Mechanical Engineering Gate 2014 Set-2 Questions

Choose the most appropriate word from the options given below to complete the following sentence.
Communication and interpersonal skills are important in their own ways.

a) each
b) both
c) all
d) either

Which of the options given below best completes the following sentence?
She will feel much better if she ________________.

a) will get some rest
b) gets some rest
c) will be getting some rest
d) is getting some rest

Choose the most appropriate pair of words from the options given below to complete the following sentence.
She could not _____ the thought of _________ the election to her bitter rival.

a) bear, loosing
b) bare, loosing
c) bear, losing
d) bare, losing

A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence:
1 → 0.167; 2 → 0.167; 3 → 0.152; 4 →0.166; 5 → 0.168; 6 → 0.180.
We call this die

a) irregular
b) biased
c) Gaussian
d) insufficient

Fill in the missing number in the series.
2   3   6   15 ________   157.5   630

Find the odd one in the following group
Q,W,Z,B     B,H,K,M     W,C,G,J     M,S,V,X

a) Q,W,Z,B
b) B,H,K,M
c) W,C,G,J
d) M,S,V,X

Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow.
Which of the following statements is not necessarily correct?

a) The number of red lights is equal to the number of blue lights.
b) The number of green lights is equal to the number of yellow lights.
c) The sum of the red and green lights is equal to the sum of the yellow and blue lights.
d) The sum of the red and blue lights is equal to the sum of the green and yellow lights.

It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes?

a) 4 times the draining rate
b) 3 times the draining rate
c) 2.5 times the draining rate
d) 2 times the draining rate