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

(a)

4

(b)

5

(c)

6

(d)

7

If f (x) is a continuous function and a < c < b, then \(\int_{a}^{c} f(x) d x+\int_{c}^{b} f(x) d x\) is _______.

(a)

\(\int_{a}^{b} f(x) d x-\int_{a}^{c} f(x) d x\)

(b)

\(\int_{a}^{c} f(x) d x-\int_{a}^{b} f(x) d x\)

(c)

\(\int_{a}^{b} f(x) d x\)

(d)

0

The marginal cost function is MC = 100 \(\sqrt x\). find AC given that TC  = 0 when the out put is zero is ________.

(a)

\(\frac { 200 }{ 3 } { x }^{ \frac { 1 }{ 2 } }\)

(b)

\(\frac { 200 }{ 3 } { x }^{ \frac { 3 }{ 2 } }\)

(c)

\(\frac { 200 }{ { 3x }^{ \frac { 3 }{ 2 } } } \)

(d)

\(\frac { 200 }{ { 3x }^{ \frac { 1 }{ 2 } } } \)

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

∇ = ______________

(a)

∇ . ∆

(b)

E^-1 Δ

(c)

E . Δ

(d)

E²Δ

A discrete random variable. X has the probability mass function p(x), then __________ is true.

(a)

0≤P(X)≤1

(b)

P(X)≥0

(c)

P(X)≤1

(d)

0

If the mean is λ and variance is σ² in a Poisson distribution, then

(a)

\(\lambda =\frac { { \sigma }^{ 2 } }{ 2 } \)

(b)

σ²=\(\frac { \lambda }{ 2 } \)

(c)

λ=σ²

(d)

σ²=λ

There are _______ branches of statistical inference.

(a)

1

(b)

2

(c)

3

(d)

4

Choose the odd one out

(a)

Secular trend

(b)

seasonal variation

(c)

Simple averages

(d)

cyclic variations

Operation research is an analytical method of ___________

(a)

problem solving

(b)

decision making

(c)

optimal cost of transportation

(d)

unit cost of transportation