CSAT › Quantitative Aptitude – UPSC Prelims PYQs

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

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group?

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/hr is

The number of times in a day the Hour hand and the Minute hand of a clock at right angles is

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?

In an accurate clock, over a period of 2 hours 20 minutes, the minute hand will move over

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?

If A = x² − y², B = 20 and x + y = 10, then

When the frequency distribution is normal

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 rectangle has a perimeter of 50 metres. If its length is 13 metres more than its breadth, then its area is

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?

Consider the series given below: 4/12/95, 1/1/96, 29/1/96, 26/2/96... The next term of the series is

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 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?

The value of (a – m)(b – m) … (y – m)(z – m) is

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?

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 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 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?

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?

In the Cartesian plane four points P, Q, R, S have coordinates (1, 1), (4, 2), (4, 4) and (1, 4). The area of the quadrilateral PQRS is

Out of a total of 120 musicians in a club, 5 % can play all the three instruments—guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone?

A person earns Rs 2000 per month over and above his salary as additional charge allowance. However, 30 % of this additional income will be deducted as additional income tax at source. If the person would deposit Rs 1000 per month in a long-term saving fetching 12 % interest, his tax liability on the additional allowance would reduce to 10 %. What is the effective interest for this person for money invested in the long-term savings scheme?