If A = \(\begin{pmatrix} 2 & 0 \\ 0 & 8 \end{pmatrix}\),then \(\rho (A)\) is ________.

(a)

0

(b)

1

(c)

2

(d)

n

\(\int \frac{\sin 5 x-\sin x}{\cos 3 x} d x\) is _______.

(a)

−cos 2x + c

(b)

−cos 2x + c

(c)

\(-\frac14\)cos2x + c

(d)

−4cos2x + c

If the marginal revenue function of a firm is MR = \({ e }^{ \frac { -x }{ 10 } }\), then revenue is ________.

(a)

\(-10{ e }^{ \frac { -x }{ 10 } }\)

(b)

\(1-{ e }^{ \frac { -x }{ 10 } }\)

(c)

\(10\left( 1-{ e }^{ \frac { -x }{ 10 } } \right) \)

(d)

\({ e }^{ \frac { -x }{ 10 } }+10\)

The differential equation \({ \left( \frac { dx }{ dy } \right) }^{ 3 }+2{ y }^{ \frac { 1 }{ 2 } }\) = x is ______.

(a)

of order 2 and degree 1

(b)

of order 1 and degree 3

(c)

of order 1 and degree 6

(d)

of order 1 and degree 2

If h = 1, then Δ(x²) = _______.

(a)

2x

(b)

2x −1

(c)

2x +1

(d)

1

Given E(X)=5 and E(Y)=−2, then E(X−Y) is ________.

(a)

3

(b)

5

(c)

7

(d)

-2

If X ~ N(μ, σ²), the maximum probability at the point of inflexion of normal distribution is ________.

(a)

\({ \left( \frac { 1 }{ \sqrt { 2\pi } } \right) }^{ { e }^{ \frac { 1 }{ 2 } } }\)

(b)

\({ \left( \frac { 1 }{ \sqrt { 2\pi } } \right) }^{ { e }^{ \left( -\frac { 1 }{ 2 } \right) } }\)

(c)

\({ \left( \frac { 1 }{ \sigma \sqrt { 2\pi } } \right) }^{ { e }^{ \left( \frac { 1 }{ 2 } \right) } }\)

(d)

\({ \left( \frac { 1 }{ \sqrt { 2\pi } } \right) }\)

Any statistical measure computed from sample data is known as _________.

(a)

parameter

(b)

statistic

(c)

infinite measure

(d)

uncountable measure

Factors responsible for seasonal variations are ________.

(a)

Weather

(b)

Festivals

(c)

Social customs

(d)

All the above

The Penalty in VAM represents difference between the first ________.

(a)

Two largest costs

(b)

Largest and Smallest costs

(c)

Smallest two costs

(d)

None of these