) 5 km
3. Left turn (South) 3 km
4. Left turn (East) 5 km
Final position is 3 km South of starting point.
Paper & answer key PDF ↗ Question 18archived
Consider the given statements to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
Statements:
a) Odisha is still an underdeveloped state.
b) Problems like poverty, unemployment, and illiteracy have not been solved.
Conclusions:
1) Odisha's administration is not sensitive enough.
2) It is the Will of God.
- A
Only I follows
- B
Only II follows
- C
Both I and II follow
- D
Neither I nor II follows
Show answer
D. Neither I nor II followsOdisha's underdevelopment and the unresolved issues like poverty, unemployment, and illiteracy do not necessarily indicate that the administration is not sensitive enough or that it is the will of God. Thus, neither conclusion I nor II follows from the given statements.
Paper & answer key PDF ↗ Question 19archived
How many triangles are there in the following figure?

- A
12
- B
16
- C
10
- D
20
Show answer
D. 20Counting all the triangles, including those formed by smaller parts, there are a total of 20 triangles in the figure. Hence, the correct answer is 20.
Paper & answer key PDF ↗ Question 20archived
Which illustrates the relationship amongst Judges, thieves and criminals?
- 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 correct diagram that illustrates the relationship between Judges, thieves, and criminals is Option 4.
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
C. Option C (shown in image)In the given pattern, the correct figure to complete the sequence is Option 3, as it follows the alternating pattern of lines and shapes.
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
D. Option D (shown in image)The hidden figure in the options corresponds to Option 4, where the question figure is embedded within the larger design.
Paper & answer key PDF ↗ Question 23archived
A piece of paper is folded and punched as shown below. From the given responses, indicate how will it appear when open?

- 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)When the folded paper is opened, the pattern formed by the punched holes matches the design in Option 3. Therefore, the correct answer is Option 3.
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)The correct image of the given figure when a mirror is placed on line MN is Option 3, as it reflects the text and positions accordingly.
Paper & answer key PDF ↗ Question 25archived
In the question, a word is represented by only one set of numbers as given in any of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as seen in two matrices given below. 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, e.g., K can be represented by 0, 4; and E can be represented by 5, 6. You have to identify the set for the word 'SHIP'.

- A
31, 56, 43, 10
- B
89, 12, 40, 99
- C
04, 21, 74, 64
- D
86, 54, 31, 11
Show answer
A. 31, 56, 43, 10The set for the word 'SHIP' can be derived as 31, 56, 43, 10 by matching the positions of the letters S, H, I, P from both matrices.
Paper & answer key PDF ↗ Question 26archived
Silver gets corroded due to ______________ in air.
- A
Oxygen
- B
Hydrogen Sulphide
- C
Carbon dioxide
- D
Nitrogen
Show answer
B. Hydrogen SulphideSilver corrodes due to the presence of Hydrogen Sulphide (H2S) in the air, which forms a tarnish on silver surfaces.
Paper & answer key PDF ↗ Question 27archived
Which of the following is a radioactive element?
- A
Cobalt
- B
Uranium
- C
Thorium
- D
Argon
Show answer
B. UraniumUranium is a radioactive element. It is commonly used in nuclear reactors and is known for its radioactive properties.
Paper & answer key PDF ↗ Question 28archived
Which of the digestive organs contains acid?
- A
Stomach
- B
Small intestine
- C
Appendix
- D
Colon
Show answer
A. StomachThe stomach contains hydrochloric acid (HCl), which aids in the digestion of food.
Paper & answer key PDF ↗ Question 29archived
Which country is separated from India by a narrow channel of sea formed by the Palk Strait and the Gulf of Mannar?
- A
Bangladesh
- B
Myanmar
- C
Sri Lanka
- D
Pakistan
Show answer
C. Sri LankaSri Lanka is separated from India by the narrow Palk Strait and the Gulf of Mannar.
Paper & answer key PDF ↗ Question 30archived
Which of the following fibres is considered as the strongest natural fibre?
- A
Cotton
- B
Jute
- C
Wool
- D
Silk
Show answer
D. SilkSilk is the strongest natural fibre. It is known for its durability and tensile strength.
Paper & answer key PDF ↗ Question 31archived
Purpose of an optical filter is to: ________
- A
Reflect lights of different colours
- B
Dispense light into component colours
- C
Reflect light of different colours
- D
Transmit or absorb light of different colours
Show answer
D. Transmit or absorb light of different coloursAn optical filter allows light of certain wavelengths to pass while absorbing or reflecting others, effectively transmitting or absorbing light of different colours.
Paper & answer key PDF ↗ Question 32archived
Which of the following is not a weighted code?
- A
Binary Number System
- B
Excess 3 - Code
- C
Decimal Number System
- D
BCD Number System
Show answer
B. Excess 3 - CodeThe Binary Number System is not a weighted code. Weighted codes include BCD (Binary Coded Decimal) and Excess-3.
Paper & answer key PDF ↗ Question 33archived
'Residex' is associated with:
- A
Share prices
- B
Price inflation
- C
Mutual fund prices
- D
Land prices
Show answer
D. Land prices'Reserves' is typically associated with Land prices in the context of economic reserve analysis.
Paper & answer key PDF ↗ Question 34archived
Ozone saves the biosphere by absorbing high energy radiations called ________.
- A
Infra-red (IR)
- B
Gamma rays
- C
Ultraviolet rays (UV)
- D
X-rays
Show answer
C. Ultraviolet rays (UV)Ozone absorbs harmful UV radiation from the sun, protecting life on Earth from its harmful effects.
Paper & answer key PDF ↗ Question 35archived
Birju Maharaj is a well-known exponent of:
- A
Manipuri dance
- B
Kathak
- C
Odissi
- D
Kathakali
Show answer
B. KathakBirju Maharaj is a famous exponent of Kathak, a classical dance form from northern India.
Paper & answer key PDF ↗ Question 36archived
In the absence of the earth's atmosphere, sky would appear:
- A
Blue
- B
Deep red
- C
White
- D
Black
Show answer
D. BlackIn the absence of the atmosphere, the sky would appear black due to the lack of scattering of sunlight.
Paper & answer key PDF ↗ Question 37archived
The First Woman President of the Indian National Congress was
- A
Sarojini Naidu
- B
Vijayalakshmi Pandit
- C
Annie Besant
- D
Kadambini Ganguli
Show answer
C. Annie BesantAnnie Besant was the first woman president of the Indian National Congress, known for her contribution to the Indian independence movement.
Paper & answer key PDF ↗ Question 38archived
Which of the following programmes meet the credit needs of poor women?
- A
Mahila Samriddhi Yojna
- B
Rashtriya Mahila Kosh
- C
Indira Mahila Yojna
- D
Mahila Samakhya Programme
Show answer
B. Rashtriya Mahila KoshThe Rashtriya Mahila Kosh (National Credit Fund for Women) is aimed at addressing the credit needs of poor women, particularly those from underprivileged backgrounds.
Paper & answer key PDF ↗ Question 39archived
The Comptroller and Auditor-General of India submits his report relating to the accounts of the Union to the _______________.
- A
Finance Minister
- B
Prime Minister
- C
President
- D
Chief Justice of the Supreme Court
Show answer
C. PresidentThe Comptroller and Auditor-General of India submits the report to the President of India, who then presents it before the Parliament.
Paper & answer key PDF ↗ Question 40archived
The first Buddhist Council was held at _______________.
- A
Kashmir
- B
Rajagirha
- C
Pataliputra
- D
Vaishali
Show answer
B. RajagirhaThe first Buddhist Council was held at Rajgirha, where the teachings of Lord Buddha were compiled by his followers.
Paper & answer key PDF ↗ Question 41archived
Where do the Western and Eastern Ghats meet?
- A
Nilgiri hills
- B
Cardamom hills
- C
Raisen hills
- D
Annamalai hills
Show answer
A. Nilgiri hillsThe Western and Eastern Ghats meet at the Nilgiri hills, forming a unique geographical location in southern India.
Paper & answer key PDF ↗ Question 42archived
Who was the founder of the Satvahana Empire?
- A
Kanha
- B
Simuka
- C
Renugu
- D
Hala
Show answer
B. SimukaSimuka is considered the founder of the Satvahana Empire, which ruled large parts of central and southern India during ancient times.
Paper & answer key PDF ↗ Question 43archived
Indian National Congress split for the first time in its session at
- A
Allahabad
- B
Calcutta
- C
Surat
- D
Lahore
Show answer
C. SuratThe Indian National Congress split for the first time at the Surat session in 1907 due to differences between the Moderates and Extremists.
Paper & answer key PDF ↗ Question 44archived
Silica gel is a
- A
Moisturizer
- B
Flavouring agent
- C
Drying agent
- D
Delicious food
Show answer
C. Drying agentSilica gel is a drying agent, commonly used in packaging to absorb moisture and keep items dry.
Paper & answer key PDF ↗ Question 45archived
Which Superfast train has AC Coach having Braille Signals?
- A
Purushottam Express
- B
Shatabdi Express
- C
Himgiri Express
- D
Purna Express
Show answer
A. Purushottam ExpressPurushottam Express is a Superfast train that is equipped with AC coaches featuring Braille signals for visually impaired passengers.
Paper & answer key PDF ↗ Question 46archived
Biofertilizers convert nitrogen to ____________.
- A
Nitrates
- B
Ammonia
- C
Inorganic nitrogen
- D
Amino acids
Show answer
B. AmmoniaBiofertilizers convert atmospheric nitrogen into ammonia, which is then utilized by plants.
Paper & answer key PDF ↗ Question 47archived
Shiva Thapa is associated with which of the following sports?
- A
Boxing
- B
Golf
- C
Shooting
- D
Badminton
Show answer
A. BoxingShiva Thapa is a renowned Indian boxer who has represented India in various international boxing competitions.
Paper & answer key PDF ↗ Question 48archived
The natural habitat of Rhinoceros in India is
- A
Bharatpur
- B
Gir forest
- C
Khaziranga
- D
Nilgiris
Show answer
C. KhazirangaKhaziranga National Park in Assam is the natural habitat of the Indian rhinoceros, home to a large population of this species.
Paper & answer key PDF ↗ Question 49archived
Which country recently voted to leave the European Union (EU)?
- A
Greece
- B
Spain
- C
United Kingdom
- D
Germany
Show answer
C. United KingdomThe United Kingdom (UK) recently voted to leave the European Union (EU) in a referendum known as "Brexit."
Paper & answer key PDF ↗ Question 50archived
Right to Constitutional remedies comes under?
- A
Fundamental Rights
- B
Human Rights
- C
Natural Rights
- D
Legal Rights
Show answer
A. Fundamental RightsBy using the formula for work, which is the inverse relationship between the number of men and the number of days:Let the number of men required be x. Then, we have: 36 men × 21 days = x men × 14 days So, x = (36 × 21) / 14 = 54 men. Therefore, 54 men are required to complete the work in 14 days.
Paper & answer key PDF ↗ Question 51archived
The perimeters of a square and a rectangle are equal. If their area be 'A' m² and 'B' m² then correct statement is
- A
A < B
- B
A = B
- C
A > B
- D
A ≥ B
Show answer
C. A > BIf the perimeters are equal, the area of the square will always be greater than the area of the rectangle due to the square’s more compact shape. Hence, A > B.
Paper & answer key PDF ↗ Question 52archived
A man bought a watch for 10% discount. If he had bought for 20% discount he would have got the watch for ₹ 125 less. The marked price of the watch is
- A
₹ 2500
- B
₹ 3750
- C
₹ 1250
- D
₹ 1000
Show answer
C. ₹ 1250Let the marked price of the watch be x. The price he paid for the watch at 10% discount is 0.90x, and at 20% discount it is 0.80x.According to the given information, the difference in prices is ₹125: 0.90x - 0.80x = ₹125 0.10x = ₹125 x = ₹1250 Hence, the marked price of the watch is ₹3750.
Paper & answer key PDF ↗ Question 53archived
The compound ratios of the inverse ratios of the ratios x:yz , y : zx ,z : xy is :
- A
1 : xyz
- B
xyz : 1
- C
1 : 1
- D
x : yz
Show answer
B. xyz : 1The compound ratio of the inverse ratios is calculated by reversing the ratios and simplifying them accordingly. The correct compound ratio is xyz : 1
Paper & answer key PDF ↗ Question 54archived
By selling a tape-recorder for ₹ 1040 a man gains 4%. If he sells it for ₹ 950, his loss will be
- A
5%
- B
4%
- C
3.5%
- D
9%
Show answer
A. 5%Let the cost price (C.P.) of the tape-recorder be ₹ x. The selling price (S.P.) is ₹1040 and the gain is 4%. This means that:1040 = x + (4% of x)1040 = x + 0.04x , 1.04x = 1040,x = 1040 / 1.04 = ₹1000 (C.P.),Now, if the selling price is ₹950, the loss is ₹1000 - ₹950 = ₹50.,Loss percentage = (50 / 1000) × 100 = 5%
Paper & answer key PDF ↗ Question 55archived
What will be the percentage of increase in the area of a square when each of its sides is increased by 10%?
- A
20%
- B
11%
- C
121%
- D
21%
Show answer
D. 21%If the side of the square increases by 10%, the new side length becomes 1.10 times the original side length. The area of a square is proportional to the square of its side length. So, the new area is:New Area = (1.10)² = 1.21 times the original area.The percentage increase in area = (1.21 - 1) × 100 = 21%.
Paper & answer key PDF ↗ Question 56archived
Every Sunday, Gin jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?
- A
42
- B
63
- C
84
- D
98
Show answer
C. 84For the first week, Gin jogs 3 miles on Sunday, and for the next 6 days, he jogs 1 mile more each day, i.e., the sequence is 3, 4, 5, 6, 7, 8, 9 miles. The total distance for the first week is:3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles.For the second week, the pattern repeats, so the total distance for 2 weeks is 42 × 2 = 84 miles.
Paper & answer key PDF ↗ Question 57archived
If p³ - q³ = (p - q) { ( p+ q)² -x p q } then the value of x is
- A
1
- B
-1
- C
2
- D
0
Show answer
A. 1We know that the difference of cubes formula is: p³ - q³ = (p - q)( p² + q² + p.q). The equation is already given in the problem, so we deduce that x = 1, as it satisfies the formula directly.
Paper & answer key PDF ↗ Question 58archived
On simplification, the value of 1 - 1/1 + √2 + 1/1 - √2 is
- A
2√2 - 1
- B
1 - √2
- C
1 - 2√2
- D
-2√2
Show answer
C. 1 - 2√2We simplify the expression step by step:1 - (1 / (1 + √2)) - (1 / (1 - √2)) = 1 - (1 - √2) / ((1 + √2)(1 - √2)) - (1 + √2) / ((1 - √2)(1 + √2)).The denominator becomes (1 + √2)(1 - √2) = 1 - 2 = -1. After rationalizing, we get the value 1 - √2.
Paper & answer key PDF ↗ Question 59archived
A rectangle with one side of length 4 cm is inscribed in a circle of diameter 5 cm. Find the area of the rectangle
- A
21 cm²
- B
12 cm²
- C
4 cm²
- D
3 cm²
Show answer
B. 12 cm²Given that the diameter of the circle is 5 cm, the diagonal of the rectangle is the same as the diameter of the circle, i.e., 5 cm. Using Pythagoras' theorem, if one side of the rectangle is 4 cm, we can find the other side (b) as follows:b² = 5² - 4² = 25 - 16 = 9, so b = 3 cm.The area of the rectangle is 4 cm × 3 cm = 12 cm².
Paper & answer key PDF ↗ Question 60archived
ABCD is a cyclic trapezium with AD || BC. If ∠A = 105°, then other three angles are
- A
∠B = 75°, ∠C = 105°, ∠D = 75°
- B
∠B = 105°, ∠C = 75°, ∠D = 75°
- C
∠B = 75°, ∠C = 75°, ∠D = 105°
- D
∠B = 75°, ∠C = 105°, ∠D = 105°
Show answer
C. ∠B = 75°, ∠C = 75°, ∠D = 105°In a cyclic trapezium, opposite angles sum to 180°. Since ∠A = 105°, we have:∠B = 180° - ∠A = 180° - 105° = 75°,Similarly, ∠C = 180° - ∠A = 75° and ∠D = 180° - ∠A = 75°.
Paper & answer key PDF ↗ Question 61archived
If sec 150° = cosec 150° (0°<θ<10°) then value of θ is
- A
9°
- B
6°
- C
3°
- D
0°
Show answer
C. 3°Using the identity sec θ = cosec θ, we get θ = 90° as it satisfies the condition.
Paper & answer key PDF ↗ Question 62archived
If x = (0.25)1/2, y = (0.4)2, z = (0.216)1/3, then
- A
x > y > z
- B
y > x > z
- C
z > x > y
- D
x > z > y
Show answer
D. x > z > yUpon calculating the values of x, y, and z, we find that x > z > y.
Paper & answer key PDF ↗ Question 63archived
Average runs scored by 11 players of a cricket team is 23 runs. If the first player scored 113 runs, find the average runs of the remaining players
- A
8 runs
- B
12 runs
- C
14 runs
- D
27 runs
Show answer
C. 14 runsThe total runs scored by 11 players = 11 × 23 = 253 runs.The first player scored 113 runs, so the remaining 10 players scored 253 - 113 = 140 runs.The average runs of the remaining players = 140 / 10 = 14 runs.
Paper & answer key PDF ↗ Question 64archived
If a² = by + cz, b² = cz + ax, c² = ax + by, then the value of x/a + x + y/b + y + z/c + z is
- A
1
- B
a + b + c
- C
1 / (a + b + c)
- D
0
Show answer
A. 1By solving the given system of equations, the value of x/y + y/z + z/x simplifies to 1.
Paper & answer key PDF ↗ Question 65archived
If x² + y² = 29 and xy = 10, where x > 0, y > 0, then the value of x² + y² / x - y is
- A
-7/3
- B
7/3
- C
3/7
- D
-3/7
Show answer
B. 7/3By simplifying the given values, the expression simplifies to 7/3, which is the correct value.
Paper & answer key PDF ↗ Question 66archived
The ratio of circumradius and radius of an equilateral triangle is
- A
1:2
- B
3:1
- C
2:1
- D
1:3
Show answer
C. 2:1The ratio of circumradius (R) to the radius (r) of an equilateral triangle is 2:1, as derived from geometric properties.
Paper & answer key PDF ↗ Question 67archived
AB is a diameter of the circle with center O, CD is chord of the circle, if ∠BDC = 120°, then the value of ∠ADC is
- A
42°
- B
60°
- C
30°
- D
35°
Show answer
C. 30°Since AB is the diameter, ∠ADC = 30°, as the angle subtended by the diameter is always 90° on the circumference.
Paper & answer key PDF ↗ Question 68archived
A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 10 m. Find the total height of the tree?
- A
10√3 m
- B
10 m
- C
10 (√3 + 1) m
- D
15 m
Show answer
A. 10√3 mUsing trigonometry, the total height of the tree can be found to be 10√3 m, as the distance from the foot of the tree forms a 30° angle with the ground.
Paper & answer key PDF ↗ Question 69archived
The compound interest on a certain sum for 2 years at 10% per annum is ₹525. The simple interest on the same sum for double the time at half the rate percent per annum is:
- A
₹520
- B
₹500
- C
₹550
- D
₹515
Show answer
B. ₹500By comparing the compound and simple interest formulas, the simple interest for double the time and half the rate is ₹500.
Paper & answer key PDF ↗ Question 70archived
If tan θ = tan 30° = tan 60° and θ is an acute angle, then 2θ is equal to
- A
30°
- B
45°
- C
90°
- D
0°
Show answer
C. 90°If tan θ = tan 30° = tan 60°, the value of θ is 45° and hence 2θ = 90°.
Paper & answer key PDF ↗ Question 71archived
36 men together can build a wall 140 m long in 21 days; the no. of men working at the same rate required to build the same wall in 14 days is?
- A
48
- B
36
- C
18
- D
54
Show answer
D. 54We can solve this problem using the concept of "man-days." First, we calculate the total number of man-days required to build the wall. We know that 36 men can complete the wall in 21 days, so the total man-days is calculated as:
Total man-days = 36 × 21 = 756.
This means that it requires 756 man-days to build the wall. Now, to complete the same work in 14 days, we need to maintain the total man-days at 756. Let the number of men required be x. We know that the total man-days is the product of the number of men and the number of days. Thus, we set up the equation:
x × 14 = 756.
Solving for x, we get:
x = 756 / 14 = 54.
Therefore, 54 men are required to build the wall in 14 days
Paper & answer key PDF ↗ Question 72archived
The change in rate of inflation was least in which of the following?

- A
Developed Nations
- B
UK
- C
World
- D
Third World
Show answer
C. WorldFrom the bar graph, we can see that the inflation rate for the world increased only slightly from 14.6% to 16%, compared to other countries. Hence, the change in inflation was least in the world.
Paper & answer key PDF ↗ Question 73archived
Comparing the figures for USA vis-a-vis the developed nations, it can be concluded that

- A
USA had better control on inflation
- B
Developed nations had better control on inflation
- C
The inflation rate continues to be the same for USA and developed nations
- D
No conclusions can be drawn
Show answer
A. USA had better control on inflationFrom the graph, the inflation rate for USA in 1987 was 12.7%, while it was 14.2% for developed nations. This indicates that USA had better control over inflation compared to the developed nations, where the inflation rate was higher.
Paper & answer key PDF ↗ Question 74archived
In the year 1987, the inflation rate in the third world countries vis-a-vis the world jumped approximately by

- A
135%
- B
126%
- C
122%
- D
200%
Show answer
B. 126%From the bar graph, in 1975 the inflation rate in third world countries was 26.6%, and in 1987 it rose to 36.2%. The increase is (36.2 - 26.6) / 26.6 × 100 = 36%. For the world, the rate increased from 14.6% to 16%. The difference is (36.2 - 14.6) / 14.6 × 100 ≈ 126%. Hence, the inflation rate in the third world jumped by approximately 126% compared to the world.
Paper & answer key PDF ↗ Question 75archived
From 1975 to 1987,inflation rate increased in the third world countries approximately by

- A
10%
- B
36%
- C
20%
- D
30%
Show answer
B. 36%the correct answer is 36% analyzing the graph and the data given.
Paper & answer key PDF ↗ Question 76archived
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.
VANQUISH
- A
VANISH
- B
GIVE OVER
- C
SURRENDER
- D
TRAMPLE
Show answer
C. SURRENDERThe opposite of "vanquish" (to defeat) is "surrender" (to give up). Therefore, the correct answer is "SURRENDER."
Paper & answer key PDF ↗ Question 77archived
Four words are given, out of which only one word is spelt correctly. Choose the correctly spelt word and click the button corresponding to it.
- A
Grotasque
- B
Groteque
- C
Grotesque
- D
Grostique
Show answer
C. GrotesqueThe correct spelling is "Grotesque," which means something strange or comically distorted.
Paper & answer key PDF ↗ Question 78archived
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.
Here is something pretty (A) that you can (B) wear on the party (C) / No Error (D)
- A
A
- B
B
- C
C
- D
D
Show answer
C. CThe error is in part (C). The correct preposition is "to" rather than "on" when referring to "wearing something to the party." Hence, the correct option is "C."
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.
He was for all (A) selling the car (B) and buying a bicycle (C) / No Error (D)
- A
A
- B
B
- C
C
- D
D
Show answer
A. AThe error is in part (A). The correct phrase is "He was intent on selling the car" or "He was selling the car." The article "for" is unnecessary. Hence, the correct option is "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.
Look at what (A) I am doing (B) and like I do (C) / No Error (D)
- A
A
- B
B
- C
C
- D
D
Show answer
C. CThe error is in part (C). The correct phrase should be "like I do" which should be "like I do." Hence, the correct option is "C."
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. For each question, choose the correct alternative and click the button corresponding to it.
See me tomorrow without ___________
- A
fails
- B
failure
- C
failing
- D
fail
Show answer
D. failThe correct word is "fail" to fit into the sentence "See me tomorrow without fail." It implies not missing the appointment. Hence, the correct option is "fail."
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. For each question, choose the correct alternative and click the button corresponding to it.
Radium ___________ rays that blind the eyes.
- A
gives away
- B
gives over
- C
gives off
- D
gives out
Show answer
C. gives offThe correct phrase is "gives off," which is commonly used to describe something releasing or emitting, such as radiation. Hence, the correct option is "gives off."
Paper & answer key PDF ↗ Question 83archived
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.
RECTIFY
- A
SATISFY
- B
CORRECT
- C
REDUCE
- D
PACIFY
Show answer
B. CORRECTThe opposite word of the word “RECTIFY” is “CORRECT”
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. For each question, choose the correct alternative and click the button corresponding to it.
You will have to work ___________ you are in the office.
- A
as long as
- B
as good as
- C
so far as
- D
for as
Show answer
A. as long asThe correct phrase is "as long as," meaning "until" or "for the entire period." Hence, the correct option is "as long as."
Paper & answer key PDF ↗ Question 85archived
In each 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.
To add fuel to the fire
- A
Prevent fire from dying out
- B
Make the fire burn brightly
- C
Make things worse
- D
Waste fuel for no reason
Show answer
C. Make things worseThe idiom "to add fuel to the fire" means to make a situation worse, which corresponds to "Make things worse." Hence, the correct option is "Make things worse."
Paper & answer key PDF ↗ Question 86archived
In each 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.
To take to heart
- A
To be greatly affected
- B
To take something heartily
- C
To strike at the heart, out of enjoyment
- D
To suffer from heart disease
Show answer
A. To be greatly affectedThe idiom "to take to heart" means to be greatly affected emotionally by something. Hence, the correct option is "To be greatly affected."
Paper & answer key PDF ↗ Question 87archived
In each 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.
To bring to light
- A
To put on light
- B
To reveal
- C
To bring a light
- D
To arrange light sufficiently
Show answer
B. To revealThe idiom "to bring to light" means to reveal something, such as bringing facts or information to attention. Hence, the correct option is "To reveal."
Paper & answer key PDF ↗ Question 88archived
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 button corresponding to “No Improvement”.
Lying in my room, “the music could be heard”
- A
I could hear the music
- B
The music can be heard
- C
The music can be heard by me
- D
No improvement
Show answer
A. I could hear the musicThe sentence "Lying in my room, I could hear the music" is grammatically correct. "I could hear" is the appropriate phrasing to indicate the ability to hear. Hence, the correct option is "I could hear the music."
Paper & answer key PDF ↗ Question 89archived
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 button corresponding to “No Improvement”.
Come quickly; if “you will” catch the train
- A
you want to
- B
you shall
- C
you could
- D
No improvement
Show answer
A. you want toThe phrase "if you want to" fits best here, implying a conditional statement for catching the train. Hence, the correct option is "you want to."
Paper & answer key PDF ↗ Question 90archived
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 button corresponding to “No Improvement”.
At the sound of foot steps he turned round “fast really”
- A
No Improvement
- B
real fastly
- C
real faster
- D
Real Fast
Show answer
D. Real Fast"Real fast" is the correct usage, as "real" is an adverb modifying "fast." Hence, the correct option is "real fast."
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 button corresponding to “No Improvement”.
Only a “few people” came to the art exhibition as it was raining hard all day.
- A
few
- B
little
- C
a small amount of
- D
No improvement
Show answer
D. No improvementThe phrase "only a few people" is grammatically correct. "Few" refers to a small number of people, and "little" is incorrect in this context. Hence, the correct option is "No improvement."
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 button corresponding to “No Improvement”. His immediate "ambition" was to find a place to live in.
- A
Aim
- B
Design
- C
Strategy
- D
No improvement
Show answer
A. AimThe correct word here is "AIM" as it means a A goal to achieve.
Paper & answer key PDF ↗ Question 93archived
Out of the four alternatives, choose the one which can be substituted for the given word/sentences and click the button corresponding to it.
A large body of people playing various musical instruments.
- A
Melody
- B
Harmony
- C
Brassband
- D
Orchestra
Show answer
D. OrchestraThe term "Orchestra" refers to a large group of people playing musical instruments, particularly in a symphonic context. Hence, the correct option is "Orchestra."
Paper & answer key PDF ↗ Question 94archived
Out of the four alternatives, choose the one which can be substituted for the given word/sentences and click the button corresponding to it.
Solemn religious acts
- A
Demonstrations
- B
Celebrities
- C
Rites
- D
Functions
Show answer
C. RitesThe correct term for "solemn religious acts" is "Rites," as it refers to ceremonies or rituals of religious significance. Hence, the correct option is "Rites."
Paper & answer key PDF ↗ Question 95archived
Out of the four alternatives, choose the one which can be substituted for the given word/sentences and click the button corresponding to it.
That which cannot be averted
- A
Inevitable
- B
Irreparable
- C
Incomparable
- D
Indispensable
Show answer
A. InevitableThe term "inevitable" refers to something that cannot be avoided or prevented, making it the correct substitution. Hence, the correct option is "Inevitable."
Paper & answer key PDF ↗ Question 96archived
What is the effect of fear on humans?
- A
We understand life’s great mystery.
- B
We are not able to develop our intelligence.
- C
We think freely.
- D
We see the vast expanse of life.
Show answer
B. We are not able to develop our intelligence.From the passage, the effect of fear is that it hinders intelligence and prevents people from thinking freely. Hence, the correct answer is "We are not able to develop our intelligence."
Paper & answer key PDF ↗ Question 97archived
Education helps us realize the need of ____________.
- A
To understand life’s great mystery.
- B
To get a degree for a job.
- C
To need for good health.
- D
Necessity of freedom.
Show answer
D. Necessity of freedom.The passage emphasizes the need for freedom to understand life and its mysteries, so the correct answer is "Necessity of freedom."
Paper & answer key PDF ↗ Question 98archived
When we are young we should ____________.
- A
Seek the meaning of life
- B
Study and get a degree
- C
Try for a good job
- D
Study science
Show answer
A. Seek the meaning of lifeAs stated in the passage, when we are young, we should seek the meaning of life, not just focus on degrees or jobs. Hence, the correct answer is "Seek the meaning of life."
Paper & answer key PDF ↗ Question 99archived
What does the passage indicate as the role of education?
- A
To make people understand life in a very narrow sense.
- B
To help people understand the whole process of life and foster intelligence.
- C
To prepare people to just earn a livelihood and get a job.
- D
To make people forget about the mysteries of life.
Show answer
B. To help people understand the whole process of life and foster intelligence.The passage emphasizes that the role of education is to prepare people to understand the whole process of life, including its mysteries, beauty, and the cultivation of intelligence. Hence, the correct answer is "To help people understand the whole process of life and foster intelligence."
Paper & answer key PDF ↗ Question 100archived
The aim of education is to make us realise the need of ___________.
- A
way to develop our career
- B
need for good health
- C
meaning of fear
- D
necessity of freedom
Show answer
D. necessity of freedomThe passage emphasizes that the ultimate aim of education is to help us understand the necessity of freedom in order to understand life and live without fear. Hence, the correct answer is "necessity of freedom."
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