#### Important 1 Mark Book Back Questions (New Syllabus) 2020

12th Standard

Reg.No. :
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Time : 00:15:00 Hrs
Total Marks : 17

Part A

17 x 1 = 17
1. if T = $_{ B }^{ A }\left( \begin{matrix} \overset { A }{ 0.4 } & \overset { B }{ 0.6 } \\ 0.2 & 0.8 \end{matrix} \right)$ is a transition probability matrix, then at equilibrium A is equal to

(a)

$\frac { 1 }{ 4 }$

(b)

$\frac { 1 }{ 5 }$

(c)

$\frac { 1 }{ 6 }$

(d)

$\frac { 1 }{ 8 }$

2. If $\rho (A)=\rho (A,B)$ then the system is

(a)

Consistent and has infinitely many solutions

(b)

Consistent and has a unique solution

(c)

consistent

(d)

inconsistent

3. $\int \frac{\sin 5 x-\sin x}{\cos 3 x} d x$ is

(a)

−cos 2x + c

(b)

−cos 2x + c

(c)

$-\frac14$cos2x + c

(d)

−4cos2x + c

4. If $\int _{ 0 }^{ 1 }{ f(x) } dx=1,\int _{ 0 }^{ 1 }{ xf(x) } dx=a$ and $\int _{ 0 }^{ 1 }{ { x }^{ 2 }f(x) } dx={ a }^{ 2 }$, then $\int _{ 0 }^{ 1 }{ { (a-x) }^{ 2 } } f(x)$ is

(a)

4a2

(b)

0

(c)

2a2

(d)

1

5. Area bounded by y = x between the lines y = 1, y = 2 with y = axis is

(a)

$\frac{1}{2}$ sq.units

(b)

$\frac{5}{2}$ sq.units

(c)

$\frac{3}{2}$ sq.units

(d)

1 sq.unit

6. If y = cx + c− c3 then its differential equation is

(a)

$y=\frac { dy }{ dx } +\frac { dy }{ dx } -{ \left( \frac { dy }{ dx } \right) }^{ 3 }$

(b)

$y={ \left( \frac { dy }{ dx } \right) }^{ 3 }=x\frac { dy }{ dx } -\frac { dy }{ dx }$

(c)

$\frac { dy }{ dx } +y={ \left( \frac { dy }{ dx } \right) }^{ 3 }-x\frac { dy }{ dx }$

(d)

$\frac { { d }^{ 3 }y }{ d{ x }^{ 3 } } =0$

7. Δ2y0 =

(a)

y−2y+ y0

(b)

y+ 2y− y0

(c)

y2 + 2y1 + y0

(d)

y+ y+ 2y0

8. Probability which explains x is equal to or less than particular value is classified as

(a)

discrete probability

(b)

cumulative probability

(c)

marginal probability

(d)

continuous probability

9. E[X-E(X)]2 is

(a)

E(X)

(b)

E(X2)

(c)

V(X)

(d)

S.D(X)

10. An expected value of a random variable is equal to it’s

(a)

variance

(b)

standard deviation

(c)

mean

(d)

covariance

11. An experiment succeeds twice as often as it fails. The chance that in the next six trials, there shall be at least four successes is

(a)

240/729

(b)

489/729

(c)

496/729

(d)

251/729

12. Monthly expenditure on their credit cards, by credit card holders from a certain bank, follows a normal distribution with a mean of  Rs. 1,295.00 and a standard deviation of Rs. 750.00. What proportion of credit card holders spend more than Rs. 1,500.00 on their credit cards per month?

(a)

0.487

(b)

0.392

(c)

0.500

(d)

0.791

13. In simple random sampling from a population of N units, the probability of drawing any unit at the first draw is

(a)

$\frac{n}{N}$

(b)

$\frac{1}{N}$

(c)

$\frac{N}{n}$

(d)

1

14. A time series is a set of data recorded

(a)

Periodically

(b)

Weekly

(c)

successive points of time

(d)

all the above

15. Consumer price index are obtained by:

(a)

Paasche’s formula

(b)

Fisher’s ideal formula

(c)

Marshall Edgeworth formula

(d)

Family budget method formula

16. Number of basic allocation in any row or column in an assignment problem can be

(a)

Exactly one

(b)

at least one

(c)

at most one

(d)

none of these