GATE-CS-2017 (Set 1)

Question 1

Find the smallest number y such that y x 162 (y multiplied by 162) is a perfect cube.

• 24
• 27
• 32
• 36

Question 2

Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other ?

• Rahul and Murali
• Srinivas and Arul
• Srinivas and Murali
• Srinivas and Rahul

Question 3

Research in the workplace reveals thatpeople work for many reasons _________.

• money beside
• beside money
• money besides
• besides money

Question 4

The probability that a k-digit number does NOT contain the digits 0, 5 or 9 is

• 0.3^k
• 0.6^k
• 0.7^k
• 0.9^k

Question 5

After Rajendra Chola returned from his voyage to Indonesia, he ______ to visit the temple in Tanjavur.

• was wishing
• is wishing
• wished
• had wished

Question 6

Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is

• 2

• 3

• 4

• Can not be determined

Question 7

"The hold of the nationalist imagination on our colonial past is such that 
anything inadequately or improperly nationalist is just not history"

Which of the following statements best reflects the author\'s opinion?

• Nationalists are highly imaginative

• History is viewed through the filter of nationalism

• Our colonial past never happened

• Nationalism has to be both adequately and properly imagined

Question 8

The expression [ (x + y) - |x - y| ] / 2 is equal to

• the maximum of x and y
• the minimum of x and y
• 1
• none of the above

Question 9

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. If in a flood, the water level rises to 525 m, which of the villages P, Q, R, S, T get submerged?

• P,Q
• P,Q,T
• R,S,T
• Q,R,S

Question 10

Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes?

• 21
• 18
• 16
• 14