The rank of the unit matrix of order n is ________.

(a)

n −1

(b)

n

(c)

n +1

(d)

n²

ഽ\(\frac { { 2x }^{ 3 } }{ 4+{ x }^{ 4 } } \)dx is _______.

(a)

\(log\left| 4+{ x }^{ 4 } \right| +c\)

(b)

\(\frac { 1 }{ 2 } log\left| 4+{ x }^{ 4 } \right| +c\)

(c)

\(\frac { 1 }{4 } log\left| 4+{ x }^{ 4 } \right| +c\)

(d)

\(log\left| \frac { { 2x }^{ 3 } }{ { 4+x }^{ 4 } } \right| +c\)

∫ (1-x) \(\sqrt { x } \) dx = ______________+c 

(a)

\(\frac { 2 }{ 3 } { x }^{ \frac { 3 }{ 2 } }-\frac { 5 }{ 2 } \)

(b)

\({ x }^{ \frac { 3 }{ 2 } }-\frac { 2 }{ 5 } { x }^{ \frac { 5 }{ 2 } }\)

(c)

\(\frac { 3 }{ 2 } { x }^{ \frac { 2 }{ 3 } }-\frac { 5 }{ 2 } { x }^{ \frac { 2 }{ 5 } }\)

(d)

\(\frac { 2 }{ 3 } { x }^{ \frac { 3 }{ 2 } }-\frac { 2 }{ 5 } { x }^{ \frac { 5 }{ 2 } }\)

The demand and supply functions are given by D(x)= 16 − x² and S(x) = 2x² + 4 are under perfect competition, then the equilibrium price x is ________.

(a)

2

(b)

3

(c)

4

(d)

5

The area of the region bounded by y = x + 1, the X-axis and the lines x = 0, x = 1 is___________.

(a)

\(\frac{1}{2}\)

(b)

2

(c)

\(\frac{3}{2}\)

(d)

1

If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to ________.

(a)

\(\sum { f(x) } \)

(b)

\(\sum[x+f(x)]\)

(c)

\(\sum { f(x)+x } \)

(d)

\(\sum { xp(x) } \)

The parameters of the normal distribution \(f(x)=\left(\frac{1}{\sqrt{72 \pi}}\right)\)\(\frac{e^{-(x-10)^{2}}}{72}\) –∞ <  x  <  ∞ ________.

(a)

(10,6)

(b)

(10,36)

(c)

(6,10)

(d)

(36,10)

In simple random sampling from a population of N units, the probability of drawing any unit at the first draw is  ______.

(a)

\(\frac{n}{N}\)

(b)

\(\frac{1}{N}\)

(c)

\(\frac{N}{n}\)

(d)

1

Another name of consumer’s price index number is: ________.

(a)

Whole-sale price index number

(b)

Cost of living index

(c)

Sensitive

(d)

Composite

North-West Corner refers to ________.

(a)

top left corner

(b)

top right corner

(c)

bottom right corner

(d)

bottom left corner