P is 300 km eastward of O and Q is 400 km north of O. R is exactly in the middle of Q and P. The distance between Q and R is
- (a)250 km
- (b)300 km
- (c)350 km
- (d)250* km
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Official answer(a) 250 km
Quantitative Aptitude
179 questions in Science & Technology.
Asked in 1997, 1996, 1995
When three coins are tossed together the probability that all coins have the same face up is
- (a)1/3
- (b)1/6
- (c)1/8
- (d)None of these
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Official answer(c) 1/8
The number of students in two sections, A and B, having different heights is shown in the following table: Height (in metres) Number of students with that height in Section A Section B 1.55 3 2 1.60 7 3 1.62 12 14 1.65 15 14 1.68 8 9 1.71 6 5 1.75 3 4 The ratio of the number of students of a particular height in Section A to that in Section B is the maximum for the height of
- (a)1.55 m
- (b)1.60 m
- (c)1.65 m
- (d)1.71 m
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Official answer(b) 1.60 m
If the number representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be
- (a)3
- (b)4
- (c)5
- (d)6
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Official answer(d) 6
The length, breadth and height of a room are l, b and h respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls is
- (a)100 h
- (b)100/h
- (c)h
- (d)h/100
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Official answer(b) 100/h
A survey was conducted on a sample of 1000 persons with reference to their knowledge of English, French and German. The results of the survey are presented in the given Venn diagram. The ratio of the number of persons who do not know any of the three languages to those who know all the three languages is
- (a)1/27
- (b)1/25
- (c)7/550
- (d)175/1000
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Official answer(b) 1/25
The number of times in a day the Hour hand and the Minute hand of a clock at right angles is
- (a)44
- (b)48
- (c)24
- (d)12
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Official answer(a) 44
Consider the following figures: (i) a rectangle 4 cm × 9 cm (ii) a square of side 6 cm (iii) a right-angled triangle with base 8 cm and height 9 cm Which one of the following conclusions can be drawn from these figures?
- (a)The areas of the three figures are all different
- (b)The areas of all the three figures are equal
- (c)The perimeters of the three figures are equal
- (d)The perimeters of figures I and II are equal
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Official answer(b) The areas of all the three figures are equal
In an accurate clock, over a period of 2 hours 20 minutes, the minute hand will move over
- (a)520°
- (b)320°
- (c)840°
- (d)140°
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Official answer(c) 840°
If the price of a television set is increased by 25%, then by what percentage should the new price be reduced to bring the price back to the original level?
- (a)15%
- (b)25%
- (c)20%
- (d)30%
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Official answer(c) 20%
The given pie charts show the proportion of literates and illiterates in a country, in the year 1970 and 1990 and also the proportion of males (M) and females (F) among the literates. Which one of the following statements can be said to be beyond any doubt?
- (a)In 1970 has of the illiterates were women (females)
- (b)The proportion of literate males to the total population of males remained the same over the years
- (c)Male literacy did not improve over this period
- (d)The ratio of female literates to male literates improved significantly over this period
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Official answer(d) The ratio of female literates to male literates improved significantly over this period
If A = x² − y², B = 20 and x + y = 10, then
- (a)A is greater than B
- (b)B is greater than A
- (c)A is equal to B
- (d)It is not possible to compare A and B as the data provided is inadequate
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Official answer(d) It is not possible to compare A and B as the data provided is inadequate
When the frequency distribution is normal
- (a)median, mode and mean are all different from one another
- (b)mean, mode and median are identical
- (c)mean is greater than mode
- (d)mean is greater than median
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Official answer(b) mean, mode and median are identical
The average of X1, X2 and X3 is 14. Twice the sum of X2 and X3 is 30. What is the value of X1?
- (a)20
- (b)27
- (c)16
- (d)12
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Official answer(b) 27
A rectangle has a perimeter of 50 metres. If its length is 13 metres more than its breadth, then its area is
- (a)124 m²
- (b)144 m²
- (c)114 m²
- (d)104 m²
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Official answer(c) 114 m²
Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are Jacks?
- (a)1/13
- (b)2/13
- (c)7/1339
- (d)1/169
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Official answer(c) 7/1339
Consider the series given below: 4/12/95, 1/1/96, 29/1/96, 26/2/96... The next term of the series is
- (a)24/3/96
- (b)25/3/96
- (c)26/3/96
- (d)27/3/96
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Official answer(b) 25/3/96
In track meets both 100 yards and 100 metres are used as distances. By how many metres is 100 metres longer than 100 yards?
- (a)0.856 m
- (b)8.56 m
- (c)0.0856 m
- (d)1.0 m
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Official answer(b) 8.56 m
A person travelled from one place to another at an average speed of 40 kilometres/hour and back to the original place at an average speed of 50 kilometres/hour. What is his average speed in kilometres/hour during the entire roundtrip?
- (a)45
- (b)20
- (c)400/9
- (d)Impossible to find out unless the distance between the two places is known
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Official answer(c) 400/9
The value of (a – m)(b – m) … (y – m)(z – m) is
- (a)m26 + am25 + abm24 + … + a.b.c … z
- (b)m26 – am25 + abm24 + … – a.b.c … z
- (c)0
- (d)Indeterminate
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Official answer(c) 0
A rectangular sump of dimensions 6 m × 5 m × 4 m is to be built by using bricks to make the outer dimension 6.2 m × 5.2 m × 4.2 m. Approximately how many bricks of size 20 cm × 10 cm × 5 cm are required to build the sump for storing water?
- (a)1500
- (b)3000
- (c)15000
- (d)30000
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Official answer(c) 15000
Consider the figure given below: PQRS is a square of side 1 unit and Q, S are the centres of the two circles. The area of the shaded portion is
- (a)π/2
- (b)1/2
- (c)π/4 – 1/2
- (d)π/2 – 1
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Official answer(d) π/2 – 1
A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 metres ahead of the policeman, then the time required for the policeman to catch the thief will be
- (a)2 minutes
- (b)6 minutes
- (c)10 minutes
- (d)3 minutes
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Official answer(d) 3 minutes
A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?
- (a)12
- (b)36
- (c)4
- (d)10
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Official answer(d) 10
One of the drawers is opened at random and a coin is drawn. It is found to be a silver coin. What is the probability that the other coin in the drawer is a gold coin?
- (a)0.25
- (b)1.00
- (c)0.50
- (d)0.60
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Official answer(c) 0.50