# Gate Mathematics 2017

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maths preparation for GATE 2017 for all branches

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Any group for cil ece?

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Two dices are rolled simultaneously. The probability that the sum of digits on the

top surface of the two dices is even, is

0.5
0.25
0.167
0.125

The minimum value of function y = x^2 in the interval [1, 5] is

0
1
25
undefined

The minimum point of the function f(x) = (x^2/3) – x is at

x = 1
x = -1
x=0
x =1/root 3

The fundamental period of x(t) = 2 sin πt + 3 sin 3πt, with t expressed in seconds, is

1s
2s
0.67s
3s

What is the derivative of f(x) = |x| at x = 0?

1
-1
0
does not exist

The function f(x) = |x+1| on the interval [-2, 0] is

Continuous and differentiable
Continuous on the integral but not differentiable at all points
Neither continuous nor differentiable
Differentiable but not continuous

The rank of a 3×3 matrix C (=AB), found by multiplying a non-zero column matrix A

of size 3×1 and a non-zero row matrix B of size 1×3, is

0
1
2
3