If \(\left| A \right| \neq 0,\) then A is _______.

(a)

non-singular matrix

(b)

singular matrix

(c)

zero matrix

(d)

none of these

If n > 0, then \(\Gamma \)(n) is _______.

(a)

\(\int _{ 0 }^{ 1 }{ { e }^{ -x }x^{ n-1 } } \) dx

(b)

\(\int _{ 0 }^{ 1 }{ { e }^{ -x }{ x }^{ n } } dx\)

(c)

\(\int _{ 0 }^{ \infty }{ { e }^{ x }{ x }^{ -n } } \ dx\) 

(d)

\(\int _{ 0 }^{ \infty }{ { e }^{ -x }{ x }^{ n-1 } } \ dx\)

Area bounded by y = e^x between the limits 0 to 1 is ________.

(a)

( e −1) sq.units

(b)

( e +1) sq.units

(c)

\(\left( 1-\frac { 1 }{ e } \right) \)sq.units

(d)

\(\left( 1+\frac { 1 }{ e } \right) \)sq.units

A homogeneous differential equation of the form  \(\frac { dx }{ dy } \) = f\(\left( \frac { y }{ x } \right) \) can be solved by making substitution,______.

(a)

x = v y

(b)

y = v x

(c)

y = v

(d)

x = v

Lagrange’s interpolation formula can be used for _______.

(a)

equal intervals only

(b)

unequal intervals only

(c)

both equal and unequal intervals

(d)

none of these.

A discrete probability function p(x) is always non-negative and always lies between ________.

(a)

0 and \(\infty \)

(b)

0 and 1

(c)

–1 and +1

(d)

–∞ and +∞

If X is a discrete random variable., then which of the following is correct?

(a)

0≤F(x)≤1

(b)

F(-∞)=0,F(∞)≤1

(c)

P(X=X_n)=F(X_n)-F(X_n-1)

(d)

F(x) is a constant function

A die is thrown 10 times. Getting a number greater than 3 is considered a success. The S.D of the number of successes is

(a)

2.5

(b)

1.58

(c)

5

(d)

25

Fine data relating to x and yare to be fit in a straight line. It is found that Σx = 0 and Σy = 15. Then the y- intercept of the line is_____

(a)

1

(b)

2

(c)

3

(d)

42

The least cost method is more economical than North West Corner Rule, since it starts with the ___________

(a)

least cost

(b)

minimum cost

(c)

maximum cost

(d)

lower beginning cost