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?
  • A

    Both I1 and I2 are correct inferences

  • B

    I1 is correct but I2 is not a correct inference

  • C

    I1 is not correct but I2 is a correct inference

  • D

    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

  • A

    5

  • B

    10

  • C

    15

  • D

    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

  • A

    8 meters

  • B

    10 meters

  • C

    12 meters

  • D

    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

  • A

    0.288

  • B

    0.334

  • C

    0.667

  • D

    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

  • A

    P, Q

  • B

    Q, R

  • C

    P, R

  • D

    R, S

Question 6

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

  • A

    OV

  • B

    OW

  • C

    PV

  • D

    PW

Question 7

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

  • A

    502

  • B

    504

  • C

    506

  • D

    500

Question 8

Find the sum of the expression

gatecs201321

  • A

    7

  • B

    8

  • C

    9

  • D

    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

  • A

    36

  • B

    30

  • C

    24

  • D

    18

Question 10

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

  • A

    P2 = Q3R2

  • B

    Q2 = PR

  • C

    Q2 = R3P2

  • D

    R = P2Q2

There are 144 questions to complete.

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