Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2015 Set-2 Questions with Answer
Ques 1 GATE 2015 SET-2
The chance of a student passing an exam is 20%. The chance of a student passing the exam and getting above 90% marks in it is 5%. GIVEN that a student passes the examination, the probability that the student gets above 90% marks is
Ques 2 GATE 2015 SET-2
The surface integral ∫∫S (1/π)(9xi - 3yj)•n dS over the sphere given by x2 + y2 + z2 = 9 is ________.
Ques 3 GATE 2015 SET-2
Consider the following differential equation:
dy/dt = -5y; initial condition: y=2 at t=0
The value of y at t=3 is
Ques 4 GATE 2015 SET-2
The values of function f(x) at 5 discrete points are given below:
| x | 0 | 0.1 | 0.2 | 0.3 | 0.4 |
| f(x) | 0 | 10 | 40 | 90 | 160 |
Ques 5 GATE 2015 SET-2
At least one eigenvalue of a singular matrix is
Ques 6 GATE 2015 SET-2
At x = 0, the function f(x) = |x| has
Ques 7 GATE 2015 SET-2
Curl of vector V(x,y,z) = 2x2i + 3z2j + y3k at x=y=z=1 is
Ques 8 GATE 2015 SET-2
The Laplace transform of ei5t where i = √-1, is
Ques 9 GATE 2015 SET-2
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ________.
Ques 10 GATE 2015 SET-2
The initial velocity of an object is 40 m/s. The acceleration a of the object is given by the following expression: a = -0.1v, where v is the instantaneous velocity of the object. The velocity of the object after 3 seconds will be ________.
Ques 11 GATE 2015 SET-2
For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is
Ques 12 GATE 2015 SET-2
A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be ________.
Ques 13 GATE 2015 SET-2
The head loss for a laminar incompressible flow through a horizontal circular pipe is h1. Pipe length and fluid remaining the same, if the average flow velocity doubles and the pipe diameter reduces to half its previous value, the head loss is h2. The ratio h2/h1 is
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