Mechanical Engineering Gate Yearwise
Mechanical Engineering GATE 2015 Set-2 Questions with Answer
Ques 1 Engineering Mathematics
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 Engineering Mathematics
The surface integral ∫∫S (1/π)(9xi - 3yj)•n dS over the sphere given by x2 + y2 + z2 = 9 is ________.
216 is the correct answer.
Ques 3 Engineering Mathematics
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 Engineering Mathematics
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 |
22 is the correct answer.
Ques 5 Engineering Mathematics
At least one eigenvalue of a singular matrix is
Ques 6 Engineering Mathematics
At x = 0, the function f(x) = |x| has
Ques 7 Engineering Mathematics
Curl of vector V(x,y,z) = 2x2i + 3z2j + y3k at x=y=z=1 is
Ques 8 Engineering Mathematics
The Laplace transform of ei5t where i = √-1, is
Ques 9 Engineering Mathematics
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 ________.
0.97 is the correct answer.
Ques 10 Engineering Mechanics
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 ________.
29.63 is the correct answer.
Ques 11 Engineering Mechanics
For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is
Ques 12 Engineering Mechanics
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 ________.
8 is the correct answer.
Ques 13 Fluid Mechanics
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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