Quantitative Aptitude

179 questions in Science & Technology.

Asked in 2007, 2006, 2005, 2004

2007 · Q149 Science & TechnologyQuantitative Aptitude

The average salary of 100 employees in an office is Rs 16,000 per month. The management decided to raise salary of every employee by 5% but stopped a transport allowance of Rs 800 per month which was paid earlier to every employee. What will be the new average monthly salary?

(a)Rs 16,000
(b)Rs 16,500
(c)Rs 16,800
(d)Cannot be known since data are insufficient

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Official answer(a) Rs 16,000

2006 · Q45 Science & TechnologyQuantitative Aptitudemoderate

A watch showed a time of fourteen minutes past nine (9 hrs 14 minutes). The positions of the hour-hand and the minute-hand of the watch are exactly interchanged. The new time shown by the watch is closest to which one of the following?

(a)Twelve minutes to three
(b)Thirteen minutes to three
(c)Fourteen minutes to three
(d)Fifteen minutes to three

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Official answer(c) Fourteen minutes to three

2006 · Q56 Science & TechnologyQuantitative Aptitudemoderate

Each of 8 identical balls is to be placed in the squares shown in the figure given above in a horizontal direction such that one horizontal row contains 6 balls and the other horizontal row contains 2 balls. In how many maximum different ways can this be done?

(a)38
(b)28
(c)16
(d)14

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Official answer(a) 38

2006 · Q60 Science & TechnologyQuantitative Aptitudedifficult

In a tournament each of the participants was to play one match against each of the other participants. 3 players fell ill after each of them had played three matches and had to leave the tournament. What was the total number of participants at the beginning, if the total number of matches played was 75 ?

(a)8
(b)10
(c)12
(d)15

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Official answer(d) 15

2006 · Q62 Science & TechnologyQuantitative Aptitudeeasy

A box contains 5 sets of balls while there are 3 balls in each set. Each set of balls has one colour which is different from every other set. What is the least number of balls that must be removed from the box in order to claim with certainty that a pair of balls of the same colour has been removed?

(a)6
(b)7
(c)8
(d)9

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Official answer(a) 6

2006 · Q68 Science & TechnologyQuantitative Aptitudeeasy

3 digits are chosen at random from 1, 2, 3, 4, 5, 6, 7, 8 and 9 without repeating any digit. What is the probability that their product is odd?

(a)2/3
(b)5/108
(c)5/42
(d)7/48

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Official answer(c) 5/42

2006 · Q92 Science & TechnologyQuantitative Aptitudeeasy

In a question paper, there are four multiple-choice questions. Each question has five choices with only one choice for its correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?

(a)19
(b)120
(c)624
(d)1024

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Official answer(c) 624

2006 · Q101 Science & TechnologyQuantitative Aptitudedifficult

There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second line, and points E and F are marked on the third line. Each of these six points can move to any position on its respective straight line. Consider the following statements: 1. The minimum number of triangles that can be formed by joining these points is zero. 2. The maximum number of triangles that can be formed by joining these points is twenty. Which of the statements given above is/are correct?

(a)1 only
(b)2 only
(c)Both 1 and 2
(d)Neither 1 nor 2

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Official answer(c) Both 1 and 2

2006 · Q102 Science & TechnologyQuantitative Aptitudemoderate

A mixed doubles tennis game is to be played between two teams (each team consists of one male and one female). There are 4 married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played?

(a)12
(b)21
(c)36
(d)42

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Official answer(d) 42

2006 · Q136 Science & TechnologyQuantitative Aptitudemoderate

How many numbers are there in all 6000 to 6999 (both 6000 and 6999 included) having at least one of their digits repeated?

(a)216
(b)356
(c)496
(d)504

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Official answer(c) 496

2006 · Q137 Science & TechnologyQuantitative Aptitudemoderate

Each of 2 women and 3 men is to occupy one chair out of 8 chairs, each of which is numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then 3 men would occupy any three chairs out of the remaining 6 chairs. What is the maximum number of different ways in which this can be done?

(a)40
(b)132
(c)1440
(d)3660

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Official answer(c) 1440

2005 · Q96 Science & TechnologyQuantitative Aptitudemoderate

Left pan of a faulty balance weighs 100 gram more than its right pan. A shopkeeper keeps the weight measure in the left pan while buying goods but keeps it in the right pan while selling his goods. He uses only 1 kg weight measure. If he sells his goods at the listed cost price, what is his gain?

(a)200 1/11 %
(b)100/11 %
(c)100/9 %
(d)200/9 %

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Official answer(d) 200/9 %

2005 · Q97 Science & TechnologyQuantitative Aptitudemoderate

On a railway route between two places A and B, there are 10 stations on the way. If 4 new stations are to be added, how many types of new tickets will be required if each ticket is issued for a one-way journey?

(a)14
(b)48
(c)96
(d)108

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Official answer(d) 108

2005 · Q98 Science & TechnologyQuantitative Aptitudemoderate

Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul’s dog runs at a speed of 60 metre/minute and starts along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?

(a)600 metres
(b)750 metres
(c)980 metres
(d)1200 metres

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Official answer(d) 1200 metres

2005 · Q99 Science & TechnologyQuantitative Aptitudedifficult

A big rectangular plot of area 4320 m² is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot?

(a)160 m × 27 m
(b)240 m × 18 m
(c)120 m × 36 m
(d)135 m × 32 m

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Official answer(c) 120 m × 36 m

2005 · Q103 Science & TechnologyQuantitative Aptitudemoderate

2 men and 1 woman board a bus in which 5 seats are vacant. One of these five seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies but a man can not sit on the seat reserved for ladies. In how many different ways can the five seats be occupied by these three passengers?

(a)15
(b)36
(c)48
(d)60

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Official answer(b) 36

2005 · Q111 Science & TechnologyQuantitative Aptitudemoderate

A square is divided into 9 identical smaller squares. Six identical balls are to be placed in these smaller squares such that each of the three rows gets at least one ball (one ball in one square only). In how many different ways can this be done?

(a)27
(b)36
(c)54
(d)81

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Official answer(d) 81

2005 · Q112 Science & TechnologyQuantitative Aptitudemoderate

There are 6 persons – A, B, C, D, E and F. They are to be seated in a row such that B never sits anywhere ahead of A. In how many different ways can this be done?

(a)60
(b)72
(c)120
(d)None of the above

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Official answer(c) 120

2005 · Q117 Science & TechnologyQuantitative Aptitudemoderate

300 persons are participating in a meeting, out of which 120 are foreigners and the rest are Indians. Out of the Indians there are 110 men who are not judges; 160 are men judges, and 35 are women judges. There are no foreign judges. How many Indian women attended the meeting?

(a)35
(b)45
(c)55
(d)60

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Official answer(c) 55

2005 · Q118 Science & TechnologyQuantitative Aptitude

There are 6 persons: A, B, C, D, E and F. (i) A has 3 items more than C (ii) D has 4 items less than B (iii) E has 6 items less than F (iv) C has 2 items more than E (v) F has 3 items more than D Which one of the following figures can not be equal to the total number of items possessed by all the 6 persons?

(a)41
(b)47
(c)53
(d)58

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Official answer(d) 58

2005 · Q119 Science & TechnologyQuantitative Aptitudemoderate

Ten identical particles are moving randomly inside a closed box. What is the probability that at any given point of time all ten particles will be lying in the same half of the box?

(a)1/2
(b)1/5
(c)2/11
(d)1/512

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Official answer(d) 1/512

2005 · Q120 Science & TechnologyQuantitative Aptitudemoderate

An equilateral triangular plate is to be cut into a number of identical small equilateral triangular plates. Which one of the following can be a possible value of n?

(a)196
(b)216
(c)256
(d)296

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Official answer(c) 256

2005 · Q121 Science & TechnologyQuantitative Aptitudedifficult

There are 10 identical coins and each one of them has ‘H’ engraved on one face and ‘T’ engraved on the other face. These 10 coins are lying on a table and each one of them has the ‘H’ face as the upper face. In one attempt, exactly four (neither more nor less) coins can be turned upside down. What is the minimum number of attempts in which the ‘T’ faces of all the 10 coins can be brought to be the upper faces?

(a)4
(b)7
(c)8
(d)Not possible

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Official answer(a) 4

2004 · Q96 Science & TechnologyQuantitative Aptitudemoderate

Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr. Car X stops at 10 a.m. and again starts at 11 a.m. while the other car Y continues to run without stopping. When do the two cars cross each other?

(a)2:40 p.m.
(b)3:20 p.m.
(c)4:10 p.m.
(d)4:20 p.m.

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Official answer(b) 3:20 p.m.

2004 · Q97 Science & TechnologyQuantitative Aptitudemoderate

In a question of a test paper, there are five items each under List-A and List-B. The examinees are required to match each item under List-A with its corresponding correct item under List-B. Further, it is given that 1. No examinee has given the correct answer 2. Answers of no two examinees are identical What is the maximum number of examinees who took this test?

(a)24
(b)26
(c)19
(d)129

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Official answer(c) 19