The rank of an n x n matrix each of whose elements is 2 is __________

(a)

1

(b)

2

(c)

n

(d)

n²

If \(\int { \frac { { 2 }^{ \frac { 1 }{ x } } }{ { x }^{ 2 } } } dx=k{ 2 }^{ \frac { 1 }{ x } }\) +c, then k is ___________

(a)

\(-\frac { 1 }{ { log }_{ e }2 } \)

(b)

- log_e2

(c)

-1

(d)

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

The area of the region bounded by the ellipse __________

(a)

\(\pi\)ab sq.units

(b)

\(\frac{\pi a}{b}\) sq.units

(c)

2\(\pi\)ab sq.unit

(d)

\(\frac{\pi}{2}\) ab sq.units

The differential equation of all circles with centre at the origin is _____________

(a)

xdy +ydx = 0

(b)

xdy - ydx = 0

(c)

xdx + ydy = 0

(d)

xdx - ydy = 0

∇f(x+ 3h) ______________

(a)

f{x + 2h)

(b)

f(x + 3h) - f(x + 2h)

(c)

f(x + 3h)

(d)

f(x + 2h) - f(x - 3h)

A random variable X has the following probability distribution

X	0	1	2	3	4	5
P(X=x)	\(\frac{1}{4}\)	2a	3a	4a	5a	\(\frac{1}{4}\)

Then P(1≤X≤4) is

(a)

\(\frac{10}{21}\)

(b)

\(\frac{2}{7}\)

(c)

\(\frac{1}{14}\)

(d)

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

The standard normal distribution is represented by ___________

(a)

N(0,0)

(b)

N(1,0)

(c)

N(0,1)

(d)

N(1,1)

Probability of rejecting null hypothesis. when it is true is _______

(a)

Type I error

(b)

Type II error

(c)

Sampling error

(d)

Standard error

The causes leading to vast variation in the specification of a product are usually due to _____

(a)

random process

(b)

assignable causes

(c)

non-traceable causes

(d)

all the above

The total transportation cost is ___________

(a)

55

(b)

102

(c)

101

(d)

50