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

If y = k.e^λx then its differential equation where k is arbitrary constant is _____________

(a)

\(\frac { dy }{ dx } \)= λy

(b)

\(\frac { dy }{ dx } \)= ky

(c)

\(\frac { dy }{ dx } \)+ky = 0

(d)

\(\frac { dy }{ dx } \)= e^λx

∇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)

X is a discrete random variable. Which take values 0,1,2 and P(X = 0) = \(\frac{144}{169}\), P(X = 1) = \(\frac{1}{169}\), then the value of P(X = 2) is ________

(a)

\(\frac{145}{169}\)

(b)

\(\frac{24}{169}\)

(c)

\(\frac{2}{169}\)

(d)

\(\frac{143}{169}\)

In a poison distribution, mean is 16, then standard deviation is ___________

(a)

4

(b)

128

(c)

256

(d)

20

Which of the following statements is true?

(a)

point estimate gives a range of value

(b)

sampling is done only to estimate a statistic

(c)

sampling is done to estimate the population parameter

(d)

sampling is not possible for an infinite population

Chance variation in the manufactured product is __________

(a)

controllable

(b)

not controllable

(c)

both (a) and (b)

(d)

none of these

In least cost method if the minimum cost is not unique then the choice can be made as ___________

(a)

arbitrarily

(b)

unique

(c)

difference

(d)

summation