Cramer’s rule is applicable only to get an unique solution when _______.

(a)

\({ \triangle }_{ z }\neq 0\)

(b)

\({ \triangle }_{ x }\neq 0\)

(c)

\({ \triangle } \neq 0\)

(d)

\({ \triangle }_{ y }\neq 0\)

\(\Gamma (n)\) is _______.

(a)

(n −1)!

(b)

n!

(c)

\(n\Gamma (n)\)

(d)

(n −1)\(\Gamma \)(n)

If the marginal revenue of a firm is constant, then the demand function is ________.

(a)

MR

(b)

MC

(c)

C(x)

(d)

AC

If cos x is an I.F. of \(\frac { dy }{ dx } \)+Py=Q then P is ______

(a)

-cot x

(b)

cot x

(c)

tan x

(d)

-tan x

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.

E^-nf(x) is ______________

(a)

F(x + nh)

(b)

F(x - nh)

(c)

F(-nh)

(d)

f(x - n)

E[X-E(X)]² is ________.

(a)

E(X)

(b)

E(X²)

(c)

V(X)

(d)

S.D(X)

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)

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

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

Variation due to assignable causes in the product occur due to, _____

(a)

faulty process

(b)

carelessness of operators

(c)

poor quality of raw material

(d)

all the above.