\(\left| { A }_{ n\times n } \right| \) = 3 \(\left| adjA \right| \) = 243 then the value n is _______.

(a)

4

(b)

5

(c)

6

(d)

7

\(\Gamma \left( \frac { 3 }{ 2 } \right) \) _______.

(a)

\(\sqrt { \pi } \)

(b)

\(\frac { \sqrt { \pi } }{ 2 } \)

(c)

\(2\sqrt { \pi } \)

(d)

\(\frac32\)

The area bounded by the parabola y² = 4x bounded by its latus rectum is ________.

(a)

\(\frac { 16 }{ 3 } \) sq.units

(b)

\(\frac { 8 }{ 3 } \) sq.units

(c)

\(\frac { 72 }{ 3 } \) sq.units

(d)

\(\frac { 1 }{ 3 } \) sq.units

Which of the following is the homogeneous differential equation?

(a)

(3x−5)dx = (4y−1)dy

(b)

xy dx−(x³+y³)dy = 0

(c)

y²dx+(x² − xy  − y²)dy = 0

(d)

(x²+y)dx = (y²+x)dy

If f (x)=x²  + 2x + 2 and the interval of differencing is unity then Δf (x) _______.

(a)

2x −3

(b)

2x +3

(c)

x + 3

(d)

x − 3

The height of persons in a country is a random variable of the type ________.

(a)

discrete random variable

(b)

continuous random variable

(c)

both (a) and (b)

(d)

neither (a) nor (b)

If P(Z > z) = 0.5832 what is the value of z (z has a standard normal distribution)?

(a)

-0.48

(b)

0.48

(c)

1.04

(d)

-0.21

Type II error is  ______.

(a)

Accept H₀ when it is wrong

(b)

Accept H₀ when it is true

(c)

Reject H₀ when it is true

(d)

Reject H₀ when it is false

Most commonly used index numbers are _________ index number

(a)

diffusion

(b)

price

(c)

value

(d)

none of these

Decision theory is concerned with _______.

(a)

analysis of information that is available

(b)

decision making under certainty

(c)

selecting optimal decisions in sequential problem

(d)

All of the above