The value of \(\left| \begin{matrix} { 5 }^{ 2 } & { 5 }^{ 3 } & { 5 }^{ 4 } \\ { 5 }^{ 3 } & { 5 }^{ 4 } & { 5^{ 5 } } \\ { 5 }^{ 4 } & { 5 }^{ 5 } & { 5 }^{ 6 } \end{matrix} \right| \)

(a)

5²

(b)

0

(c)

5¹³

(d)

5⁹

\(\int { { \left| x \right| }^{ 3 } } \)dx = ________________ +c

(a)

\(\frac { { -x }^{ 4 } }{ 4 } \)

(b)

\(\frac { { \left| x \right| }^{ 4 } }{ 4 } \)

(c)

\(\frac { { x }^{ 4 } }{ 4 } \)

(d)

none of these

The area unded by the curves y = 2^x, x = 0 and x = 2 is________sq.units.

(a)

log_e2

(b)

3log_e2

(c)

\(\frac{3}{log_e2}\)

(d)

2log_e3

The amount present in a radio active element disintegrates at a rate proportional to its amount. The differential equation corresponding to the above statement is _____________ (k is negative).

(a)

\(\frac { dp }{ dt } =\frac { k }{ p } \)

(b)

\(\frac { dp }{ dt } \)=kt

(c)

\(\frac { dp }{ dt } \)=kp

(d)

\(\frac { dp }{ dt } \)=-kt

∆f(x + 3h) ______________

(a)

f(x + 3h) - f(x + 4h)

(b)

f(x + 4h) - f(x + 3h)

(c)

f(x + h) - f(x)

(d)

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

A random variable X has the following probability mass function

X	-2	3	1
P(X=x)	\(\frac{\lambda}{6}\)	\(\frac{\lambda}{4}\)	\(\frac{\lambda}{12}\)

Then λ is

(a)

1

(b)

2

(c)

3

(d)

4

In 8 throws of a die, 1 or 3 is considered a success. Then the mean number of successes is ___________

(a)

\(\frac{8}{3}\)

(b)

\(\frac{4}{3}\)

(c)

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

(d)

\(\frac{5}{3}\)

The number of ways in which one can select 2 customers out of 10 customers is __________

(a)

90

(b)

60

(c)

45

(d)

50

Most frequently used index number formulae are_____

(a)

weighted

(b)

unweighted

(c)

fixed weighted

(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