If A =\(\left( \begin{matrix} 1 \\ 2 \\ 3 \end{matrix} \right) \) then the rank of AA^T is ________.

(a)

0

(b)

1

(c)

2

(d)

3

If \(\left| \begin{matrix} 2x & 5 \\ 8 & x \end{matrix} \right| =\left| \begin{matrix} 6 & -2 \\ 7 & 3 \end{matrix} \right| \) then x =

(a)

3

(b)

± 3

(c)

± 6

(d)

6

\(\Gamma (1)\) is _______.

(a)

0

(b)

1

(c)

n

(d)

n!

If ∫ x sin x dx = - x cos x + α then α = __________ +c

(a)

sin x

(b)

cos x

(c)

C

(d)

none of these

The particular integral of the differential equation \(\frac { d^{ 2 }y }{ { dx }^{ 2 } } -5\frac { dy }{ dx } \)+6y=e^5x is _______

(a)

\(\frac { e^{ 5x } }{ 6 } \)

(b)

\(\frac { xe^{ 5x } }{ 21 } \)

(c)

6e^5x

(d)

\(\frac { { e }^{ 5x } }{ 25 } \)

E [c.f(x)] = ___________ where c is a constant

(a)

E (f(c)

(b)

c. Ef(x)

(c)

E\(\left( \frac { f}{c } \right) \)

(d)

E(-fc)

If y is to be estimated for the value of x between two extreme points in a set of values, it is called ___________

(a)

Interpolation

(b)

extrapolation

(c)

Forward interpolation

(d)

backward interpolation

If c is a constant, then E(c) is ________.

(a)

0

(b)

1

(c)

c f (c)

(d)

c

Most commonly used index numbers are _________ index number

(a)

diffusion

(b)

price

(c)

value

(d)

none of these

A type of decision –making environment is _______.

(a)

certainty

(b)

uncertainty

(c)

risk

(d)

all of the above