Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2014 Set-1 Questions with Answer
Ques 40 GATE 2014 Set-1
The argument of the complex number
where i=√-1, is
Ques 41 GATE 2014 Set-1
The matrix form of the linear system dx/dt=3x-5y and dy/dt=4x+8y is
Ques 42 GATE 2014 Set-1
The question asks to describe the relationship among the three given vectors:
?
Ques 43 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 44 GATE 2014 Set-1
The integral 
is evaluated along the circle x2 + y2 = 1/4 traversed in counter clockwise direction. The integral is equal to
Ques 45 GATE 2014 Set-1
If y = f(x) is the solution of d2y/dx2 = 0 with the boundary conditions y = 5 at x = 0, and dy/dx = 2 at x = 10, f(15) = _______
Ques 46 GATE 2014 Set-1
In the following table, x is a discrete random variable and p(x) is the probability density. The standard deviation of x is _______
Ques 47 GATE 2014 Set-1
Using the trapezoidal rule, the value of the integral
on dividing the interval of integration into three equal subintervals, is _______
Ques 48 GATE 2014 Set-1
Which one of the following instruments is widely used to check and calibrate geometric features of machine tools during their assembly?
Ques 49 GATE 2014 Set-1
For the given assembly: 25 H7/g8, match Group A with Group B
Ques 50 GATE 2014 Set-1
Which one of the following is a CFC refrigerant?
Ques 51 GATE 2014 Set-1
The state of stress at a point is given by σx = -6 MPa, σy = 4 MPa, and τxy = -8 MPa. The maximum tensile stress (in MPa) at the point is _______
Ques 52 GATE 2014 Set-1
A 200 mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by 250°C. If the Young’s modulus and coefficient of thermal expansion are 200 GPa and 1×10-5 /°C, respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _______
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