#### 12th Standard Business Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Five

12th Standard

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Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. If $\left| A \right| \neq 0,$ then A is

(a)

non-singular matrix

(b)

singular matrix

(c)

zero matrix

(d)

none of these

2. If f (x) is a continuous function and a < c < b, then $\int_{a}^{c} f(x) d x+\int_{c}^{b} f(x) d x$ is

(a)

$\int_{a}^{b} f(x) d x-\int_{a}^{c} f(x) d x$

(b)

$\int_{a}^{c} f(x) d x-\int_{a}^{b} f(x) d x$

(c)

$\int_{a}^{b} f(x) d x$

(d)

0

3. $\int _{ 0 }^{ 1 }{ \frac { 1 }{ 2x-3 } }$ dx = ____________

(a)

$\frac { 1 }{ 2 } log3$

(b)

$-\frac { 1 }{ 2 } log3$

(c)

$\frac { 1 }{ 2 } log1$

(d)

0

4. When x0 = 5 and p0 = 3 the consumer’s surplus for the demand function pd = 28 − x2 is

(a)

250 units

(b)

$\frac{250}{3}$units

(c)

$\frac{251}{2}$ units

(d)

$\frac{251}{3}$ units

5. The are bounded by the demand curve xy = 1, the X-axis, x = 1 and x = 2 is ________

(a)

log 2

(b)

log $\frac{1}{2}$

(c)

2 log 2

(d)

$\frac{1}{2}$log 2

6. Which of the following is the homogeneous differential equation?

(a)

(3x−5)dx = (4y−1)dy

(b)

xy dx−(x3+y3)dy = 0

(c)

y2dx+(x− xy  − y2)dy = 0

(d)

(x2+y)dx = (y2+x)dy

7. E [c.f(x)] = ___________ where c is a constant

(a)

E (f(c)

(b)

c. Ef(x)

(c)

E$\left( \frac { f}{c } \right)$

(d)

E(-fc)

8. A discrete probability function p(x) is always non-negative and always lies between

(a)

0 and $\infty$

(b)

0 and 1

(c)

–1 and +1

(d)

–∞ and +∞

9. If f(x) = kx(1-x), 0< x < 1 is a p.d.f. then the value of k is ________.

(a)

$\frac{1}{5}$

(b)

$\frac{2}{5}$

(c)

$\frac{3}{5}$

(d)

6

10. If P(Z > z) = 0.5832 what is the value of z (z has a standard normal distribution)?

(a)

-0.48

(b)

0.48

(c)

1.04

(d)

-0.21