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#### 12th Standard Business Maths English Medium Free Online Test Book Back One Mark Questions - Part Three

12th Standard EM

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

10 x 1 = 10
1. Rank of a null matrix is

(a)

0

(b)

-1

(c)

$\infty$

(d)

1

2. $\int _{ 0 }^{ \infty }{ { x }^{ 4 }{ e }^{ -x } }$dx is

(a)

12

(b)

4

(c)

4!

(d)

64

3. Area bounded by y = $\left| x \right|$ between the limits 0 and 2 is

(a)

1sq.units

(b)

3 sq.units

(c)

2 sq.units

(d)

4 sq.units

4. The solution of the differential equation $\frac { dy }{ dx } =\frac { y }{ x } +\frac { f\left( \frac { y }{ x } \right) }{ f'\left( \frac { y }{ x } \right) }$ is

(a)

$f\left( \frac { y }{ x } \right) =k.x$

(b)

$xf\left( \frac { y }{ x } \right) =k$

(c)

$f\left( \frac { y }{ x } \right) =ky$

(d)

$yf\left( \frac { y }{ x } \right) =k$

5. For the given data find the value of Δ3y0 is

 x 5 6 9 11 y 12 13 15 18
(a)

1

(b)

0

(c)

2

(d)

-1

6. The distribution function F(x) is equal to

(a)

P(X-x)

(b)

P(X$\le$x)

(c)

P(X$\ge$x)

(d)

all of these

7. In a binomial distribution, the probability of success is twice as that of failure. Then out of 4 trials, the probability of no success is

(a)

16/81

(b)

1/16

(c)

2/27

(d)

1/81

8. The standard error of sample mean is

(a)

$\frac { \sigma }{ \sqrt { 2n } }$

(b)

$\frac { \sigma }{ { n } }$

(c)

$\frac { \sigma }{ \sqrt { n } }$

(d)

$\frac { { \sigma }^{ 2 } }{ \sqrt { n } }$

9. Chance variation in the manufactured product is

(a)

controllable

(b)

not controllable

(c)

both (a) and (b)

(d)

none of these

10. A type of decision –making environment is

(a)

certainty

(b)

uncertainty

(c)

risk

(d)

all of the above