Mechanical Engineering Gate 2014 Set-1 Questions

Choose the most appropriate phrase from the options given below to complete the following sentence.
The aircraft take off as soon as its flight plan was filed.

a) Is allowed to
b) will be allowed to
c) was allowed to
d) has been allowed to

Read the statements:

All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements?

a) All women are doctors
b) All doctors are entrepreneurs
c) All entrepreneurs are women
d) Some entrepreneurs are doctors

Choose the most appropriate word from the options given below to complete the following sentence.
Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped _________ such notions.

a) impel
b) dispel
c) propel
d) repel

What is the next number in the series?
12 35 81 173 357 ____

Find the odd one from the following group:
W,E,K,O       I,Q,W,A       F,N,T,X       N,V,B,D

a) W,E,K,O
b) I,Q,W,A
c) F,N,T,X
d) N,V,B,D

For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form T is

a) a resident male with annual income Rs 9 lakh
b) a resident female with annual income Rs 9 lakh
c) a non-resident male with annual income Rs 16 lakh
d) a non-resident female with annual income Rs 16 lakh

A train that is 280 metres long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the platform in metres?

You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is

a) 1/4
b) 1/3
c) 1/2
d) 2/3

A circular rod of length ‘L’ and area of cross-section ‘A’ has a modulus of elasticity ‘E’ and coefficient of thermal expansion ‘α’. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ∆T, then

a) stress developed in the rod is E α ∆T and strain developed in the rod is α ∆T
b) both stress and strain developed in the rod are zero
c) stress developed in the rod is zero and strain developed in the rod is α ∆T
d) stress developed in the rod is E α ∆T and strain developed in the rod is zero

A metallic rod of 500 mm length and 50 mm diameter when subjected to a tensile force of 100 kN at the ends, experiences an increase in its length by 0.5 mm and a reduction in its diameter by 0.015 mm. The Poisson's ratio of the rod material is

a) a
b) a
c) a
d) a