\(\int _{ 1 }^{ e }{ log } x\) dx = __________ +c

(a)

1

(b)

e-1

(c)

e+1

(d)

0

If the marginal cost function MC = 2 - 4x, then the cost function is _________

(a)

2x- 2X²+ k

(b)

2-4x²

(c)

\(\frac{2}{x}-4\)

(d)

2x-4x²

The degree of the differential equation \(\sqrt { 1+\left( \frac { { d }y }{ dx } \right) ^{ \frac { 1 }{ 3 } } } =\frac { { d }^{ 2 }y }{ dx^{ 2 } } \) is _____________

(a)

1

(b)

2

(c)

3

(d)

6

The P.I. of the differential equation f(D)y = e^ax where f(D) = (D-a) g(D), g(a) ≠0 is _____

(a)

me^ax

(b)

\(\frac { { e }^{ ax } }{ g(a) } \)

(c)

g(a)e^ax

(d)

\(\frac { xe^{ ax } }{ g(a) } \)

If c is a constant, then Δc = ______________

(a)

c.∆

(b)

c.∇

(c)

0

(d)

1

If E(X)  = \(\frac{1}{2}, E(X^2)=\frac{1}{4}\), then V(X) is ________

(a)

0

(b)

\(\frac{1}{4}\)

(c)

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

(d)

1

The probability that a normal variate X lies in the interval (μ-σ, μ+σ) is ___________

(a)

0.0027

(b)

0.9973

(c)

0.6826

(d)

0.9544

The mean I.Q. of a sample of 1600 children was 99. It is likely that this was a r.sample from a population with mean I.Q. 100 and S.D 15² Then the value of Z is __________

(a)

-2.667

(b)

2.667

(c)

1.96

(d)

2.58

In a line of best fit y = 5.8 (x - 1994) + 41.6, the value of y when x = 1997 is _____

(a)

50

(b)

54

(c)

59

(d)

60

______ method provides optimum assignment schedule in an assignment problem.

(a)

North West Corner

(b)

Least cost

(c)

Vogel's Approximation Method

(d)

Hungarian Method