General Aptitude

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    Question 1

    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 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

    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 4

    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 5

    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 6

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

    • OV

    • OW

    • PV

    • PW

    Question 7

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

    • 502

    • 504

    • 506

    • 500

    Question 8

    Find the sum of the expression

    gatecs201321

    • 7

    • 8

    • 9

    • 10

    Question 9

    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 10

    If Log(P) = (1/2)Log(Q) = (1/3)Log(R), then which of the following options is TRUE?

    • P2 = Q3R2

    • Q2 = PR

    • Q2 = R3P2

    • R = P2Q2

    There are 144 questions to complete.

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