\(\int { \frac { { x }^{ 5 }-{ x }^{ 4 } }{ { x }^{ 3 }-{ x }^{ 2 } } } \)dx = __________ +c

(a)

1

(b)

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

(c)

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

(d)

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

If MR = 15 - 8x, then the revenue function is _________

(a)

15x - 4x² + k

(b)

\(\frac{15}{x}-8\)

(c)

-8

(d)

15x - 8

The degree and order of \(\frac { { d }^{ 2 }y }{ dx^{ 2 } } -6\sqrt { \frac { dy }{ dx } } \)= 0 are _____________

(a)

2,1

(b)

1,2

(c)

2,2

(d)

1,1

E [c.f(x)] = ___________ where c is a constant

(a)

E (f(c)

(b)

c. Ef(x)

(c)

E\(\left( \frac { f}{c } \right) \)

(d)

E(-fc)

If \(f(x)=\left\{\begin{array}{cc} \frac{A}{x}, & 1<x<e^{3} \\ 0, & \text { otherwise } \end{array}\right.\) is a p.d.f. of a continuous random variable. X then P(X≥e)

(a)

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

(b)

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

(c)

\(\frac{1}{6}\)

(d)

\(\frac{1}{8}\)

If the mean of the binomial distribution is 25, then its standard deviation lies in the interval ___________

(a)

[0,5)

(b)

(0,5]

(c)

[0,25]

(d)

(0,25]

Out of 1000 T.V viewers, 320 watched a particular programme. Then the standard error is __________

(a)

-0.147

(b)

0.147

(c)

0.0147

(d)

-0.0147

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

______ method provides optimum assignment schedule in an assignment problem.

(a)

North West Corner

(b)

Least cost

(c)

Vogel's Approximation Method

(d)

Hungarian Method

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