Mathematics Mechanical previous year questions with answer

Ques 41 Gate 2014 Set-1

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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

A

1/4

B

1/3

C

1/2

D

2/3

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Ques 42 GATE 2014 Set-1

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The integral is evaluated along the circle x² + y² = 1/4 traversed in counter clockwise direction. The integral is equal to

A

π/4

B

π/2

C

π

D

2π

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Ques 43 GATE 2014 Set-1

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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) = _______

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Ques 44 GATE 2014 Set-1

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In the following table, x is a discrete random variable and p(x) is the probability density. The standard deviation of x is _______

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Ques 45 GATE 2014 Set-1

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Using the trapezoidal rule, the value of the integral on dividing the interval of integration into three equal subintervals, is _______

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