Quantitative Aptitude

179 questions in Science & Technology.

Asked in 2001, 2000, 1999

2001 · Q140 Science & TechnologyQuantitative Aptitudeeasy

A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. If he walks at a speed of 6 km/hr, then he reaches the factory 7 minutes early. The distance of the factory from his house is

(a)4 km
(b)5 km
(c)6 km
(d)7 km

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Official answer(b) 5 km

2001 · Q141 Science & TechnologyQuantitative Aptitudeeasy

A conveyer belt delivers baggage at the rate of 3 tons in 5 minutes, and a second conveyer belt delivers baggage at the rate of 1 ton in 2 minutes. How much time will it take to get 33 tons of baggage delivered using both the conveyer belts?

(a)25 minutes and 30 seconds
(b)30 minutes
(c)35 minutes
(d)40 minutes and 45 seconds

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Official answer(b) 30 minutes

2001 · Q142 Science & TechnologyQuantitative Aptitudeeasy

Water is filled in a container in such a manner that its volume doubles after every five minutes. If it takes 30 minutes for the container to be full, in how much time will it be one-fourth full?

(a)7 minutes and 30 seconds
(b)10 minutes
(c)20 minutes
(d)25 minutes

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Official answer(c) 20 minutes

2001 · Q143 Science & TechnologyQuantitative Aptitudeeasy

A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is

(a)24,000
(b)30,000
(c)54,000
(d)60,000

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Official answer(a) 24,000

2001 · Q144 Science & TechnologyQuantitative Aptitudeeasy

In a survey, it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. If 55% owned both a car and a mobile phone, what per cent of those surveyed owned a car or a mobile phone or both?

(a)65%
(b)80%
(c)85%
(d)97.5%

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Official answer(c) 85%

2001 · Q145 Science & TechnologyQuantitative Aptitudemoderate

In 1930, a person’s age was 8 times that of his son. In 1938, the father’s age became ten times that of his son’s age in 1930. The ages of the son and father in 1940 were, respectively.

(a)16 years, 58 years
(b)15 years, 50 years
(c)14 years, 42 years
(d)13 years, 34 years

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Official answer(c) 14 years, 42 years

2001 · Q146 Science & TechnologyQuantitative Aptitudemoderate

A circle of 1 m radius is drawn inside a square as shown in the figure given above. What is the area of the shaded portion in m²?

(a)(4 - π)
(b)1 + (π/2)
(c)(1/4) - (π/4)
(d)1 - (π/4)

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Official answer(d) 1 - (π/4)

2001 · Q148 Science & TechnologyQuantitative Aptitudemoderate

In the above figure, ABCD is a cyclic quadrilateral, AB = BC and angle BAC = 70°, then angle ADC is

(a)40°
(b)80°
(c)110°
(d)140°

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Official answer(d) 140°

2001 · Q150 Science & TechnologyQuantitative Aptitudeeasy

A person travels from X to Y at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips?

(a)36 kmph
(b)45 kmph
(c)48 kmph
(d)50 kmph

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Official answer(c) 48 kmph

2000 · Q129 Science & TechnologyQuantitative Aptitudeeasy

A rectangular water tank measures 15 m × 6 m at top and is 10 m deep. It is full of water. If water is drawn out lowering the level by 1 metre, how much of water has been drawn out?

(a)45,000 litres
(b)90,000 litres
(c)4,500 litres
(d)900 litres

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Official answer(b) 90,000 litres

2000 · Q130 Science & TechnologyQuantitative Aptitudeeasy

An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?

(a)150°
(b)144°
(c)168°
(d)180°

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Official answer(d) 180°

2000 · Q131 Science & TechnologyQuantitative Aptitudemoderate

The monthly income of Komal and Asha are in the ratio of 4 : 3. Their monthly expenses are in the ratio of 3 : 2. However, both save Rs. 600 per month. What is their total monthly income?

(a)Rs. 8,400
(b)Rs. 5,600
(c)Rs. 4,200
(d)Rs. 2,800

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Official answer(c) Rs. 4,200

2000 · Q132 Science & TechnologyQuantitative Aptitudeeasy

If X = –2, then X³ – X² – X – 1 is equal to

(a)1
(b)–3
(c)–11
(d)–15

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Official answer(c) –11

2000 · Q133 Science & TechnologyQuantitative Aptitudemoderate

In the given figure, all line segments of the shaded portion are of the same length and at right angles to each other. The same can be cut out of a board of side 10 cm. What is the area of the shaded portion?

(a)36 cm²
(b)48 cm²
(c)52 cm²
(d)64 cm²

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Official answer(c) 52 cm²

2000 · Q139 Science & TechnologyQuantitative Aptitudeeasy

In a class there are 18 boys who are over 160 cm tall. If these boys constitute three fourths of the boys and the total number of boys is two third of the number of students in the class, then what is the number of girls in the class?

(a)6
(b)12
(c)18
(d)24

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Official answer(b) 12

2000 · Q140 Science & TechnologyQuantitative Aptitudemoderate

A rectangular piece of iron sheet measuring 50 cm by 100 cm is rolled into a cylinder of height 50 cm. If the cost of painting the cylinder is Rs. 50 per square metre, then what will be the cost of painting the outer surface of the cylinder?

(a)Rs. 25.00
(b)Rs. 37.50
(c)Rs. 75.00
(d)Rs. 87.50

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Official answer(a) Rs. 25.00

2000 · Q141 Science & TechnologyQuantitative Aptitudemoderate

In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics?

(a)750
(b)500
(c)250
(d)125

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Official answer(b) 500

2000 · Q142 Science & TechnologyQuantitative Aptitudeeasy

A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blind-folded (without replacing any of it) to be assured of picking at least one ball of each colour?

(a)4
(b)7
(c)11
(d)16

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Official answer(d) 16

2000 · Q143 Science & TechnologyQuantitative Aptitudeeasy

Which one of the following has a greater perimeter than the rest?

(a)A square with an area of 36 sq. cm
(b)An equilateral triangle with a side of 9 cm
(c)A rectangle with 10 cm as length and 40 sq. cm as area
(d)A circle with a radius of 4 cm

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Official answer(c) A rectangle with 10 cm as length and 40 sq. cm as area

2000 · Q144 Science & TechnologyQuantitative Aptitudemoderate

In the given figure, angle QOP = 30° and angle ORP = 20°, angle QOR is equal to

(a)100°
(b)120°
(c)130°
(d)140°

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Official answer(c) 130°

2000 · Q149 Science & TechnologyQuantitative Aptitudemoderate

The distribution of 1,00,000 tourists who visited India during a particular year is shown in the given charts. Based on this, the number of Japanese tourists below the age of 39 who visited India in the year concerned is

(a)10,000
(b)8,000
(c)6,000
(d)4,000

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Official answer(d) 4,000

2000 · Q150 Science & TechnologyQuantitative Aptitudeeasy

What is the maximum number of pieces of 5 cm × 5 cm × 10 cm cake that can be cut from a big cake of 5 cm × 30 cm × 30 cm size?

(a)10
(b)15
(c)18
(d)30

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Official answer(c) 18

1999 · Q131 Science & TechnologyQuantitative Aptitudeeasy

In the sequence of numbers 5, 8, 13, X, 34, 55, 89, ……… the value of ‘X’ is

(a)20
(b)21
(c)23
(d)29

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Official answer(b) 21

1999 · Q134 Science & TechnologyQuantitative Aptitudemoderate

The average speed of a train in the onward journey is 25% more than that of the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to-and-fro journey is 17 hours covering a distance of 800 km. The speed of the train in the onward journey is

(a)45 km per hour
(b)47.06 km per hour
(c)50.00 km per hour
(d)56.25 km per hour

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Official answer(d) 56.25 km per hour

1999 · Q135 Science & TechnologyQuantitative Aptitudemoderate

In a town 25% families own a phone and 15% own a car. 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard: I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town. Which of the above statements are correct?

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

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Official answer(c) II and III