MCQ

MCQ 11 Mark

If $u$ and $v$ are functions of $x$, then what is the formula for derivative of $\frac{u}{v}$ ?

A
$\frac{v \frac{d u}{d x}-u \frac{d v}{d x}}{v^2}$
B
$\frac{v \frac{d u}{d x}+u \frac{d v}{d x}}{v^2}$
✓
$\frac{u \frac{d u}{d x}-v \frac{d v}{d x}}{u^2}$
D
$\frac{u \frac{d u}{d x}+v \frac{d v}{d x}}{u^2}$

Answer

Correct option: C.

$\frac{u \frac{d u}{d x}-v \frac{d v}{d x}}{u^2}$

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MCQ 21 Mark

If $y=a x+b, a$ and $b$ are constant then what will be $\frac{d y}{d x}$ ?

✓
$a$
B
$b$
C
$a+b$
D
$a+b$

Answer

Correct option: A.

$a$

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MCQ 31 Mark

What is the interval form of $0.02$ neighbourhood of $-2 ?$

A
$(1.98,2.02)$
B
$(-1.98,2.02)$
C
$ (-2.02, -1.98)$
✓
$(-2.02,1.98)$

Answer

Correct option: D.

$(-2.02,1.98)$

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MCQ 41 Mark

What is the value of $\frac{\lim }{x \rightarrow 3} 2 x+5?$

A
$10$
B
$7$
✓
$11$
D
$-1$

Answer

Correct option: C.

$11$

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MCQ 51 Mark

Which of the following is probability density function for standard normal variable$?$

A
$f(z)=e^{-1 / 2 z^2} ;-\infty$
✓
$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-1 / 2 z^2} ;-\infty$
C
$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-1 / 2 z^2} ; 0$
D
$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-z^2} ;-\infty$

Answer

Correct option: B.

$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-1 / 2 z^2} ;-\infty$

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MCQ 61 Mark

What is the total area under normal curve$?$

A
$0$
✓
$1$
C
$-1$
D
$0.5$

Answer

Correct option: B.

$1$

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MCQ 71 Mark

In normal distribution, usually what percentage of the observations are included in the limits $\mu \pm \sigma$ ?

A
$34.13 \%$
B
$95.45 \%$
✓
$68.26 \%$
D
$50 \%$

Answer

Correct option: C.

$68.26 \%$

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MCQ 81 Mark

For a positively skewed binomial distribution with $n=10$, which of the following values might be the value of mean$?$

✓
$3$
B
$5$
C
$9$
D
$7$

Answer

Correct option: A.

$3$

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MCQ 91 Mark

Which of the following is an example of continuous variable?

A
Number of accidents occurring at any place
B
Number of rainy days in a year
✓
Maximum temperature during a day
D
Number of children in a family

Answer

Correct option: C.

Maximum temperature during a day

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MCQ 101 Mark

What is the total number of sample points in the sample space formed by throwing three six-faced balanced dice simultanenusly?

A
$36$
B
$729$
C
$18$
✓
$216$

Answer

Correct option: D.

$216$

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MCQ 111 Mark

If $A \cup A^{\prime}=U$, then what type of events are $A$ and $A^{\prime}$ ?

A
Impossible events
B
Certain events
✓
Complimentary events
D
Independent events

Answer

Correct option: C.

Complimentary events

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MCQ 121 Mark

How do you show the additive model of the Time series ?

A
$y_t=T_t+S_t+C_t-R_t$
✓
$y_t=T_t+S_t+C_t+R_t$
C
$y_t=T_t \times S_t+C_t \times R_t$
D
$y_t=S_t+C_t+R_t$

Answer

Correct option: B.

$y_t=T_t+S_t+C_t+R_t$

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MCQ 131 Mark

The best fitted line of regression can be obtained by which method?

✓
Least Square Method
B
Karl Pearson's Method
C
Maximum Square Method
D
Bowley's Method

Answer

Correct option: A.

Least Square Method

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MCQ 141 Mark

What is the range of the correlation coefficient $r$ ?

A
$-1< r >1$
B
$-1$ to $0$
C
$0$ to $1$
✓
$-1 \leq r \leq 1$

Answer

Correct option: D.

$-1 \leq r \leq 1$

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MCQ 151 Mark

In construction of Index Number, which average is considered as the best average?

A
Arithmetic Mean
✓
Geometric Mean
C
Harmonic Mean
D
Weighted Mean

Answer

Correct option: B.

Geometric Mean

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Statistics MCQ

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