GATE CS 2013

Question 51

Find the sum of the expression

• 7
• 8
• 9
• 10

Question 52

After several defeats in wars, Robert Bruce went in exile and wanted to commit suicide. Just before committing suicide, he came across a spider attempting tirelessly to have its net. Time and again, the spider failed but that did not deter it to refrain from making attempts. Such attempts by the spider made Bruce curious. Thus, Bruce started observing the near-impossible goal of the spider to have the net. Ultimately, the spider succeeded in having its net despite several failures. Such act of the spider encouraged Bruce not to commit suicide. And then, Bruce went back again and won many a battle, and the rest is history. Which one of the following assertions is best supported by the above information?

• Failure is the pillar of success.
• Honesty is the best policy.
• Life begins and ends with adventures.
• No adversity justifies giving up hope.

Question 53

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 54

The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is

• 16,500
• 15,180
• 11,000
• 10,120

Question 55

Consider the given graph Its Minimum Cost Spanning Tree is __________. (1) (2) (3) (4)

• (1)
• (2)
• (3)
• (4)

Question 56

Which of the following is/are functionally complete?

• f(a, b, c) = (a + b)(a + c)

• f(a, b, c) = a'b' + b'c + c'a'

• f(a, b, c) = a' + bc

• None of the above

Question 57

Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?

• 13/90
• 12/90
• 78/90
• 77/90

Question 58

Were you a bird, you ______________ in the sky.

• would fly
• shall fly
• should fly
• shall have flown