General Aptitude

Question 1

What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder ‘7’ in each case is_

• 3047
• 6047
• 7987
• 63847

Question 2

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

• 502
• 504
• 506
• 500

Question 3

Find the sum of the expression

• 7
• 8
• 9
• 10

Question 4

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 5

Consider the following logical inferences.

I1: If it rains then the cricket match will not be played.

The cricket match was played.

Inference: There was no rain.

I2: If it rains then the cricket match will not be played.

It did not rain.

Inference: The cricket match was played.

Which of the following is TRUE?

• Both I1 and I2 are correct inferences
• I1 is correct but I2 is not a correct inference
• I1 is not correct but I2 is a correct inference
• Both I1 and I2 are not correct inferences

Question 6

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 7

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 8

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is

• 0.288
• 0.334
• 0.667
• 0.720

Question 9

Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged

• P, Q
• Q, R
• P, R
• R, S

Question 10

Given the sequence of terms, AD CG FK JP, the next term is

• OV
• OW
• PV
• PW