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

12th Standard EM

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

10 x 1 = 10
1. If A is a singular matrix, then Adj A is.

(a)

non-singular

(b)

singular

(c)

symmetric

(d)

not defined

2. $\int { \frac { 2 }{ { \left( { e }^{ x }+{ e }^{ -x } \right) }^{ 2 } } }$ dx = ____________ +c

(a)

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

(b)

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

(c)

$\frac { 1 }{ { \left( { e }^{ x }+1 \right) }^{ 2 } }$

(d)

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

3. The area enclosed by the curve y = cos2x in [0,$\pi$] the lines x=0, x=$\pi$ and the X-axis is ________sq.units.

(a)

2$\pi$

(b)

2$\pi$

(c)

$\frac{2}{\pi}$

(d)

$\frac{\pi}{2}$

4. If y = k.eλx then its differential equation where k is arbitrary constant is

(a)

$\frac { dy }{ dx }$=λy

(b)

$\frac { dy }{ dx }$=ky

(c)

$\frac { dy }{ dx }$+ky=0

(d)

$\frac { dy }{ dx }$=eλx

5. If c is a constant, then Δc =

(a)

c.∆

(b)

c.∇

(c)

0

(d)

1

6. Given E(X+c)=8 and E(X-c)=12, then the value of c is

(a)

-2

(b)

4

(c)

-4

(d)

2

7. If Z is a standard normal variate, then p(0<Z<∞) is

(a)

0.5

(b)

1

(c)

0.25

(d)

0.75

8. Which of the following statements is true?

(a)

point estimate gives a range of value

(b)

sampling is done only to estimate a statistic

(c)

sampling is done to estimate the population parameter

(d)

sampling is not possible for an infinite population

9. The normal equations for estimating a and b so that the line y = ax + b may be the line of best fit are

(a)

aΣx2 + bΣx = Σxy, aΣx + nb = Σy

(b)

aΣx + bΣx2 = Σxy, aΣx2 + nb = Σy

(c)

aΣx + nb = Σxy, aΣx2 + bΣx = Σy

(d)

aΣx2 + nb = Σxy, aΣx + bΣx = Σy

10. To assign different jobs to the different machines to minimize the overall cost is

(a)

transportation problem

(b)

assignment problem

(c)

minimax principle

(d)

maximin principle