Quantitative Aptitude GATE CS PYQ quiz

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Question 1

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is

  • 8 meters

  • 10 meters

  • 12 meters

  • 14 meters

Question 2

The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

  • 5

  • 10

  • 15

  • 25

Question 3

Find the sum of the expression

gatecs201321

  • 7

  • 8

  • 9

  • 10

Question 4

What will be the maximum sum of 44, 42, 40, ...... ?

  • 502

  • 504

  • 506

  • 500

Question 5

Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?

  • 13/90

  • 12/90

  • 78/90

  • 77/90

Question 6

The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is

  • 16,500

  • 15,180

  • 11,000

  • 10,120

Question 7

A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h during his entire journey is

  • 36

  • 30

  • 24

  • 18

Question 8

A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again replaced with 1 litre of'water and this process is repeated one more time. How much spirit is now left in the container?

  • 7.58 litres

  • 7.84 litres

  • 7 litres

  • 7.29 litres

Question 9

A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?

  • 4

  • 5

  • 6

  • 7

Question 10

The variable cost (V) of manufacturing a product varies according to the equation V = 4q, where q is the quantity produced. The fixed cost (F) of production of same product reduces with q according to the equation F = 100/q.How many units should be produced to minimize the total cost (V+F)?

  • 5

  • 4

  • 7

  • 6

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