The inverse matrix of \(\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}\) is ________.

(a)

\({{7}\over{30}}\begin{pmatrix} \frac { 1 }{ 2 } & \frac { 5 }{ 12 } \\ \frac { 2 }{ 5 } & \frac { 4 }{ 5 } \end{pmatrix}\)

(b)

\({{7}\over{30}}\begin{pmatrix} \frac { 1 }{ 2 } & \frac { -5 }{ 12 } \\ \frac { -2 }{ 5 } & \frac { 1 }{ 5 } \end{pmatrix}\)

(c)

\({{30}\over{7}}\begin{pmatrix} \frac { 1 }{ 2 } & \frac { 5 }{ 12 } \\ \frac { 2 }{ 5 } & \frac { 4 }{ 5 } \end{pmatrix}\)

(d)

\({{30}\over{7}}\begin{pmatrix} \frac { 1 }{ 2 } & \frac { -5 }{ 12 } \\ \frac { -2 }{ 5 } & \frac { 4 }{ 5 } \end{pmatrix}\)

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is _________.

(a)

18

(b)

12

(c)

9

(d)

6

The equation of the circle with centre (3,-4) and touches the x - axis is _______.

(a)

(x - 3)² +(y - 4)² = 4

(b)

(x - 3)² +(y + 4)² = 16

(c)

(x-3)² + (y- 4)² = 16

(d)

x²+y² = 16

The value of \(\frac{3 \tan 10^{\circ}-\tan ^3 10^{\circ}}{1-3 \tan ^2 10^{\circ}}\) is _______,

(a)

\(\frac{1}{\sqrt3}\)

(b)

\(\frac{1}{2}\)

(c)

\(\frac{\sqrt3}2\)

(d)

\(\frac{1}{\sqrt2}\)

\(\frac{d}{dx}(\frac{1}{x})\) is equal to ________.

(a)

\(-\frac{1}{x^2}\)

(b)

\(-\frac{1}{x}\)

(c)

log x

(d)

\(\frac{1}{x^2}\)

Purchasing price of one share of face value 100 available at a discount of \(9\frac{1}{2}\%\) with brokerage \(\frac{1}{2}\%\) is ________.

(a)

Rs. 89

(b)

Rs. 90

(c)

Rs. 91

(d)

Rs. 95

The mean of the values 11,12,13,14 and 15 is _________.

(a)

15

(b)

11

(c)

12.5

(d)

13

The correlation coefficient is ________.

(a)

r(X, Y) = \(\frac { { \sigma }_{ x }{ \sigma }_{ y } }{ cov(x,y) } \)

(b)

r(X, Y) = \(\frac { cov(x,y) }{ { \sigma }_{ x }{ \sigma }_{ y } } \)

(c)

r(X, Y) = \(\frac { cov(x,y) }{ { \sigma }_{ y } } \)

(d)

r(X, Y) = \(\frac { cov(x,y) }{ { \sigma }_{ x } } \)

If r = –1, then correlation between the variables ________.

(a)

perfect positive

(b)

perfect negative

(c)

negative

(d)

no correlation

In critical path analysis, the word CPM mean ______.

(a)

Critical path method

(b)

Crash project management

(c)

Critical project management

(d)

Critical path management