12th Standard Business Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Two

12th Standard

Reg.No. :
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Time : 00:10:00 Hrs
Total Marks : 10

Answer all the questions

10 x 1 = 10
1. If A= $\begin{pmatrix} 2 & 0 \\ 0 & 8 \end{pmatrix}$,then $\rho (A)$ is

(a)

0

(b)

1

(c)

2

(d)

n

2. $\frac { sin5x-sinx }{ cos3x }$dx

(a)

−cos2x + c

(b)

−cos2x + c

(c)

$-\frac14$cos2x c

(d)

−4cos2x + c

3. If the marginal revenue function of a firm is MR = ${ e }^{ \frac { -x }{ 10 } }$, then revenue is

(a)

$-10{ e }^{ \frac { -x }{ 10 } }$

(b)

$1-{ e }^{ \frac { -x }{ 10 } }$

(c)

$10\left( 1-{ e }^{ \frac { -x }{ 10 } } \right)$

(d)

${ e }^{ \frac { -x }{ 10 } }+10$

4. The differential equation ${ \left( \frac { dx }{ dy } \right) }^{ 3 }+2{ y }^{ \frac { 1 }{ 2 } }$ = x is

(a)

of order 2 and degree 1

(b)

of order 1 and degree 3

(c)

of order 1 and degree 6

(d)

of order 1 and degree 2

5. If h = 1, then Δ(x2) =

(a)

2x

(b)

2x −1

(c)

2x +1

(d)

1

6. Given E(X) = 5 and E(Y) = -2, then E(X – Y) is

(a)

3

(b)

5

(c)

7

7. If X ~N(μ, σ2), the maximum probability at the point of inflexion of normal distribution is

(a)

${ \left( \frac { 1 }{ \sqrt { 2\pi } } \right) }^{ { e }^{ \frac { 1 }{ 2 } } }$

(b)

${ \left( \frac { 1 }{ \sqrt { 2\pi } } \right) }^{ { e }^{ \left( -\frac { 1 }{ 2 } \right) } }$

(c)

${ \left( \frac { 1 }{ \sigma \sqrt { 2\pi } } \right) }^{ { e }^{ \left( \frac { 1 }{ 2 } \right) } }$

(d)

${ \left( \frac { 1 }{ \sqrt { 2\pi } } \right) }$

8. Any statistical measure computed from sample data is known as ____________

(a)

parameter

(b)

statistic

(c)

infinite measure

(d)

uncountable

9. Factors responsible for seasonal variations are

(a)

Weather

(b)

Festivals

(c)

Social customs

(d)

All the above

10. The Penalty in VAM represents difference between the first ________

(a)

Two largest costs

(b)

Largest and Smallest costs

(c)

Smallest two costs

(d)

None of these