GATE 2017 CS Set 1

57) Research in the workplace reveals that people work for many reasons _________.

money beside
beside money
money besides
besides money

Answer: D

Explanation:

In the given question, Besides and beside are two words that are often confusing. Grammatically, besides is an adverb or a preposition, and beside a preposition.

Beside means next to.
As a preposition, besides means in addition to or apart from. As an adverb, besides means as well or furthermore.

Therefore, we use here "besides" which mean "in addition to."
Hence option (D) is the correct answer.

58) 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

Answer: C

Explanation:

Assume, they are looking at the center of a circular table, then the possible arrangement is:

From the figure, it is clear that Arul and Rahul will sit opposite to each other. And Murali and Srinivas will sit opposite to each other in the square table.

Therefore option (C) is the correct answer.

59) Find the smallest number y such that y*162 is a perfect cube:

Answer: D

Explanation:

162 = 3 * 3 * 3 * 3 * 2
To make it a perfect cube, we need to add two 3s and two 2s.
So, y = 2 * 2 * 3 * 3
= 36
Therefore, the smallest number that make 162 a perfect cube is 36.
Hence option (D) is the correct answer.

60) 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

Answer: C

Explanation:

The total possible cases for 0 to 9 = (10)^k
Probability of number that does not contain the digits 0, 5 or 9 is = (7)^k with numbers 1,2,3,4,6,7,8

Hence, Required probability = (7)^k / (10)^k = (0.7)^k

Therefore option (C) is the correct answer.

61) "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

Answer: B

Explanation:

The best opinion of the author is 'History is viewed through the filter of nationalism.' It says that we try to overlook facts of history which is not in favor of our nationalism interest.

Therefore option (B) is the correct answer.

62) 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

Answer: A

Explanation:

Given,
There are at least Two Men and Two Women.
There are at least 3 Right Handed People.
So, according to this, there is no women are Right Handed. Hence, the three right-handed people are men.
Now, every woman has a left-handed person to her immediate right, and there are at least 2 women.

So, if we have three women, there will be at least 1 woman will have a right-handed person sitting to her immediate right. But according to the question, there are three right-handed men. Therefore, we can have 2 women, 1 left-handed man and 3 right-handed men on the table.

Therefore option (A) is the correct answer.

63) 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

Answer: B

Explanation:

Given, ( x + y ) - | x - y | / 2
Working of modulus function:
| x-y | = x-y if ( ( x-y )>0 or x>y )
and | x-y | - - x-y ) if ( ( x-y )<0 or x<y )

Now,
Case 1: If x < y
= x + y - ( - (x - y)) / 2
= (x + y + x - y) / 2
= x
Case 2: If x > y
= (x + y - x + y) / 2
= y

Therefore, in both the case we get output minimum of (x,y).

Hence, option (B) is the correct answer.

64) 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?

Answer: D

Explanation:

Given,
Total number of Shirts = 4
Total candidates = 4
So, total possible combination are = 4 X 4 = 16

Since, Arun dislikes the colour red and Shweta dislikes the colour white

So, No. of ways 'Arun chooses red' + No.of ways 'Shwetha chooses white' = 2

Therefore, Answer is 16-2 = 14.

65) 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

Answer: C

Explanation:

The given contour is a hill station.
Given data -- height of all villages
P = 575
Q = 525
R = 475
S = 425
T = 500
The peak point of hill station is P which is under a contour of 550.
At floods, the water level is 525 m. So, the village of R, S and T are under a contour of 500.
R < 500m
425m <= S <= 450m
500m <= T <= 525m
Therefore these villages are submerged.
Hence, option (C) will be the correct answer.