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

(a)

0

(b)

1

(c)

m

(d)

n

\(\int \frac{\sin 5 x-\sin x}{\cos 3 x} d x\) is _______.

(a)

−cos 2x + c

(b)

−cos 2x + c

(c)

\(-\frac14\)cos2x + c

(d)

−4cos2x + c

The given demand and supply function are given by D(x) = 20 − 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is ________.

(a)

40

(b)

\(\frac{41}{2}\)

(c)

\(\frac{40}{3}\)

(d)

\(\frac{41}{5}\)

The differential equation of y = mx + c is ______.(m and c are arbitrary constants) 

(a)

\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } \) = 0

(b)

y = x \(\frac { dy }{ dx } \) + c

(c)

xdy + ydx = 0

(d)

ydx − xdy = 0

E ≡ _______.

(a)

1 + Δ

(b)

1 - Δ

(c)

1 + ∇

(d)

1 - ∇

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 Z is a standard normal variate, the proportion of items lying between Z = –0.5 and Z = –3.0 is ________.

(a)

0.4987

(b)

0.1915

(c)

0.3072

(d)

0.3098

A random sample is a sample selected in such a way that every item in the population has an equal chance of being included ______.

(a)

Harper

(b)

Fisher

(c)

Karl Pearson

(d)

Dr. Yates

A time series is a set of data recorded ________.

(a)

Periodically

(b)

Weekly

(c)

successive points of time

(d)

all the above

In a degenerate solution number of allocations is _______.

(a)

equal to m+n–1

(b)

not equal to m+n–1

(c)

less than m+n–1

(d)

greather than m+n–1