GATE ME 2013 | GATE ME Year Wise Previous Years Questions

GATE ME 2013

MCQ (Single Correct Answer)

-0.3

Let $$X$$ be a normal random variable with mean $$1$$ and variance $$4.$$ The probability $$P\left\{ {X < 0} \right\}$$ is

$$0.5$$

greater than zero and less than $$0.5$$

greater than $$0.5$$ and less than $$1.0$$

$$1.0$$

GATE ME 2013

MCQ (Single Correct Answer)

-0.3

The eigen values of a symmetric matrix are all

complex with non-zero positive imaginary part.

complex with non-zero negative imaginary part.

real

pure imaginary

GATE ME 2013

MCQ (Single Correct Answer)

-0.6

Choose the CORRECT set of functions, which are linearly dependent.

$$\sin x,\,{\sin ^2}x$$ and $${\cos ^2}x$$

$$\cos x,\sin x$$ and $$\tan x$$

$$\cos \,2x,{\sin ^2}x$$ and $${\cos ^2}x$$

$$\cos \,2x,\sin x$$ and $$\cos x$$

GATE ME 2013

MCQ (Single Correct Answer)

-0.3

The value of the definite integral $$\int_1^e {\sqrt x \ln \left( x \right)dx} $$ is

$${4 \over 9}\sqrt {{e^3}} + {2 \over 9}$$

$${2 \over 9}\sqrt {{e^3}} - {4 \over 9}$$

$${2 \over 9}\sqrt {{e^3}} + {4 \over 9}$$

$${4 \over 9}\sqrt {{e^3}} - {2 \over 9}$$

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