Aptitude Test Sample Questions

Problems on Trains Time and Distance Height and Distance

Time and Work Simple Interest Compound Interest

Profit and Loss Partnership Percentage

Problems on Ages Calendar Clock

Average Area Volume and Surface Area

Permutation and Combination Numbers Problems on Numbers

Problems on H.C.F and L.C.M Decimal Fraction Simplification

Square Root and Cube Root Surds and Indices Ratio and Proportion

Chain Rule Pipes and Cistern Boats and Streams

Alligation or Mixture Logarithm Races and Games

Stocks and Shares Probability True Discount

Banker's Discount Odd Man Out and Series

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OTHER TOPICS WHICH ARE IMPORTANT: ELEMENTRY COORDINATE GEOMETRY, ALGEBRAIC EXPRESSIONS, DESCRIPTIVE STATISTICS AND DATA INTERPRETATION (BAR CHARTS, LINE GRAPHS, PIE CHARTS ETC.)

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QUANTITATIVE APTITUDE TOPICS LIST

Aptitude

1. Two trains are running in opposite directions with the same speed. If the length of each train is

120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

A. 10 B. 18

C. 36 D. 72

2. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has

missed 27 times, A has killed:

A. 30 birds B. 60 birds

C. 72 birds D. 90 birds

3. A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee

notes. The number of notes of each denomination is equal. What is the total number of notes

that he has ?

A. 45 B. 60

C. 75 D. 90

4. What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per

annum compounded yearly and half-yearly?

A. Rs. 2.04 B. Rs. 3.06

C. Rs. 4.80 D. Rs. 8.30

5. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling

along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes,

then the area of the park (in sq. m) is:

A. 15360 B. 153600

C. 30720 D. 307200

6. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was

five times the age of the son. After 6 years, son's age will be:

en in

it your

lly if

A. 12 years B. 14 years

C. 18 years D. 20 years

7. Ayesha's father was 38 years of age when she was born while her mother was 36 years old

when her brother four years younger to her was born. What is the difference between the ages

of her parents?

A. 2 years B. 4 years

C. 6 years D. 8 years

Direction (for Q.No. 8):

Each of the questions given below consists of a question followed by three statements. You have to

study the question and the statements and decide which of the statement(s) is/are necessary to

answer the question.

8. By selling an article what is the profit percent gained?

I. 5% discount is given on list price.

II. If discount is not given, 20% profit is gained.

III. The cost price of the articles is Rs. 5000.

A. Only I and II B. Only II and II

C. Only I and III D. All I, II and III

E. None of these

9. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9000 B. 9400

C. 9600 D. 9800

10. Which of the following has the most number of divisors?

A. 99 B. 101

C. 176 D. 182


Find the odd man out.

11. 6, 9, 15, 21, 24, 28, 30

A. 28 B. 21

C. 24 D. 30

12. If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

A. 1 B. 3

C. 5 D. 10

13. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time

and B and C are open for one hour each alternately, the tank will be full in:

A. 6 hours B. 62hours

3

C. 7 hours D. 71hours

2


Find out the wrong number in the given sequence of numbers.

14. 1, 2, 6, 15, 31, 56, 91

A. 31 B. 91

C. 56 D. 15

15. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively.

What percentage of the total votes did the winning candidate get?

A. 57% B. 60%

C. 65% D. 90%

16. Which of the following are in descending order of their value ?

A.1,2,3,4,5,6

3 5 7 5 6 7B.

1,2,3,4,5,6

3 5 5 7 6 7

C.1,2,3,4,5,6

3 5 5 6 7 7D.

6,5,4,3,2,1

7 6 5 7 5 3

17. The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs.

9000, brokerage being %, is:

A. Rs. 108.25 B. Rs. 112.20

C. Rs. 124.75 D. Rs. 125.25

18. A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average

speed for the first 320 km of the tour is:

A. 35.55 km/hr B. 36 km/hr

C. 71.11 km/hr D. 71 km/hr

19. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the

ratio 12 : 23. The smaller number is:

A. 27 B. 33

C. 49 D. 55

20. From a group of 7 men and 6 women, five persons are to be selected to form a committee so

that at least 3 men are there on the committee. In how many ways can it be done?

A. 564 B. 645

C. 735 D. 756

E. None of these

Aptitude

1. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9000 B. 9400

C. 9600 D. 9800

2. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120

respectively, then the sum of the reciprocals of the numbers is equal to:

A.55

601B.

601

55

C.11

120D.

120

11

3.

If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:

A. 0.1039 B. 0.2078

C. 1.1039 D. 2.1039

4. The product of two numbers is 9375 and the quotient, when the larger one is divided by the

smaller, is 15. The sum of the numbers is:

A. 380 B. 395

C. 400 D. 425





5. What is the two-digit number?

I. The difference between the tow-digit number and the number formed by interchanging the

digits is 27.

II. The difference between the two digits is 3.

III. The digit at unit's place is less than that at ten's place by 3.

A. I and II only

B. I and III only

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it your

lly if

C. All I, II and III

D. I, and either II or III

E. Even with all I, II and III, answer cannot be give.

6. Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the

ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

A. 24 B. 27

C. 40 D. Cannot be determined

E. None of these


Each of the questions given below consists of a statement and / or a question and two statements

numbered I and II given below it. You have to decide whether the data provided in the statement(s) is

/ are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the

data in Statement II alone are not sufficient to answer the question.

Give answer (B) if the data in Statement II alone are sufficient to answer the question, while

the data in Statement I alone are not sufficient to answer the question.

Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to


Give answer (D) if the data even in both Statements I and II together are not sufficient to


Give answer(E) if the data in both Statements I and II together are necessary to answer the

question.

7. What is Sonia's present age?

I. Sonia's present age is five times Deepak's present age.

II. Five years ago her age was twenty-five times Deepak's age at that time.

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. Both I and II are necessary to answer

8. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:

A. 0 B. 2

C. 4 D. 6

9. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

A. 30% B. 331%3

C. 35% D. 44%


Each of the questions given below consists of a statement and / or a question and two statements

numbered I and II given below it. You have to decide whether the data provided in the statement(s) is

/ are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the

data in Statement II alone are not sufficient to answer the question.

Give answer (B) if the data in Statement II alone are sufficient to answer the question, while

the data in Statement I alone are not sufficient to answer the question.

Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to


Give answer (D) if the data even in both Statements I and II together are not sufficient to


Give answer(E) if the data in both Statements I and II together are necessary to answer the

question.

10. What is the length of a running train?

I. The train crosses a man in 9 seconds.

II. The train crosses a 240 metre long platform in 24 seconds.

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. Both I and II are necessary to answer


Each of these questions is followed by three statements. You have to study the question and all the

three statements given to decide whether any information provided in the statement(s) is redundant

and can be dispensed with while answering the given question.

11. At what time will the train reach city X from city Y?

I. The train crosses another train of equal length of 200 metres and running in opposite

directions in 15 seconds.

II. The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.

III. The 200 metres long train crosses a signal pole in 10 seconds.

A. I only

B. II only

C. III only

D. II and III only

E. All I, II and III are required.





12. What is the speed of the boat in still water?

I. The speed downstream is 12 kmph.

II. The speed upstream is 4 kmph.

III. In a to and fro journey between two points, the average speed of the boat was 6 kmph.

A. I and II only

B. All I, II and III

C. III, and either I or II

D. Any two of the three

E. None of these

13. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the

simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple

interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

A. Rs. 6400 B. Rs. 6500

C. Rs. 7200 D. Rs. 7500

E. None of these





14. What is the principal sum?

I. The sum amounts to Rs. 690 in 3 years at S.I.

II. The sum amounts to Rs. 750 in 5 years at S.I.

III. The rate of interest is 5% p.a.

A. I and III only

B. II and III only

C. I and II only

D. I and III only, or II and III only

E. Any two of the three

15. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in

metres will be:

A. 84 B. 90

C. 168 D. 336

16. How many times in a day, are the hands of a clock in straight line but opposite in direction?

A. 20 B. 22

C. 24 D. 48

17.The cost price of a Rs. 100 stock at 4 discount, when brokerage is

1%is:4

A. Rs. 95.75 B. Rs. 96

C. Rs. 96.25 D. Rs. 104.25

18. From a group of 7 men and 6 women, five persons are to be selected to form a committee so

that at least 3 men are there on the committee. In how many ways can it be done?

A. 564 B. 645

C. 735 D. 756

E. None of these

19. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the

bill is:

A. Rs. 1386 B. Rs. 1764

C. Rs. 1575 D. Rs. 2268


Find the odd man out.

20. 41, 43, 47, 53, 61, 71, 73, 81

A. 61 B. 71

C. 73 D. 81

Directions to Solve

Each of the following questions consists of two sets of figures. Figures A, B, C and D constitute the

Problem Set while figures 1, 2, 3, 4 and 5 constitute the Answer Set. There is a definite relationship

between figures A and B. Establish a similar relationship between figures C and D by selecting a

suitable figure from the Answer Set that would replace the question mark (?) in fig. (D).

1. Select a suitable figure from the Answer Figures that would replace the question mark (?).

Problem Figures: Answer Figures:

(A) (B) (C) (D) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5

Answer & Explanation

Answer: Option C

Explanation:

The half-shaded leaf rotates 135oACW and the unshaded leaf rotates 135

oCW.

2. Select a suitable figure from the Answer Figures that would replace the question mark (?).


(A) (B) (C) (D) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5


Answer: Option A

Explanation:

The upper element is converted to an element similar to the lower elements and each one of the

lower elements is converted to an element similar to the upper element.

Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

1. CUP : LIP :: BIRD : ?

A.BUSH B.GRASS

C.FOREST D.BEAK


Answer: Option D

Explanation:

Cup is used to drink something with the help of lips. similarly Birds collects grass with the help of

beak to make her nest.

2. Flow : River :: Stagnant : ?

A.Rain B.Stream

C.Pool D.Canal


Answer: Option C

Explanation:

As Water of a River flows similarly water of Pool is Stagnant.

A. Rs. 4, Rs. 23

B. Rs. 13, Rs. 17

C. Rs. 15, Rs. 14

D. Rs. 17, Rs. 13


Answer: Option B

Explanation:

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

Then, 2x + 3y = 77 ...(i) and

3x + 2y = 73 ...(ii)

Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

Putting y = 17 in (i), we get: x = 13.

3. An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What

fraction of the total number of students took part in the fete ?

A. 2/13

B. 13/40

A.22 B.23

C.25 D.35


Answer: Option C

Explanation:

Clearly, we have :

B-3 = E ...(i)

B + 3 = D ...(ii)

A+B = D + E+10 ...(iii)

B = C + 2 ...(iv)

A+B + C + D + E= 133 ...(v)

From (i) and (ii), we have : 2 B = D + E ...(vi)

From (iii) and (vi), we have : A = B + 10 ...(vii)

5. A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as

many as E has and if I give you three cards, you will have as many as D has." A and B together have

10 cards more than what D and E together have. If B has two cards more than what C has and the

total number of cards be 133, how many cards does B have ?

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.

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2. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

Quiz: Coordinate Graphs

Use the graph below to answer questions 1 through 8.

1. Name a point whose abscissa is positive.

a. A

b. B

c. D

2. In which quadrant is point A located?

a. II

b. III

c. IV

3. Which point has its x-value equal to twice its y-value?

a. A

b. B

c. E

4. What value is obtained by adding the abscissa of point A with the ordinate of

point D?

a. 4

b. –2

c. –8

5. Which of the following points is directly above point C?

a. (0, 7)

b. (5, 0)

c. (0, –2)

6. What is true for every point located on the x-axis?

a. The abscissa is always zero.

b. The ordinate is always zero.

c. Neither the abscissa nor the ordinate is zero.

7. What is true about every point in quadrant III?

a. The sum of the x and y-coordinates will always be positive.

b. The product of the x and y-coordinates will always be positive.

c. The difference of the x and y-coordinates will always be positive.

Directions to Solve

In each of the questions below consists of a question and two statements numbered I and II given below

it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Read both the statements and

Give answer

(A) If the data in statement I alone are sufficient to answer the question, while the data in

statement II alone are not sufficient to answer the question

(B) If the data in statement II alone are sufficient to answer the question, while the data in

statement I alone are not sufficient to answer the question

(C) If the data either in statement I alone or in statement II alone are sufficient to answer the

question

(D) If the data given in both statements I and II together are not sufficient to answer the question

and

(E) If the data in both statements I and II together are necessary to answer the question.

1. Question: In which year was Rahul born ?

Statements:

Rahul at present is 25 years younger to his mother.1.

Rahul's brother, who was born in 1964, is 35 years younger to his mother.2.

A. I alone is sufficient while II alone is not sufficient

B. II alone is sufficient while I alone is not sufficient

C. Either I or II is sufficient

D. Neither I nor II is sufficient

E. Both I and II are sufficient


Answer: Option E

Explanation:

From both I and II, we find that Rahul is (35 - 25) = 10 years older than his brother, who was born

in 1964. So, Rahul was born in 1954.

2. Question: What will be the total weight of 10 poles, each of the same weight ?

Statements:

One-fourth of the weight of each pole is 5 kg.1.

The total weight of three poles is 20 kilograms more than the total weight of two poles.2.

A. I alone is sufficient while II alone is not sufficient

B. II alone is sufficient while I alone is not sufficient

C. Either I or II is sufficient

D. Neither I nor II is sufficient

E. Both I and II are sufficient


Answer: Option C

Explanation:

From I, we conclude that weight of each pole = (4x5) kg = 20 kg.

So, total weight of 10 poles = (20 x 10) kg = 200 kg.

From II, we conclude that:

Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.

So, total weight of 10 pojes = (20 x 10) kg = 200 kg.

3. Question: How many children does M have ?

Statements:

H is the only daughter of X who is wife of M.1.

K and J are brothers of M.2.

Directions to Solve

In each question below is given a statement followed by two courses of action numbered I and II. You

have to assume everything in the statement to be true and on the basis of the information given in the

statement, decide which of the suggested courses of action logically follow(s) for pursuing.

Give answer

(A) If only I follows

(B) If only II follows

(C) If either I or II follows

(D) If neither I nor II follows

(E) If both I and II follow.

1. Statement: A large number of people in ward X of the city are diagnosed to be suffering from a

fatal malaria type.

Courses of Action:

The city municipal authority should take immediate steps to carry out extensive fumigation

in ward X.

1.

The people in the area should be advised to take steps to avoid mosquito bites.2.

A. Only I follows

B. Only II follows

C. Either I or II follows

D. Neither I nor II follows

E. Both I and II follow


Answer: Option E

Explanation:

Clearly, prevention from mosquitoes and elimination of mosquitoes are two ways to prevent

malaria. So, both the courses follow.


4. Statement: Exporters in the capital are alleging that commercial banks are violating a Reserve

Bank of India directive to operate a post shipment export credit denominated in foreign currency at

international rates from January this year.

Courses of Action:

The officers concerned in the commercial banks are to be suspended.1.

The RBI should be asked to stop giving such directives to commercial banks.2.

A. Only I follows

B. Only II follows

C. Either I or II follows

D. Neither I nor II follows


1. One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's

shadow was exactly to the left of Udai, which direction was Udai facing?

A.East B.West

C.North D.South


Answer: Option C

Explanation:

2. Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of

Y, is P?

A.North B.South

C.South-East D.None of these


Answer: Option D

Explanation:

P is in South-West of Y.

3. If South-East becomes North, North-East becomes West and so on. What will West become?

A.North-East B.North-West

C.South-East D.South-West


Answer: Option C

Explanation:

It is clear from the diagrams that new name of West will become South-East.

Hence required direction is South-West.

Directions to Solve

In each of the following questions, find out which of the answer figures (1), (2), (3) and (4) completes

the figure matrix ?

1. Select a suitable figure from the four alternatives that would complete the figure matrix.

A.1 B.2

C.3 D.4


Answer: Option D

Explanation:

The third figure in each row comprises of parts which are not common to the first two figures.

2. Select a suitable figure from the four alternatives that would complete the figure matrix.

A.1 B.2

C.3 D.4


Answer: Option B

Explanation:

In each row, the second figure is obtained from the first figure by adding two mutually

perpendicular line segments at the centre and the third figure is obtained from the first figure by

adding four circles outside the main figure.

Directions to Solve

In each of the following questions you are given a combination of alphabets and/or numbers followed

by four alternatives (1), (2), (3) and (4). Choose the alternative which is closely resembles the mirror

image of the given combination.

1. Choose the alternative which is closely resembles the mirror image of the given combination.

A.1 B.2

C.3 D.4


Answer: Option B

Explanation:

No answer description available for this question. Let us discuss.


A.1 B.2

C.3 D.4


A.1 B.2

C.3 D.4


A.1 B.2

C.3 D.4


A.1 B.2

C.3 D.4

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two

conclusions numbered (1) and (2). You have to take the given two statements to be true even if they

seem to be at variance from commonly known facts. Read the conclusions and then decide which of the

given conclusions logically follows from the two given statements, disregarding commonly known

facts.

Give answer:

(A) If only (1) conclusion follows

(B) If sonly (2) conclusion follows

(C) If either (1) or (2) follows

(D) If neither (1) nor (2) follows and

(E) If both (1) and (2) follow.

1. Statements: Some actors are singers. All the singers are dancers.

Conclusions:

Some actors are dancers.1.

No singer is actor.2.

A. Only (1) conclusion follows

B. Only (2) conclusion follows

C. Either (1) or (2) follows

D. Neither (1) nor (2) follows

E. Both (1) and (2) follow


Answer: Option A

Explanation:

2. Statements: All the harmoniums are instruments. All the instruments are flutes.

Conclusions:

All the flutes are instruments.1.

All the harmoniums are flutes.2.

A. Only (1) conclusion follows

B. Only (2) conclusion follows

C. Either (1) or (2) follows

D. Neither (1) nor (2) follows

E. Both (1) and (2) follow


Answer: Option BExplanation:

Directions to Solve

In each of the following problems, a square transparent sheet (X) with a pattern is given. Figure out

from amongst the four alternatives as to how the patter would appear when the transparent sheet is

folded at the dotted line.

1. Find out from amongst the four alternatives as to how the pattern would appear when the

transparent sheet is folded at the dotted line.

(X) (1) (2) (3) (4)

A.1 B.2

C.3 D.4


Answer: Option D

Explanation:


2. Find out from amongst the four alternatives as to how the pattern would appear when the

transparent sheet is folded at the dotted line.

(X) (1) (2) (3) (4)

A.1 B.2

C.3 D.4


Answer: Option C

Directions to Solve

In each of the following questions, arrange the given words in a meaningful sequence and thus find the

correct answer from alternatives.

1. Arrange the words given below in a meaningful sequence.

1. Key 2. Door 3. Lock

4. Room 5. Switch on

A.5, 1, 2, 4, 3 B.4, 2, 1, 5, 3

C.1, 3, 2, 4, 5 D.1, 2, 3, 5, 4


Answer: Option C

Explanation:

The correct order is :

Key Lock Door Room Switch on

1 3 2 4 5


1. Word 2. Paragraph 3. Sentence

4. Letters 5. Phrase

A.4, 1, 5, 2, 3 B.4, 1, 3, 5, 2

C.4, 2, 5, 1, 3 D.4, 1, 5, 3, 2


Answer: Option D

Explanation:


Letters Word Phrase Sentence Paragraph

4 1 5 3 2


1. Police 2. Punishment 3. Crime

4. Judge 5. Judgement

A.3, 1, 2, 4, 5 B.1, 2, 4, 3, 5

C.5, 4, 3, 2, 1 D.3, 1, 4, 5, 2


Answer: Option D

Explanation:


Crime Police Judge Judgement Punishment

3 1 4 5 2


1. Family 2. Community 3. Member

4. Locality 5. Country

A.3, 1, 2, 4, 5 B.3, 1, 2, 5, 4

C.3, 1, 4, 2, 5 D.3, 1, 4, 5, 2


Answer: Option A

Explanation:


Member Family Community Locality Country

3 1 2 4 5


1. Poverty 2. Population 3. Death

4. Unemployment 5. Disease

A.2, 3, 4, 5, 1 B.3, 4, 2, 5, 1

C.2, 4, 1, 5, 3 D.1, 2, 3, 4, 5


Answer: Option C

Explanation:


Population Unemployment Poverty Disease Death

2 4 1 5 3

1. A, P, R, X, S and Z are sitting in a row. S and Z are in the centre. A and P are at the ends. R is sitting

to the left of A. Who is to the right of P ?

A.A B.X

C.S D.Z


Answer: Option B

Explanation:

The seating arrangement is as follows:

Therefore, right of P is X.

2. There are 8 houses in a line and in each house only one boy lives with the conditions as given

below:

Jack is not the neighbour Siman.1.

Harry is just next to the left of Larry.2.

There is at least one to the left of Larry.3.

Paul lives in one of the two houses in the middle.4.

Mike lives in between Paul and Larry.5.

If at least one lives to the right of Robert and Harry is not between Taud and Larry, then which one

of the following statement is not correct ?

A. Robert is not at the left end.

B. Robert is in between Simon and Taud.

C. Taud is in between Paul and Jack.

D. There are three persons to the right of Paul.


Answer: Option C

Explanation:


3. A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting

with E who is on the left end of the bench. C is on the second position from the right. A is to the

right of B and E. A and C are sitting together. In which position A is sitting ?

A.Between B and D B.Between B and C

C.Between E and D D.Between C and E


Answer: Option B

Explanation:

Therefore, A is sitting in between B and C.

nowledge

Basics

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Directions to Solve

Each of the following questions consists of five figures marked A, B, C, D and E called the Problem

Figures followed by five other figures marked 1, 2, 3, 4 and 5 called the Answer Figures. Select a

figure from amongst the Answer Figures which will continue the same series as established by the five

Problem Figures.

1. Select a figure from amongst the Answer Figures which will continue the same series as established

by the five Problem Figures.


(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5


Answer: Option C

Explanation:

In each step, element at the upper-right position gets enlarged, inverts vertically and reaches the

nline

ns.org

.in

e

Test

s

pers

lower-left corner; the existing element at the lower-left position, is lost and a new small element

appears at the upper-right position.




(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5




(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5


Answer: Option D

Explanation:

In each step, the CW-end element moves to the ACW-end position.




(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5


Answer: Option A

Explanation:

Both the larger and the smaller squares move to the adjacent corner ACW in each turn. Also, the

shading in the smaller square moves 1, 2, 3, 4, 5, ... steps ACW sequentially and the shading in the

larger square moves 1, 2, 3, 4, 5,.... steps CW sequentially.




(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.1 B.2

C.3 D.4

E.5


Answer: Option A

Explanation:

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an

ACW direction.

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the

given series.

1. 120, 99, 80, 63, 48, ?

A.35 B.38

C.39 D.40


Answer: Option A

Explanation:

The pattern is - 21, - 19, - 17, - 15,.....

So, missing term = 48 - 13 = 35.

2. 589654237, 89654237, 8965423, 965423, ?

A.58965 B.65423

C.89654 D.96542


Answer: Option D

Explanation:

The digits are removed one by one from the beginning and the end in order alternately

so as to obtain the subsequent terms of the series.

3. 3, 10, 101,?

A.10101 B.10201

C.10202 D.11012

4. In the series 2, 6, 18, 54, ...... what will be the 8th term ?

A.4370 B.4374

C.7443 D.7434


Answer: Option B

Explanation:

Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,.....

So, the series is a G.P. in which a = 2, r = 3.

Therefore 8th term = ar8-1

= ar7 = 2 x 3

7 = (2 x 2187) = 4374.

5. 125,80,45,20,?

A.5 B.8

C.10 D.12


Answer: Option A

Explanation:

The pattern is - 45, - 35, - 25, .....

So, missing term = 20 - 15 = 5.

Data Interpretation :: Table Charts

Directions to Solve

Study the following table and answer the questions based on it.

Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.

YearItem of Expenditure

Salary Fuel and Transport Bonus Interest on Loans Taxes

1998 288 98 3.00 23.4 83

1999 342 112 2.52 32.5 108

2000 324 101 3.84 41.6 74

2001 336 133 3.68 36.4 88

2002 420 142 3.96 49.4 98

1. What is the average amount of interest per year which the company had to pay during this period?

A.Rs. 32.43 lakhs B.Rs. 33.72 lakhs

C.Rs. 34.18 lakhs D.Rs. 36.66 lakhs

2. The total amount of bonus paid by the company during the given period is approximately what

percent of the total amount of salary paid during this period?

s

e

A.0.1% B.0.5%

C.1% D.1.25%


Answer: Option C

Explanation:

Required percentage=(3.00 + 2.52 + 3.84 + 3.68 + 3.96)

x 100 %(288 + 342 + 324 + 336 + 420)

=17

x 100 %1710

1%.

3. Total expenditure on all these items in 1998 was approximately what percent of the total

expenditure in 2002?

A.62% B.66%

C.69% D.71%


Answer: Option C

Explanation:

Required percentage=(288 + 98 + 3.00 + 23.4 + 83)

x 100 %(420 + 142 + 3.96 + 49.4 + 98)

=495.4

x 100 %713.36

Administrator

Text Box

69.45%.

4. The total expenditure of the company over these items during the year 2000 is?

A.Rs. 544.44 lakhs B.Rs. 501.11 lakhs

C.Rs. 446.46 lakhs D.Rs. 478.87 lakhs


Answer: Option A

Explanation:

Total expenditure of the Company during 2000

= Rs. (324 + 101 + 3.84 + 41.6 + 74) lakhs

= Rs. 544.44 lakhs.

5. The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel

and Transport for all the years respectively is approximately?

A.4:7 B.10:13

C.15:18 D.5:8


Answer: Option B

Explanation:

Required ratio=(83 + 108 + 74 + 88 + 98)

(98 + 112 + 101 + 133 + 142)

=451

586

=1

1.3

=10.

13

Data Interpretation :: Line ChartsStudy the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore)

े े

1. For which of the following pairs of years the total exports from the three Companies together are

equal?

A.1995 and 1998 B.1996 and 1998

C.1997 and 1998 D.1995 and 1996Answer: Option DExplanation:

Total exports of the three Companies X, Y and Z together, during various years are:

In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.


In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.

In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.


Clearly, the total exports of the three Companies X, Y and Z together are same during the years

1995 and 1996.2. Average annual exports during the given period for Company Y is approximately what percent of

the average annual exports for Company Z?

A.87.12% B.89.64%

C.91.21% D.93.33%

Answer: Option D

Explanation:

Analysis of the graph: From the graph it is clear that

The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996,

1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.

1.

The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996,

1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.

2.

The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996,

1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively.

3.

Average annual exports (in Rs. crore) of Company Y during the given period

=1x (80 + 40 + 60 + 60 + 80 + 100 + 140) =

560= 80.

7 7

Average annual exports (in Rs. crore) of Company Z during the given period

=1x (60 + 90 + 120 + 90 + 60 + 80 + 100) =

600.

7 7

Required percentage =

80

x 100 % 93.33%.600

7

3. In which year was the difference between the exports from Companies X and Y the minimum?

A.1994 B.1995

C.1996 D.1997

Answer: Option C

Explanation:

The difference between the exports from the Companies X and Y during the various years are:

In 1993 = Rs. (80 - 30) crores = Rs. 50 crores.







Clearly, the difference is minimum in the year 1996.

4. What was the difference between the average exports of the three Companies in 1993 and the

average exports in 1998?

A.Rs. 15.33 crores B.Rs. 18.67 crores

C.Rs. 20 crores D.Rs. 22.17 crores

Answer: Option C

Explanation:

Average exports of the three Companies X, Y and Z in 1993

= Rs.1x (30 + 80 + 60) crores = Rs.

170crores.

3 3

Average exports of the three Companies X, Y and Z in 1998

= Rs.1x (50 + 100 + 80) crores = Rs.

230crores.

3 3

Difference= Rs.230

-170

crores3 3

= Rs.60

crores3

= Rs. 20 crores.

5. In how many of the given years, were the exports from Company Z more than the average annual

exports over the given years?

A.2 B.3

C.4 D.5


Answer: Option C

Explanation:

Average annual exports of Company Z during the given period

=1x (60 + 90 + 120 + 90 + 60 + 80 + 100)7

= Rs.600

crores7

= Rs. 85.71 crores.

From the analysis of graph the exports of Company Z are more than the average annual exports of

Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of

the given years.

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e

er

Data Interpretation :: Pie ChartsDirections to Solve

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a

book. Study the pie-chart and the answer the questions based on it.

Various Expenditures (in percentage) Incurred in Publishing a Book

1. If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what

will be amount of royalty to be paid for these books?

A.Rs. 19,450 B.Rs. 21,200

C.Rs. 22,950 D.Rs. 26,150


Answer: Option C

Explanation:

Let the amount of Royalty to be paid for these books be Rs. r.

Then, 20 : 15 = 30600 : r r = Rs.30600 x 15

= Rs. 22,950.20

2. What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

A.15º B.24º

C.54º D.48º


Answer: Option C

Explanation:

Central angle corresponding to Royalty= (15% of 360)º

=15

x 360 º100

= 54º.

3. The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then

what is the cost of the paper used in a single copy of the book?

A.Rs. 36 B.Rs. 37.50

C.Rs. 42 D.Rs. 44.25


Answer: Option B

Explanation:

Clearly, marked price of the book = 120% of C.P.

Also, cost of paper = 25% of C.P

Let the cost of paper for a single book be Rs. n.

Then, 120 : 25 = 180 : n n = Rs.25 x 180

= Rs. 37.50 .120

4. If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what

should be the selling price of the book so that the publisher can earn a profit of 25%?

A.Rs. 187.50 B.Rs. 191.50

C.Rs. 175 D.Rs. 180


Answer: Option A

Explanation:

For the publisher to earn a profit of 25%, S.P. = 125% of C.P.

Also Transportation Cost = 10% of C.P.

Let the S.P. of 5500 books be Rs. x.

Then, 10 : 125 = 82500 : x x = Rs.125 x 82500

= Rs. 1031250.10

S.P. of one book = Rs.1031250

= Rs. 187.50 .5500

5. Royalty on the book is less than the printing cost by:

A.5% B.331%

5

C.20% D.25%


Answer: Option D

Explanation:

Printing Cost of book = 20% of C.P.

Royalty on book = 15% of C.P.

Difference = (20% of C.P.) - (15% of C.P) = 5% of C.P.

Percentage difference=Difference

x 100 %Printing Cost

=5% of C.P.

x 100 % = 25%.Printing Cost

Data Interpretation :: Bar ChartsDirections to Solve

The bar graph given below shows the data of the production of paper (in lakh tonnes) by three different

companies X, Y and Z over the years.

Production of Paper (in lakh tonnes) by Three Companies X, Y and Z over the Years.

e

ers

n Paper

Answer: Option A

Explanation:

Percengate change (rise/fall) in the production of Company Y in comparison to the previous year,

for different years are:

For 1997 =(35 - 25)

x 100 % = 40%.25

For 1998 =(35 - 35)

x 100 % = 0%.25

For 1999 =(40 - 35)

x 100 % = 14.29%.35

For 2000 =(50 - 40)

x 100 % = 25%.40

Hence, the maximum percentage rise/fall in the production of Company Y is for 1997.

1. For which of the following years, the percentage rise/fall in production from the previous year is

the maximum for Company Y?

A.1997 B.1998

C.1999

2. What is the ratio of the average production of Company X in the period 1998-2000 to the average

production of Company Y in the same period?

A.1:1 B.15:17

C.23:25 D.27:29

Answer: Option C

Explanation:

Average production of Company X in the period 1998-2000

=1x (25 + 50 + 40) =

115lakh tons.

3 3

Average production of Company Y in the period 1998-2000

=1x (35 + 40 + 50) =

125lakh tons.

3 3

Required ratio =

115

3=

115

=

23

.125

3125 25

3. The average production for five years was maximum for which company?

A.X B.Y

C.Z D.X and Z both


Answer: Option D

Explanation:

Average production (in lakh tons) in five years for the three companies are:

For Company X =1x (30 + 45 + 25 + 50 + 40) =

190= 38.

5 5

For Company Y =1x (25 + 35 + 35 + 40 + 50) =

185= 37.

5 5

For Company Z =1x (35 + 40 + 45 + 35 + 35) =

190= 38.

5 5

Average production of five years is maximum for both the Companies X and Z.

4. In which year was the percentage of production of Company Z to the production of Company Y the

maximum?

A.1996 B.1997

C.1998 D.1999


Answer: Option A

Explanation:

The percentages of production of Company Z to the production of Company Z for various years

are:

For 1996 =35x 100 % = 140%.

25

For 1997 =40x 100 % = 114.29%.

35

For 1998 =45x 100 % = 128.57%.

35

For 1999 =35x 100 % = 87.5%.

40

For 2000 =35x 100 % = 70%.

50

Clearly, this percentage is highest for 1996.

5. What is the percentage increase in the production of Company Y from 1996 to 1999?

A.30% B.45%

C.50% D.60%


Answer: Option D

Explanation:

Percentage increase in the production of Company Y from 1996 to 1999

=(40 - 25)

x 100 %25

=15x 100 %

25

= 60%.

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