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

12th Standard EM

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

10 x 1 = 10
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. $\frac { sin2x }{ 2sinx } dx$ is

(a)

sin x + c

(b)

$\frac12$sin x + c

(c)

cos x + c

(d)

$\frac12$cos x + c

3. Area bounded by the curve y = $\frac{1}{x}$ between the limits 1 and 2 is

(a)

log2 sq.units

(b)

log5 sq.units

(c)

log3 sq.units

(d)

log 4 sq.units

4. The order and degree of the differential equation ${ \left( \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right) }^{ \frac { 1 }{ 2 } }-\sqrt { \frac { dy }{ dx } } -4=0$ are respectively

(a)

2 and 6

(b)

3 and 6

(c)

1 and 4

(d)

2 and 4

5. E ≡

(a)

1 + Δ

(b)

1 - Δ

(c)

1 + ∇

(d)

1 - ∇

6. 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

7. If Z is a standard normal variate, the proportion of items lying between Z = –0.5 and Z = –3.0 is

(a)

0.4987

(b)

0.1915

(c)

0.3072

(d)

0.3098

8. A finite subset of statistical individuals in a population is called __________

(a)

a sample

(b)

a population

(c)

universe

(d)

census

9. The components of a time series which is attached to short term fluctuation is

(a)

Secular trend

(b)

Seasonal variations

(c)

Cyclic variation

(d)

Irregular variation

10. In a degenerate solution number of allocations is

(a)

equal to m+n–1

(b)

not equal to m+n–1

(c)

less than m+n–1

(d)

greather than m+n–1