Electronics and Communication Gate 2014 Set-1 Questions with Answer

Ques 40 GATE 2014 SET-1

Consider the matrix J₆

Ques 41 GATE 2014 SET-1

Let X be a real-valued random variable with E[X] and E[X²] denoting the mean values of X and X², respectively. The relation which always holds true is

Ques 42 GATE 2014 SET-1

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.

Ques 43 GATE 2014 SET-1

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

Ques 44 GATE 2014 SET-1

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.

Ques 45 GATE 2014 SET-1

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four?
Batsman K: Average 31.2, Standard deviation 5.21
Batsman L: Average 46.0, Standard deviation 6.35
Batsman M: Average 54.4, Standard deviation 6.22
Batsman N: Average 17.9, Standard deviation 5.90

Ques 46 GATE 2014 SET-1

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

Ques 47 GATE 2014 SET-1

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

Ques 48 GATE 2014 SET-1

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

Ques 49 GATE 2014 SET-1

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?

Ques 50 GATE 2014 SET-1

The exports and imports (in crores of Rs.) of a country from 2000 to 2007 are given in the bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit 1/5th of the exports?

Ques 51 GATE 2014 SET-1

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

Ques 52 GATE 2014 SET-1

For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z₁ of the first section to the input impedance Z₂ of the second section is