GATE :6th Feb CS & IT Question Paper and Answer Key/Solution 2016 pdf

Q. 6 – Q. 10 carry two marks each.

Q.6 A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.
Table
Which product contributes the greatest fraction to the revenue of the company in that year?
(A) Elegance
(B) Executive
(C) Smooth
(D) Soft
Answer: (B) Executive

Q.7 Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is. Which of the following can be logically inferred from the above sentences?
(A) India is a country of exactly seventeen languages.
(B) Linguistic pluralism is the only indicator of a nation’s diversity.
(C) Indian currency notes have sufficient space for all the Indian languages.
(D) Linguistic pluralism is strong evidence of India’s diversity.
Answer: (B) Linguistic pluralism is the only indicator of a nation’s diversity.

Q.8 Consider the following statements relating to the level of poker play of four players P, Q, R and S. 
I. P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q
Which of the following can be logically inferred from the above statements?
(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set
(A) (i) only
(B) (ii) only
(C) (i) and (ii)
(D) neither (i) nor (ii)
Answer: (D) neither (i) nor (ii)

Q.9 If f(𝑥) = 2𝑥7 + 3𝑥 − 5, which of the following is a factor of f(x)?
(A) (x 3 +8)
(B) (x-1)
(C) (2x-5)
(D) (x+1)
Answer: (B) (x-1)

Q.10 In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is ________.
(A) 40.00
(B) 46.02
(C) 60.01
(D) 92.02

Answer: (B) 46.02
Please report if you find any errors in the questions. 
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