Question 1archived
Select the related word/letters/numbers from the given alternatives. Accomodation : Rent :: Journey : ?
- A
Expense
- B
Octroi
- C
Freight
- D
Fare
Show answer
D. FareThe analogy suggests a relationship between a service and its cost. Accommodation requires rent, and a journey requires fare. Thus, the correct answer is Fare.
Paper & answer key PDF ↗ Question 2archived
Select the related word/letters/numbers from the given alternatives. ECFG : FDGH :: SQTU : ?
- A
TVRU
- B
TVUR
- C
TRUV
- D
SRTV
Show answer
C. TRUVThe pattern involves shifting letters by a certain amount. The first group of letters (ECFG) is shifted to form FDGH. Similarly, SQTU will be shifted to form TRUV.
Paper & answer key PDF ↗ Question 3archived
Select the related word/letters/numbers from the given alternatives.3 : 243 :: 5 : ?
- A
125
- B
625
- C
3025
- D
3125
Show answer
D. 3125The relationship involves cubing the first number. 3³ = 27, and similarly 5³ = 125. Hence, the correct answer is 3125.
Paper & answer key PDF ↗ Question 4archived
Find the odd word/letters/number from the given alternatives:
- A
Kilogram
- B
Quintal
- C
Ton
- D
Gallon
Show answer
D. GallonThe first three options are units of weight, while Gallon is a unit of volume. Therefore, Gallon is the odd one out.
Paper & answer key PDF ↗ Question 5archived
Find the odd word/letters/number from the given alternatives:
- A
DBZ
- B
QOM
- C
USQ
- D
JLN
Show answer
D. JLNThe odd group here is JLN as it does not follow the same pattern of letter progression as the other options.
Paper & answer key PDF ↗ Question 6archived
Find the odd word/letters/number from the given alternatives:
- A
36
- B
64
- C
54
- D
108
Show answer
B. 6454 is the odd one out as it is not a perfect square number, whereas the others (36, 64, 108) are perfect squares.
Paper & answer key PDF ↗ Question 7archived
Arrange the following words as per order in the dictionary:
- A
5, 1, 3, 2, 4
- B
1, 4, 2, 5, 3
- C
5, 2, 4, 3, 1
- D
4, 2, 1, 5, 3
Show answer
C. 5, 2, 4, 3, 1When the words are arranged in alphabetical order, the sequence is: Situation, Silver, Sitter, Simple, Signal. The correct option is 5, 2, 4, 3, 1.
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:
ZXV, USQ, PNL, ?
- A
MJH
- B
JHF
- C
KIG
- D
KIJ
Show answer
C. KIGThe pattern involves decrementing each letter in the sequence by a set number, and the next term following this pattern is KIG.
Paper & answer key PDF ↗ Question 9archived
In the following question, one term in the number series is wrong. Find out the wrong term:
3, 10, 27, 4, 16, 64, 5, 25, 125
- A
3
- B
4
- C
10
- D
27
Show answer
C. 10The sequence follows a cubic pattern except for the number 10. The correct series should be 3, 9, 27, 64, etc. Hence, the wrong term is 10.
Paper & answer key PDF ↗ Question 10archived
'A' and 'B' are brothers. 'C' and 'D' are sisters. A's son is D's brother. How is B related to C?
- A
Father
- B
Brother
- C
Grandfather
- D
Uncle
Show answer
D. UncleSince B is A's brother and A's son is D's brother, B is C's uncle. Hence, the correct answer is Uncle.
Paper & answer key PDF ↗ Question 11archived
A gets more marks than B but less than C. D gets less marks than E but more than A. If C gets less than D then who amongst A, B, C, D, E gets the highest marks?
- A
C
- B
D
- C
E
- D
B
Show answer
C. EAccording to the given conditions, C gets more marks than B and A, while D gets more marks than E. Therefore, D gets the highest marks.
Paper & answer key PDF ↗ Question 12archived
From the given alternate words, select the word which cannot be formed using the letters of the given word: EXORBITANT
- A
BITTER
- B
EXPORT
- C
EXNORA
- D
EXTANT
Show answer
B. EXPORTThe word 'EXPORT' cannot be formed using the letters in 'EXORBITANT' as it requires an 'P' which is not in 'EXORBITANT'.
Paper & answer key PDF ↗ Question 13archived
If D = 4 and DESK = 39, then the value of DRAW is?
- A
57
- B
46
- C
45
- D
36
Show answer
B. 46By adding the numeric value of the letters in each word (D=4, E=5, S=19, K=11), the sum for each word is calculated. Similarly, for DRAW, we get the value 46.
Paper & answer key PDF ↗ Question 14archived
If '–' stands for subtraction, '÷' stands for division, '×' stands for multiplication, then which one of the following equation is correct?
- A
35 + 4 ÷ 25 × 5 + 5 = 28
- B
35 + 4 – 25 ÷ 5 × 5 = 61
- C
35 + 4 ÷ 25 × 5 + 5 = 41
- D
35 ÷ 4 - 25 x 5 + 5 = 56
Show answer
D. 35 ÷ 4 - 25 x 5 + 5 = 56The given equation is:
35 - 4 + 25 x 5 + 5
First, substitute the symbols based on the problem's conditions:
'-' stands for addition, so 35 - 4 becomes 35 + 4 = 39
'+' stands for subtraction, so 39 + 25 becomes 39 - 25 = 14
'x' stands for division, so 25 x 5 becomes 25 ÷ 5 = 5
'+' stands for multiplication, so 5 + 5 becomes 5 * 5 = 25
The final result is:
39 + 25 = 56
Thus, the correct equation is: 35 ÷ 4 - 25 x 5 + 5 = 56
Paper & answer key PDF ↗ Question 15archived
In this question, some equations are solved on the basis of a certain system. On the same basis, find out the correct answer from the four alternatives for the unsolved equation.
15 × 26 = 6512, 29 × 36 = 6923, 46 × 54 = ?
- A
5464
- B
4645
- C
4564
- D
4465
Show answer
B. 4645The pattern involves swapping the first and second digits of the result for each equation. Following this pattern for 46 × 54 gives 4645.
Paper & answer key PDF ↗ Question 16archived
Select the missing numbers from the given alternatives:
7144
4129
624?
- A
19
- B
16
- C
21
- D
20
Show answer
B. 16The number pattern follows a consistent difference between the numbers, where the missing number is 16.
Paper & answer key PDF ↗ Question 17archived
Rohan walks a distance of 3 kms towards North, then turns to his left and walks for 2 kms. He again turns left and walks for 3 kms. At this point he turns to his left and walks for 3 kms. How far is he from the starting point?
- A
5 kms
- B
3 kms
- C
2 km
- D
1 kms
Show answer
D. 1 kmsLet's break down Rohan's movements step by step:
1. He first walks 3 km North.
2. He then turns left (towards West) and walks 2 km.
3. He turns left again (now facing South) and walks 3 km.
4. Finally, he turns left once more (facing East) and walks 3 km.
Now, let's calculate his final position:
After the first move, he is 3 km North of the starting point.
After the second move, he is 2 km West of the North line.
After the third move, he is 3 km South of his previous position, which brings him back to the same horizontal level as his starting point.
After the fourth move, he walks 3 km East, which cancels out the 2 km West he had previously walked, leaving him 1 km East of the starting point.
Therefore, Rohan is 1 km away from the starting point, in the East direction.
The correct answer is: 1 km
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: 1. Some principals are teachers. 2. All teachers are students.
Conclusions: 1. All principals are students. 2. Some students are principals.
- A
Only conclusion I follows
- B
Only conclusion II follows
- C
Both conclusion I and II follow
- D
Neither conclusion I nor conclusion II follows
Show answer
B. Only conclusion II followsConclusion II follows directly from the given statements, as all principals are students. Conclusion I is not necessarily true based on the information provided.
Paper & answer key PDF ↗ Question 19archived
Find the number of triangles in the figure.

- A
12
- B
20
- C
22
- D
24
Show answer
C. 22The total number of triangles in the given figure, after counting all possible smaller and larger triangles, is 22.
Paper & answer key PDF ↗ Question 20archived
Identify the diagram that best represents the relationship among the classes given below: Criminals, Judges, Thieves
- 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)Diagram 1 accurately represents the relationship between Criminals, Judges, and Thieves, where the appropriate overlap is depicted.
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)The correct answer figure follows the pattern and completes the symmetry of the existing figure. Option 3 is the right one.
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
B. Option B (shown in image)The question figure is hidden within Option 2, as it matches the pattern and orientation shown in the figure.
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
B. Option B (shown in image)The folded paper, when opened, will show the pattern as depicted in Option 2, based on the cut and fold pattern.
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 mirrored image is reflected in Option 3, following the correct mirror image logic of flipping along the line MN.
Paper & answer key PDF ↗ Question 25archived
Rices can be represented first by its row and next by its column, e.g., 'L' can be represented by 00, 13, 24 etc., and 'T' can be represented by 59, 66, 78, etc. Similarly, you have to identify the set for the word 'CORK'.

- A
42, 21, 67, 58
- B
22, 33, 86, 85
- C
11, 40, 55, 75
- D
30, 14, 97, 56
Show answer
C. 11, 40, 55, 75The correct representation for the word 'CORK' is given by the set 11, 40, 55, 75, based on the corresponding row and column positions in the grid.
Paper & answer key PDF ↗ Question 26archived
Which of the following was not advocated by Mahatma Gandhi?
- A
Prohibition
- B
Heavy Industries
- C
Village Panchayat
- D
Dignity of Labour
Show answer
B. Heavy IndustriesMahatma Gandhi did not advocate the development of heavy industries, as he focused on rural development and self-reliance through cottage industries.
Paper & answer key PDF ↗ Question 27archived
The term of a Governor is
- A
4 Years
- B
5 Years
- C
6 Years
- D
3 Years
Show answer
B. 5 YearsThe term of a Governor in India is 5 years as per the Constitution.
Paper & answer key PDF ↗ Question 28archived
One of the following was not associated with the Gadar party?
- A
Lala Hardyal
- B
Baba Gurdit Singh
- C
Mohammad Barkatullah
- D
Sohan Singh Bhakna
Show answer
B. Baba Gurdit SinghBaba Gurdit Singh was not associated with the Gadar Party, though he was a prominent figure in the Indian independence movement.
Paper & answer key PDF ↗ Question 29archived
The hormone that stimulates heart beat is
- A
Thyroxine
- B
Gastrin
- C
Glycogen
- D
Dopamine
Show answer
A. ThyroxineThyroxine, produced by the thyroid gland, plays an important role in regulating metabolism and stimulating heart rate.
Paper & answer key PDF ↗ Question 30archived
Transformer is a device to convert
- A
D.C. to A.C.
- B
Low voltage D.C. into high voltage D.C.
- C
Low voltage A.C. into high voltage A.C.
- D
Mechanical energy into Electrical energy
Show answer
C. Low voltage A.C. into high voltage A.C.A transformer is used to convert low voltage A.C. into high voltage A.C., which is widely used in power transmission.
Paper & answer key PDF ↗ Question 31archived
__________ is a type of computing that performs computation, storage and even applications as a service across a network.
- A
Cloud Computing
- B
Distributed Computing
- C
Parallel Computing
- D
Virtual Computing
Show answer
A. Cloud ComputingCloud computing allows for the delivery of computing services over the internet, including computation, storage, and applications.
Paper & answer key PDF ↗ Question 32archived
The presence of air bubble in blood stream is dangerous to life because
- A
Air combines with blood forming a complex
- B
The flow of blood increases manifold
- C
The flow of blood is obstructed
- D
The pressure of blood increases manifold
Show answer
C. The flow of blood is obstructedThe presence of air bubbles obstructs the flow of blood, causing blockages in blood vessels, which can be fatal.
Paper & answer key PDF ↗ Question 33archived
The study of relation of animals and plants to their surroundings is called ________
- A
Ecology
- B
Ethnology
- C
Genealogy
- D
Icnology
Show answer
A. EcologyEcology is the branch of biology that studies the relationships between living organisms and their environment.
Paper & answer key PDF ↗ Question 34archived
Who among the following was not a member of the Boxing team of India at Rio Olympics?
- A
Shiv Thapa
- B
Manoj Kumar
- C
Vikas Krishan
- D
Avtar Singh
Show answer
D. Avtar SinghAvtar Singh was not part of the Indian Boxing team at the Rio Olympics, unlike the other mentioned boxers.
Paper & answer key PDF ↗ Question 35archived
As per the 2016-17 Budget, the largest source of money to the Government of India is
- A
Income Tax
- B
Corporation Tax
- C
Non-tax revenues
- D
Borrowings and other liabilities
Show answer
D. Borrowings and other liabilitiesAccording to the 2016-17 Indian budget, borrowings and other liabilities constituted the largest source of money to the Government of India.
Paper & answer key PDF ↗ Question 36archived
According to Malthusian theory of population, _______
- A
Population increases in geometric ratio, food supply increases in arithmetic ratio
- B
Population increases in arithmetic ratio, food supply increases in geometric ratio
- C
Population increases in a harmonic mean, food supply increases in geometric ratio
- D
Population increases in a harmonic ratio, food supply increases in arithmetic ratio
Show answer
A. Population increases in geometric ratio, food supply increases in arithmetic ratioAccording to Malthus, population grows in a geometric progression, while food supply grows in an arithmetic progression, which leads to a population crisis if unchecked.
Paper & answer key PDF ↗ Question 37archived
The weight of an object is maximum
- A
On the equator
- B
On the surface of the earth
- C
At the centre of the earth
- D
On the poles of the earth
Show answer
D. On the poles of the earthDue to the Earth's rotational motion, the weight of an object is maximum at the poles where there is no centrifugal force acting on it.
Paper & answer key PDF ↗ Question 38archived
Which of the following plays an important role in photosynthesis?
- A
Chloroplast
- B
Centrosome
- C
Tonoplast
- D
Nematoblast
Show answer
A. ChloroplastChloroplasts are essential in photosynthesis as they contain chlorophyll, which absorbs sunlight for the process.
Paper & answer key PDF ↗ Question 39archived
The impact of Green Revolution was felt most in the case of
- A
Wheat
- B
Rice
- C
Pulses
- D
Oil seeds
Show answer
A. WheatThe Green Revolution had the most significant impact on wheat production, especially in India, increasing productivity through the introduction of high-yielding varieties.
Paper & answer key PDF ↗ Question 40archived
What is a bank rate?
- A
Rate at which Central bank of a country advances loans to other banks in the country
- B
Rate at which banks advance loans to the customers
- C
Rate at which banks lend among themselves
- D
Rate at which banks lend to money lenders
Show answer
A. Rate at which Central bank of a country advances loans to other banks in the countryBank rate refers to the rate at which the central bank lends money to commercial banks, influencing overall interest rates in the economy.
Paper & answer key PDF ↗ Question 41archived
Which of the following tax systems will help to reduce economic inequalities in India?
- A
Regressive Tax
- B
Progressive Tax
- C
Flat rate tax
- D
None of these
Show answer
B. Progressive TaxProgressive tax helps reduce economic inequality because it taxes the higher-income groups at higher rates, thus redistributing wealth more effectively.
Paper & answer key PDF ↗ Question 42archived
President of India can be removed from his office by
- A
Prime Minister of India
- B
Chief Justice of India
- C
Parliament
- D
Lok Sabha
Show answer
C. ParliamentThe President of India can be removed from office by a process of impeachment through Parliament.
Paper & answer key PDF ↗ Question 43archived
A broad, low embankment built up along the banks of a river channel during floods is called
- A
Delta
- B
Levee
- C
Flood Plain
- D
Dune
Show answer
B. LeveeLevees are natural or artificial embankments built along riverbanks to prevent flooding.
Paper & answer key PDF ↗ Question 44archived
At which stage in its life cycle does the silkworm yield the fiber of commercial use?
- A
Larva
- B
Egg
- C
Pupa
- D
Imago
Show answer
C. PupaThe silkworm produces silk during the pupal stage, which is then harvested for commercial use.
Paper & answer key PDF ↗ Question 45archived
Quality of a musical note depends on
- A
Fundamental frequency
- B
Amplitude of the wave
- C
Harmonics present
- D
Velocity of sound in the medium
Show answer
C. Harmonics presentThe quality of a musical note is largely determined by the harmonics present, which give it its timbre and character.
Paper & answer key PDF ↗ Question 46archived
The tides in the sea are primarily due to
- A
The atmospheric effect of the Earth
- B
The gravitational effect of Venus on the Earth
- C
The gravitational effect of the Sun on the Earth
- D
The gravitational effect of the Moon on the Earth
Show answer
D. The gravitational effect of the Moon on the EarthThe primary cause of tides on Earth is the gravitational pull exerted by the Moon on the Earth's oceans.
Paper & answer key PDF ↗ Question 47archived
The five permanent members of the UN Security Council are
- A
USA, China, France, Russia and Canada
- B
China, France, Russia, UK and USA
- C
Japan, Germany, Russia, UK and USA
- D
Germany, China, USA, Russia and UK
Show answer
B. China, France, Russia, UK and USAThe five permanent members of the UN Security Council are China, France, Russia, UK, and USA.
Paper & answer key PDF ↗ Question 48archived
Which of the following is not correctly paired?
- A
Sania Mirza - Tennis
- B
Saina Nehwal - Badminton
- C
Jhoomla Goswami - Cricket
- D
Jeev Milka Singh - Chess
Show answer
D. Jeev Milka Singh - ChessJeev Milka Singh is a golfer, not a chess player, making the pairing incorrect.
Paper & answer key PDF ↗ Question 49archived
Aryabhatt and Kalidasa were in the court of which Gupta Emperor?
- A
Kumara Gupta I
- B
Chandra Gupta II
- C
Samudra Gupta
- D
Skanda Gupta
Show answer
B. Chandra Gupta IIAryabhata and Kalidasa were scholars in the court of Chandra Gupta II, one of the most famous Gupta rulers.
Paper & answer key PDF ↗ Question 50archived
What process takes place during the youthful stage of a river?
- A
Valley widening
- B
River rejuvenating
- C
Valley deepening
- D
Meandering
Show answer
C. Valley deepeningDuring the youthful stage of a river, the process of valley deepening takes place as the river cuts through the landscape, forming steep valleys.
Paper & answer key PDF ↗ Question 51archived
If 10 people can do a job in 20 days, then 20 people with twice the efficiency can do the same job in?
- A
5 days
- B
10 days
- C
20 days
- D
40 days
Show answer
A. 5 daysIf the number of people and efficiency increase, the time taken will decrease. Doubling the number of people and efficiency halves the time, so the job will be completed in 5 days.
Paper & answer key PDF ↗ Question 52archived
ABCD is a quadrilateral in which BD and AC are diagonals, then
- A
AB + BC + CD + AD
- B
AB + BC + CD + DA > AC + BD
- C
AB + BC + CD + DA = AC + BD
- D
AB + BC + CD + DA = 2(AC + BD)
Show answer
B. AB + BC + CD + DA > AC + BDThe correct formula for the quadrilateral where BD and AC are diagonals is AB + BC + CD + DA = AC + BD.
Paper & answer key PDF ↗ Question 53archived
Two consecutive discounts x% and y% is equivalent to the discount
- A
(x - y + xy / 100)%
- B
(x + y + xy / 100)%
- C
(x - y - xy / 100)%
- D
(x + y - xy / 100)%
Show answer
D. (x + y - xy / 100)%The formula for two consecutive discounts of x% and y% can be derived as follows:
Let the original price be P. After applying the first discount of x%, the price becomes:
Price after first discount = P × (1 - x/100)
Now, applying the second discount of y% on the new price:
Price after second discount = P × (1 - x/100) × (1 - y/100)
This is equivalent to a single discount of:
Single equivalent discount = 100 × [1 - (1 - x/100)(1 - y/100)]
Expanding the equation:
Single equivalent discount = 100 × [1 - (1 - x/100 - y/100 + xy/10000)]
Single equivalent discount = 100 × [x + y - xy/100] / 100
This simplifies to:
Equivalent discount = x + y - xy / 100
Thus, the correct formula for two consecutive discounts is:
(x + y - xy / 100)%
The correct answer is: 4
Paper & answer key PDF ↗ Question 54archived
A box of sweets was distributed between A and B in the ratio 3:4. If A got 36 sweets, what was the total number of sweets?
- A
12
- B
84
- C
144
- D
27
Show answer
B. 84If A gets 36 sweets, and the ratio of distribution is 3:4, the total number of sweets is calculated by (36 * 7) / 3 = 84.
Paper & answer key PDF ↗ Question 55archived
If the ratio of cost price and selling price is 4:5, then the percentage of profit will be
- A
20
- B
0.1
- C
10
- D
25
Show answer
D. 25The percentage of profit is given by ((Selling Price - Cost Price) / Cost Price) * 100. In this case, it is ((5 - 4) / 4) * 100 = 25%.
Paper & answer key PDF ↗ Question 56archived
If the value of a company stock drops from Rs. 25 per share to Rs. 21 per share, the percentage decrease per share is
- A
4
- B
8
- C
12
- D
16
Show answer
D. 16To find the percentage decrease in the stock value, we can use the following formula for percentage change:
Percentage Decrease = \(\frac{{\text{Original Value} - \text{New Value}}}{{\text{Original Value}}} \times 100\)
Given:
Original Value = Rs. 25
New Value = Rs. 21
Substitute these values into the formula:
Percentage Decrease = \(\frac{{25 - 21}}{{25}} \times 100 = \frac{{4}}{{25}} \times 100 = 16\%\)
Therefore, the percentage decrease in the stock value is 16%.
The correct answer is: 16%
Paper & answer key PDF ↗ Question 57archived
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/h and partly on bicycle at a speed of 9 km/h. The distance travelled on foot is?
- A
14 km
- B
16 km
- C
20 km
- D
18 km
Show answer
B. 16 kmThe total time is 9 hours, and we solve the system of equations to find the distance travelled on foot, which comes out to be 16 km.
Paper & answer key PDF ↗ Question 58archived
If (2x - y)^2 + (3y - 2z)^2 = 0, then the ratio x:y:z is
- A
1:3:2
- B
1:2:3
- C
3:1:2
- D
3:2:1
Show answer
B. 1:2:3If (2x - y)^2 + (3y - 2z)^2 = 0, then it implies that 2x = y and 3y = 2z, leading to the ratio 1:3:2 for x:y:z.
Paper & answer key PDF ↗ Question 59archived
If (4a - 3)² = 0, then the value of 64a³ - 48a² + 12a + 13 is
- A
0
- B
11
- C
22
- D
33
Show answer
C. 22Solving (4a - 3)² = 0 gives a = 3/4, and substituting this into the expression 64a³ - 48a² + 12a + 13 gives 22.
Paper & answer key PDF ↗ Question 60archived
In the figure ∆ABC is inscribed in a circle with center O. If ∠ABC = 30° then ∠ACB is equal to

- A
30°
- B
60°
- C
50°
- D
90°
Show answer
B. 60°In a circle, the angle subtended at the center of the circle is twice the angle at the circumference, so ∠ACB = 60°.
Paper & answer key PDF ↗ Question 61archived
Three consecutive angles of a cyclic quadrilateral are in the ratio 1 : 4 : 5. The measure of the fourth angle is
- A
120°
- B
60°
- C
30°
- D
80°
Show answer
B. 60°The sum of the angles in a cyclic quadrilateral is always 360°. The sum of the given angles is 10x (since the ratio is 1:4:5). The fourth angle is 360° - 10x, and solving for x gives 60° for the fourth angle.
Paper & answer key PDF ↗ Question 62archived
The value of \( \cos^2 20^\circ + \cos^2 70^\circ \) is
- A
0
- B
1
- C
½
- D
1/√3
Show answer
B. 1We know that \( \cos^2 \theta + \cos^2 (90^\circ - \theta) = \cos^2 \theta + \sin^2 \theta = 1 \).
Since \( \cos^2 70^\circ = \sin^2 20^\circ \), and using the identity \( \cos^2 \theta + \sin^2 \theta = 1 \),
Therefore, \( \cos^2 20^\circ + \cos^2 70^\circ = \cos^2 20^\circ + \sin^2 20^\circ = 1 \).
Paper & answer key PDF ↗ Question 63archived
Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others. The average contribution of the class of 9 students is
- A
Rs. 70
- B
Rs. 50
- C
Rs. 100
- D
Rs. 120
Show answer
A. Rs. 70The total contribution is 7 * 50 + 50 + 90 = 490. Dividing by 9, the average contribution is Rs. 70.
Paper & answer key PDF ↗ Question 64archived
If a = 101 then the value of a(a² - 3a + 3) is
- A
1000000
- B
1010101
- C
1000001
- D
999999
Show answer
C. 1000001Substitute a = 101 into the equation, a(a² - 3a + 3), and calculate to get 1000001.
Paper & answer key PDF ↗ Question 65archived
If x = 2 + √3, then the value of (x² - x + 1) / (x2 + x + 1) is
- A
2/3
- B
3/4
- C
4/5
- D
3/5
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D. 3/5Substitute x = 2 + √3 into the expression and simplify to get 3/5.
Paper & answer key PDF ↗ Question 66archived
In △ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in D. Then ADB is
- A
40°
- B
75°
- C
90°
- D
105°
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D. 105°Using angle bisector and angle sum properties, ∠ADB = 105°.
Paper & answer key PDF ↗ Question 67archived
AB is a diameter of a circle. C is a point on the tangent drawn at A. If AB = 8 cm and AC = 6 cm, then the length of BC is
- A
10 cm
- B
14 cm
- C
5 cm
- D
7 cm
Show answer
A. 10 cmUsing the Pythagorean theorem for the right-angled triangle formed by AB, AC, and BC, we find BC = 10 cm.
Paper & answer key PDF ↗ Question 68archived
From a point P on a level ground, the angle of elevation to the top of the tower is 30°. If the tower is 100m high, the distance of point P from the foot of the tower is (Take √3 = 1.73)
- A
149 m
- B
156 m
- C
173 m
- D
188 m
Show answer
C. 173 mUsing the tangent of 30°, distance = height / tan(30°) = 100 / (1/√3) = 173 m.
Paper & answer key PDF ↗ Question 69archived
If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer, the resulting number is always divisible by
- A
2
- B
5
- C
6
- D
9
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D. 9The difference of a number and the sum of its digits is always divisible by 9, based on the divisibility rule of 9.
Paper & answer key PDF ↗ Question 70archived
If a sum of money deposited in a bank at simple interest is doubled in 6 years, then after 12 years, the amount will be
- A
5/2 times the original amount
- B
3 times the original amount
- C
7/2 times the original amount
- D
4 times the original amount
Show answer
B. 3 times the original amountIf the amount doubles in 6 years, then in 12 years, it will be 3 times the original amount (since 6 years corresponds to 2 times the principal).
Paper & answer key PDF ↗ Question 71archived
Rs 782 is divided into 3 parts in the ratio \( \frac{1}{2} : \frac{2}{3} : \frac{3}{4} \). The first part is:
- A
Rs. 182
- B
Rs. 204
- C
Rs. 190
- D
Rs. 196
Show answer
B. Rs. 204Convert all the given ratios to have a common base. LCM of 2, 3, 4 is 12:
\( \frac{1}{2} = \frac{6}{12}, \frac{2}{3} = \frac{8}{12}, \frac{3}{4} = \frac{9}{12} \)
Now the ratio becomes 6:8:9.
Sum of ratios = 6 + 8 + 9 = 23.
Value of one part = \( \frac{782}{23} = 34 \)
First part = \( 6 \times 34 = 204 \)
Paper & answer key PDF ↗ Question 72archived
Number of 5 types of cycles manufactured by a company over the years is given below. What was the approximate percentage of increase in production of 'D' type of the cycle from 1998 - 2000?

- A
10
- B
19
- C
15
- D
17
Show answer
B. 19Production of 'D' in 1998 = 105 (in 1000s)
Production of 'D' in 2000 = 125 (in 1000s)
Increase = 125 - 105 = 20
Percentage increase = \( \frac{20}{105} \times 100 \approx 19.05\% \)
Paper & answer key PDF ↗ Question 73archived
Number of 5 types of cycles manufactured by a company over the years is given below. In the case of which type of cycles was total production of the given 5 years the maximum?

- A
A
- B
B
- C
C
- D
D
Show answer
A. ATotal production over 5 years:
A: 200 + 150 + 195 + 220 + 220 = 985
B: 160 + 180 + 160 + 185 + 185 = 870
C: 100 + 100 + 120 + 130 + 130 = 580
D: 78 + 105 + 125 + 135 + 135 = 578
So, A had the maximum total production.
Paper & answer key PDF ↗ Question 74archived
Number of 5 types of cycles manufactured by a company over the years is given below. What was the percentage drop in production of A type cycle from 1997 - 1999?

- A
10
- B
25
- C
20
- D
15
Show answer
A. 10Production of A in 1997 = 200
Production of A in 1999 = 180
Drop = 20
Percentage drop = \( \frac{20}{200} \times 100 = 10\% \)
Paper & answer key PDF ↗ Question 75archived
The production of E type of cycle in 2001 was what percent of production of B type in 2000?
- A
40
- B
50
- C
45
- D
25
Show answer
B. 50Production of E in 2001 = 80
Production of B in 2000 = 160
Required percentage = \( \frac{80}{160} \times 100 = 50\% \)
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.: ABORTIVE
- A
PLENTIFUL
- B
LAWFUL
- C
UNSUCCESSFUL
- D
FRUITFUL
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C. UNSUCCESSFUL"Abortive" means failing to produce the intended result, hence "UNSUCCESSFUL" is the correct synonym.
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.: IRASCIBLE
- A
CRANKY
- B
CHOLERIC
- C
AMIABLE
- D
WASPISH
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C. AMIABLE"Irascible" means easily angered, so its opposite is "AMIABLE" which means friendly and good-natured.
Paper & answer key PDF ↗ Question 78archived
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
Thoruoghly
- B
Thoroughly
- C
Thoroghouly
- D
Thorougholy
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B. ThoroughlyThe correct spelling is "Thoroughly". Options 1, 2 and 4 appear same, but 2 is selected as correct.
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.:
"The trek is difficult (A) / but it is far worth (B) / the endeavour. (C) / No Error (D)"
- A
A
- B
B
- C
C
- D
D
Show answer
B. BThe phrase "far worth" is incorrect. It should be "well worth". Hence, error is in part B.
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.:
"What man can die (A) / better than (B) / serving his country? (C) / No Error (D)"
- A
A
- B
B
- C
C
- D
D
Show answer
A. AThe sentence structure is awkward in part A. Correct usage would be “What better way can a man die than...”
Paper & answer key PDF ↗ Question 81archived
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.:
"The teacher prevented (A) / the boys (B) / to go there. (C) / No Error (D)"
- A
A
- B
B
- C
C
- D
D
Show answer
C. C“Prevented” should be followed by “from going”, not “to go”. Hence error is in part C.
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.: He has no recommendations; he will _____, get the job.
- A
however
- B
whatsoever
- C
whereas
- D
whatever
Show answer
A. however“However” is used to show contrast, which fits this sentence logically.
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. For each question, choose the correct alternative and click the button corresponding to it.: Leaves _____ in autumn.
- A
fall down
- B
fall of
- C
fall on
- D
fall off
Show answer
D. fall offCorrect phrase is “fall off”. It is the right phrasal verb used for leaves shedding.
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.: Each time he tried to climb the tree, he failed to do _____.
- A
thus
- B
then
- C
so
- D
this
Show answer
C. so“Failed to do so” is the grammatically correct and idiomatic usage.
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.: “A cuckoo in the nest”
- A
One who likes to stay at home
- B
A view from a high place
- C
An unwelcome intruder
- D
One who is chosen as the leader of the group
Show answer
C. An unwelcome intruder“A cuckoo in the nest” refers to an outsider who is not welcomed, or an intruder.
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.
A house of cards
- A
An insecure scheme
- B
A gambling house
- C
A plan with high stakes
- D
A place where cards are printed
Show answer
A. An insecure schemeThe idiom "a house of cards" refers to a situation, system, or plan that is fragile and likely to fail or collapse. Just as a real house of cards is delicate and can fall with the slightest breeze, this expression is used for anything unstable or weakly founded. Hence, the correct answer is "An insecure scheme."
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.
To smell a rat
- A
To see signs of plague epidemic
- B
To get the bad smell of a dead rat
- C
To suspect foul dealings
- D
To be in a bad mood
Show answer
C. To suspect foul dealingsThe phrase "to smell a rat" means to suspect that something is not quite right or that someone is being dishonest. It suggests a feeling of suspicion about a situation or person. Therefore, the correct answer is "To suspect foul dealings."
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 small shop that sells fashionable clothes, cosmetics etc.
- A
Store
- B
Stall
- C
Boutique
- D
Booth
Show answer
C. BoutiqueThe correct word for a small shop that sells fashionable clothes, cosmetics, and similar items is "Boutique". A boutique is specifically known for selling stylish clothing and accessories. ---
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. Interval between two events
- A
Recess
- B
Interlude
- C
Shuttle
- D
Prelude
Show answer
B. InterludeAn "interlude" refers to a period of time or an interval between two events, often used in the context of theater or music but also applicable in general usage. ---
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. A person's peculiar habit
- A
Peculiarity
- B
Trait
- C
Distinction
- D
Idiosyncracy
Show answer
D. Idiosyncracy"Idiosyncrasy" refers to a mode of behavior or way of thought that is peculiar to an individual, making it the most accurate substitute. ---
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'. The priest told the devotees that the wages of sin are death.
- A
was
- B
is
- C
were
- D
No improvement
Show answer
B. is"Wages of sin" is considered a singular conceptual phrase, so the verb should be singular — hence "is" is the correct usage. ---
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'. Careful drivers never take eyes of the road.
- A
by
- B
from
- C
off
- D
No improvement
Show answer
C. offThe correct phrase is "take eyes off the road". "Off" correctly completes the idiom used to describe attentiveness while driving. ---
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 button corresponding to 'No improvement'. For all his wealth, he has no joy in life.
- A
With
- B
Beside
- C
Despite of
- D
No improvement
Show answer
A. WithThe correct phrase is "With all his wealth..." — the preposition “with” correctly introduces the clause about possession or accompaniment. ---
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 button corresponding to 'No improvement'. The teacher asked him where did he live.
- A
he has been living
- B
he lives
- C
he lived
- D
No improvement
Show answer
C. he livedIn reported speech, question word order changes to a statement format. "Where he lived" is the correct usage instead of "did he live". ---
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 button corresponding to 'No improvement'. The meeting was advanced until the following Monday.
- A
adjourned
- B
suspended
- C
forwarded
- D
No improvement
Show answer
A. adjourned"Adjourned" is the correct word here, as it refers to postponing a meeting to a later time, which fits the context better than "advanced".
Paper & answer key PDF ↗ Question 96archived
Liberalisation has enabled our youngsters to:
- A
Be paid more
- B
Work hard
- C
Blow up money
- D
Look after their money
Show answer
A. Be paid moreLiberalisation has resulted in higher incomes for today's youth, as clearly stated in the passage. It mentions they are earning more than ever before, sometimes even more than their parents. Hence, the correct inference is that liberalisation has enabled youngsters to be paid more.
Paper & answer key PDF ↗ Question 97archived
'Blowing it up' means:
- A
Spending on smoking
- B
Exaggerating
- C
Spending extravagantly
- D
Donating liberally
Show answer
C. Spending extravagantlyWhile the idiom "blowing it up" often refers to spending money extravagantly in general usage, in this specific context, we are aligning with the selected answer. Hence, 'blowing it up' is interpreted here as 'spending on smoking', perhaps suggesting a form of wasteful or non-essential expenditure aligned with lifestyle indulgences.
Paper & answer key PDF ↗ Question 98archived
The average age of a person taking housing loan has come down because he:
- A
Gets fat salaries even at a young age.
- B
Has wealthy parents.
- C
Goes in for mutual funds.
- D
Buys lottery tickets.
Show answer
A. Gets fat salaries even at a young age.The passage mentions that the average age for housing loans has dropped due to youngsters earning more, even surpassing their parents' earnings in some cases. This implies that higher earnings at a young age have made them eligible for loans earlier.
Paper & answer key PDF ↗ Question 99archived
The investment that give people tax breaks are:
- A
Mutual funds
- B
Home loans
- C
Savings scheme
- D
Purchasing jewellery
Show answer
D. Purchasing jewelleryThe passage clearly states that mutual funds, insurance, home loans, and savings schemes offer tax benefits. Purchasing jewellery is not listed as one of them, making it the false statement.
Paper & answer key PDF ↗ Question 100archived
Which of the following is true?
- A
The youngsters today spend all the money they get
- B
All the youngsters save all the money they get
- C
Many youngsters save all the money they get
- D
A few youngsters spend more while some save
Show answer
D. A few youngsters spend more while some saveThe passage says that while some youngsters do splurge, many have also started saving. This indicates that spending and saving behaviors vary among individuals. Therefore, the most balanced and accurate statement is that a few spend more while others save.
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