Quantitative Aptitude

179 questions in Science & Technology.

Asked in 2004, 2003, 2002, 2001

2004 · Q104 Science & TechnologyQuantitative Aptitudemoderate

A and B start from the same point and in the same direction at 7 a.m. to walk around a rectangular field 400 m × 300 m. A and B walk at the rate of 3 km/hr and 2.5 km/hr respectively. How many times shall they cross each other if they continue to walk till 1 and 2.30 p.m.?

(a)Not even once
(b)Once
(c)Twice
(d)Thrice

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Official answer(c) Twice

2004 · Q110 Science & TechnologyQuantitative Aptitudemoderate

Nine different letters are to be dropped in three different letter boxes. In how many different ways can this be done?

(a)27
(b)3^9
(c)9^3
(d)3^9 − 3

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Official answer(b) 3^9

2004 · Q136 Science & TechnologyQuantitative Aptitudedifficult

How many three-digit even numbers are there such that 9 comes as a succeeding digit in any number only when 7 is the preceding digit, and 7 is the preceding digit only when 9 is the succeeding digit?

(a)120
(b)210
(c)365
(d)405

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Official answer(d) 405

2004 · Q139 Science & TechnologyQuantitative Aptitudemoderate

In how many different ways can six players be arranged in a line such that two of them, Ajit and Mukherjee, are never together?

(a)120
(b)240
(c)360
(d)480

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Official answer(d) 480

2004 · Q142 Science & TechnologyQuantitative Aptitudemoderate

50 men or 80 women can finish a job in 50 days. A contractor deploys 40 men and 48 women for this work, but after every duration of 10 days, 5 men and 8 women are removed till the work is completed. The work is completed in

(a)45 days
(b)50 days
(c)54 days
(d)62 days

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Official answer(b) 50 days

2004 · Q147 Science & TechnologyQuantitative Aptitudeeasy

Three students are picked at random from a school having a total of 1000 students. The probability that these three students will have identical date and month of their birth is

(a)3/1000
(b)3/365
(c)1/(365)²
(d)1/(365)³

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Official answer(c) 1/(365)²

2003 · Q4 Science & TechnologyQuantitative Aptitudeeasy

Three flags, each of different colour, are available for a military exercise. Using these flags, different codes can be generated by waving i) a single flag of different colours, or ii) any two flags in a different sequence of colours, or iii) three flags in a different sequence of colours. The maximum number of codes that can be generated is

(a)6
(b)9
(c)15
(d)18

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Official answer(c) 15

2003 · Q44 Science & TechnologyQuantitative Aptitudeeasy

A car travels the first one-third of a certain distance with a speed of 10 km/hr, the next one-third distance with a speed of 20 km/hr and the last one-third distance with a speed of 60 km/hr. The average speed of the car for the whole journey is

(a)18 km/hr
(b)24 km/hr
(c)30 km/hr
(d)36 km/hr

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Official answer(a) 18 km/hr

2003 · Q49 Science & TechnologyQuantitative Aptitudeeasy

‘A’ walks around a circular field at the rate of one round per hour while ‘B’ runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at

(a)8.30 a.m.
(b)8.10 a.m.
(c)7.48 a.m.
(d)7.42 a.m.

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Official answer(d) 7.42 a.m.

2003 · Q69 Science & TechnologyQuantitative Aptitudemoderate

A two-member committee comprising of one male and one female member is to be constituted out of five males and three females. Amongst the females, Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted?

(a)11
(b)12
(c)13
(d)14

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Official answer(d) 14

2003 · Q120 Science & TechnologyQuantitative Aptitudeeasy

Three bells toll at intervals of 9, 12 and 15 minutes respectively. All three begin to toll at 8 a.m. At what time will they first toll together again?

(a)8.45 a.m.
(b)10.30 a.m.
(c)11.00 a.m.
(d)1.30 p.m.

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Official answer(c) 11.00 a.m.

2003 · Q132 Science & TechnologyQuantitative Aptitudemoderate

Total time taken by a person in going to a place by walking and returning on cycle is 5 hours 45 minutes. He would have gained 2 hours by cycling both ways. The time taken by him to walk both ways is

(a)6 hours 45 minutes
(b)7 hours 45 minutes
(c)8 hours 15 minutes
(d)8 hours 30 minutes

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Official answer(b) 7 hours 45 minutes

2003 · Q141 Science & TechnologyQuantitative Aptitudemoderate

‘A’ and ‘B’ are two fixed points in a field. A cyclist C moves such that ACB is always a right angle. In this context, which one of the following statements is correct?

(a)The path followed by the cyclist is an ellipse
(b)The path followed by the cyclist is a circle
(c)The path followed by the cyclist is an exponential curve
(d)This type of motion is not possible

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Official answer(b) The path followed by the cyclist is a circle

2002 · Q1 Science & TechnologyQuantitative Aptitudeeasy

A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 seconds, yellow for 5 seconds and red for 30 seconds. At a randomly chosen time, the probability that the light will not be green is

(a)1/3
(b)1/4
(c)5/12
(d)7/12

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Official answer(d) 7/12

2002 · Q10 Science & TechnologyQuantitative Aptitudeeasy

A trader fixed the price of an article in such a way that by giving a rebate of 10 % on the price fixed he made a profit of 15 %. If the cost of the article is Rs 72, the price fixed on it is

(a)Rs 82.80
(b)Rs 90.00
(c)Rs 92.00
(d)Rs 97.80

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Official answer(c) Rs 92.00

2002 · Q20 Science & TechnologyQuantitative Aptitudeeasy

Consider the volumes of the following: 1. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm 2. A cube of each side 4 cm 3. A cylinder of radius 3 cm and length 3 cm 4. A sphere of radius 3 cm The volumes of these in the decreasing order is

(a)I, III, II, IV
(b)IV, II, III, I
(c)I, II, III, IV
(d)IV, III, II, I

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Official answer(d) IV, III, II, I

2002 · Q34 Science & TechnologyQuantitative Aptitudeeasy

A train of length 150 metres, moving at a speed of 90 km/hr can cross a 200-metre bridge in

(a)8 seconds
(b)14 seconds
(c)6 seconds
(d)15 seconds

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Official answer(b) 14 seconds

2002 · Q63 Science & TechnologyQuantitative Aptitudeeasy

The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double the sum of the ages of his sons. The father’s present age is

(a)40 years
(b)45 years
(c)50 years
(d)55 years

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Official answer(b) 45 years

2002 · Q64 Science & TechnologyQuantitative Aptitudeeasy

The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is

(a)12 m
(b)14 m
(c)17 m
(d)21 m

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Official answer(c) 17 m

2002 · Q68 Science & TechnologyQuantitative Aptitudeeasy

In a company 60 % of the employees are men. Of these, 40 % are drawing more than Rs 50,000 per year. If 36 % of the total employees of the company draw more than Rs 50,000 per year, what is the percentage among women who are drawing less than Rs 50,000 per year?

(a)70
(b)60
(c)40
(d)30

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Official answer(a) 70

2002 · Q78 Science & TechnologyQuantitative Aptitudeeasy

A bus is moving at 30 km/h, and a car is coming from behind at 50 km/h. How far apart are they if it takes 15 minutes for the car to catch up with the bus?

(a)5 km
(b)7.5 km
(c)12.5 km
(d)15 km

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Official answer(a) 5 km

2002 · Q91 Science & TechnologyQuantitative Aptitudemoderate

Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometres does each lady travel in one hour?

(a)5 km, 3 km
(b)7 km, 5 km
(c)8 km, 6 km
(d)16 km, 14 km

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Official answer(c) 8 km, 6 km

2002 · Q104 Science & TechnologyQuantitative Aptitudemoderate

Amit started a business by investing Rs 30,000. Rahul joined the business after some time and invested Rs 20,000. At the end of the year, profit was divided in the ratio of 2 : 1. After how many months did Rahul join the business?

(a)2
(b)3
(c)4
(d)5

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Official answer(b) 3

2002 · Q105 Science & TechnologyQuantitative Aptitudeeasy

The time in the wall clock is 3.25; the acute angle between the hours hand and the minutes hand is

(a)60°
(b)52 ½°
(c)47 ½°
(d)42°

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Official answer(c) 47 ½°

2001 · Q139 Science & TechnologyQuantitative Aptitudeeasy

Solve the given equations: x² + y² = 34 x⁴ − y⁴ = 544 The values of x and y are

(a)±4, ±3
(b)±5, ±3
(c)±3, ±5
(d)±3, ±4

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Official answer(b) ±5, ±3