Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2014 Set-2 Questions with Answer
Ques 40 GATE 2014 SET-2
If the characteristic equation of the differential equation
d2y/dx2 + 2α dy/dx + y = 0
has two equal roots, then the values of α are
Ques 41 GATE 2014 SET-2
The system of linear equations
has
Ques 42 GATE 2014 SET-2
The real part of an analytic function f(z) where z = x + jy is given by e-ycos(x). The imaginary part of f(z) is
Ques 43 GATE 2014 SET-2
The maximum value of the determinant among all 2 × 2 real symmetric matrices with trace 14 is ________.
Ques 44 GATE 2014 SET-2
If r = xâx + yây + zâz and r = |r|, then div(r2∇(ln r)) = ______.
Ques 45 GATE 2014 SET-2
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.
Ques 46 GATE 2014 SET-2
Which of the options given below best completes the following sentence?
She will feel much better if she ________________.
Ques 47 GATE 2014 SET-2
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.
Ques 48 GATE 2014 SET-2
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
Ques 49 GATE 2014 SET-2
Fill in the missing number in the series.
2 3 6 15 ______ 157.5 630
Ques 50 GATE 2014 SET-2
Find the odd one in the following group
Q,W,Z,B B,H,K,M W,C,G,J M,S,V,X
Ques 51 GATE 2014 SET-2
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?
Ques 52 GATE 2014 SET-2
The sum of eight consecutive odd numbers is 656. The average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number?
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