The rank of m x n matrix whose elements are unity is ________.

(a)

0

(b)

1

(c)

m

(d)

n

ഽ2^xdx is _______.

(a)

2^x log 2 + c

(b)

2^x + c

(c)

\(\frac { 2^{ x } }{ log2 } +c\)

(d)

\(\frac { log2 }{ { 2 }^{ x } } +c\)

Area bounded by the curve y = e^−2x between the limits 0 ≤ x ≤ ∞ is ________.

(a)

1 sq.units

(b)

\(\frac{1}{2}\) sq.unit

(c)

5 sq.units

(d)

2 sq.units

The order and degree of the differential equation \(\sqrt { \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } } =\sqrt { \frac { dy }{ dx } +5 } \) are respectively ______.

(a)

2 and 3

(b)

3 and 2

(c)

2 and 1

(d)

2 and 2

Δf(x) = _______.

(a)

f(x+ h)

(b)

f(x) − f(x+h)

(c)

f(x + h) − f(x)

(d)

f (x) − f(x−h)

Demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. Profit per unit is 0.50 paisa then expected profits for three days are ________.

(a)

21, 19, 22

(b)

21.5, 19.5, 22.5

(c)

0.29, 0.40, 0.35

(d)

3.045, 3.8, 3.85

If X ~ N(9,81) the standard normal variate Z will be ________.

(a)

\(Z=\frac { X- 81 }{ 9 } \)

(b)

\(Z=\frac { X-9 }{ 81 } \)

(c)

\(Z=\frac { X-9 }{ 9 } \)

(d)

\(Z=\frac { 9-X }{ 9 } \)

A __________ of statistical individuals in a population is called a sample.

(a)

Infinite set

(b)

finite subset

(c)

finite set

(d)

entire set

A time series consists of ________.

(a)

Five components

(b)

Four components

(c)

Three components

(d)

Two components

In a non – degenerate solution number of allocations is _______.

(a)

Equal to m+n–1

(b)

Equal to m+n+1

(c)

Not equal to m+n–1

(d)

Not equal to m+n+1