If A, B are two n x n non-singular matrices, then ___________

(a)

AB is non-singular

(b)

AB is singular

(c)

(AB)^-1 = A^-1 B^-1

(d)

(AB)^-1 does not exit

If \(\int { \frac { 1 }{ \left( x+2 \right) \left( { x }^{ 2 }+1 \right) } } \) dx = a log \(\left| 1+{ x }^{ 2 } \right| \) +b tan^-1 x + \(\frac { 1 }{ 5 } log\left| x+2 \right| \) +c then ___________

(a)

\(a=-\frac { 1 }{ 10 } ,b=\frac { -2 }{ 5 } \)

(b)

\(a=\frac { 1 }{ 10 } ,b=\frac { -2 }{ 5 } \)

(c)

\(a=-\frac { 1 }{ 10 } ,b=\frac { 2 }{ 5 } \)

(d)

\(a=\frac { 1 }{ 10 } ,b=\frac { 2 }{ 5 } \)

The Consumer's surplus for the demand function P =f(x) for the quantity X_o and price P_o is_________

(a)

\(\int _{ 0 }^{ x0 }{ f(x)dx-{ p }_{ 0 }{ x }_{ 0 } } \)

(b)

\(\int _{ 0 }^{ x0 }{ f(x)dx } \)

(c)

p₀x₀-\(\int _{ 0 }^{ x0 }{ g(x)dx } \)

(d)

\(\int _{ 0 }^{ p0 }{ f(x)dx } \)

The integrating factor of \(\frac { dy }{ dx } +\frac { 2y }{ x } \)= x³ is _____________

(a)

2 log x

(b)

\({ e }^{ { x }^{ 2 } }\)

(c)

3log(x²)

(d)

x²

Δ is ____________

(a)

Commutative

(b)

distributive

(c)

closure

(d)

associative

The following table is the probability distribution of random variable X.

X	1	2	3	4	5	6
P(X)	0.1	2k	k	0.2	3k	0.1

The value of k is _______.

(a)

0.2

(b)

0.1

(c)

0.3

(d)

0.4

For a standard normal distribution, the mean and variance are _________

(a)

μ,σ²

(b)

μ,σ

(c)

0,1

(d)

1,1

If α is the level of significance. then the confidence Co-efficient is

(a)

α

(b)

1

(c)

1-α

(d)

1+α

Seasonal variations are __________

(a)

Selling of umbrellas in rainy season

(b)

cool drinks in summer season

(c)

Prices of electronic gadgets

(d)

Sugarcane in Pongal

The methods of funding feasible solution to a transportation problem ___________

(a)

North West Corner Rule

(b)

Least Cost Method

(c)

Hungarian Method

(d)

Vogel's Approximation Method