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Board Question Paper : July 2022 · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 20 questions.

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20 questions · timed · auto-graded

MCQ 11 Mark
What is the derivative of $f(x)=\frac{4}{x^2}$ ?
  • A
    $\frac{4}{2 x}$
  • ✓
    $-\frac{8}{x^3}$
  • C
    $\frac{8}{x^3}$
  • D
    $0$
Answer
Correct option: B.
$-\frac{8}{x^3}$
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MCQ 21 Mark
What is the formula for elasticity of demand?
  • ✓
    $-\frac{p}{x} \cdot \frac{d x}{d p}$
  • B
    $\frac{p}{x} \cdot \frac{d x}{d p}$
  • C
    $-\frac{x}{p} \cdot \frac{d p}{d x}$
  • D
    $-\frac{p}{x} \cdot \frac{d p}{d x}$
Answer
Correct option: A.
$-\frac{p}{x} \cdot \frac{d x}{d p}$
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MCQ 31 Mark
What is the modulus form of $N (5,0.02)$ ?
  • A
    $|x+5|<0.02$
  • B
    $|x-0.02|<5$
  • C
    $|x-5|>0.02$
  • ✓
    $|x-5|<0.02$
Answer
Correct option: D.
$|x-5|<0.02$
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MCQ 41 Mark
What is the value of $\lim _{x \rightarrow 3} 3 x+1\ ?$
  • A
    $9$
  • ✓
    $10$
  • C
    $\frac{4}{3}$
  • D
    $8$
Answer
Correct option: B.
$10$
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MCQ 51 Mark
If the mean of a normal distribution is $13.25$ and its standard deviation is $10$ then, which of the following is the value of third quartile?
  • A
    $6.5$
  • B
    $10$
  • C
    $13.25$
  • ✓
    $20$
Answer
Correct option: D.
$20$
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MCQ 61 Mark
Which of the following is approximate value of mean deviation for normal variable?
  • ✓
    $\frac{4}{5} v$
  • B
    $\frac{4}{5} \mu$
  • C
    $\frac{2}{3} \sigma$
  • D
    $\frac{2}{3} \mu$
Answer
Correct option: A.
$\frac{4}{5} v$
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MCQ 71 Mark
What is the area under the normal curve to the right hand side of perpendicular line at $X =\mu?$
  • A
    $0$
  • ✓
    $0.5$
  • C
    $1$
  • D
    $-0.5$
Answer
Correct option: B.
$0.5$
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MCQ 81 Mark
For the probability distribution of a discrete random variable $X . E(X)=5$ and $E \left( X ^2\right)=35$. What will be the variance of this distribution?
  • ✓
    $10$
  • B
    $20$
  • C
    $30$
  • D
    $40$
Answer
Correct option: A.
$10$
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MCQ 91 Mark
State the relation between mean and variance of binomial distribution.
  • A
    $np$
  • B
    $n p \leq n p q$
  • ✓
    $n p>n p q$
  • D
    $n p \geq n p q$
Answer
Correct option: C.
$n p>n p q$
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MCQ 101 Mark
Which variable of the following will be an illustration of discrete variable?
  • A
    Height of a student
  • ✓
    Birth year of a student
  • C
    Blood pressure of a student
  • D
    Weight of a student
Answer
Correct option: B.
Birth year of a student
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MCQ 111 Mark
If events $A$ and $B$ are independent, which of the following options is true?
  • A
    $P(A \cap B)=P \times P(B)$
  • B
    $P(A \cup B)=P(A)+P(B)$
  • ✓
    $P ( A \cap B )= P ( A ) \times P ( B )$
  • D
    $P(A \cap B)=P(A)+P(B)$
Answer
Correct option: C.
$P ( A \cap B )= P ( A ) \times P ( B )$
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MCQ 121 Mark
Which event is given by a special subset $\phi$ of the sample space $U$ ?
  • A
    Certain Event
  • B
    Complementary Event of $\phi$
  • C
    Union of Events $U$ and $\phi$
  • ✓
    Impossible Event
Answer
Correct option: D.
Impossible Event
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MCQ 131 Mark
Which of the following variations are due to cyclical component?
  • ✓
    Decrease in the share prices due to recession in share market.
  • B
    Rise in demand of sweater during winter
  • C
    Decrease in the agricultural produce due to excessive rains
  • D
    Continuously decreasing death rate
Answer
Correct option: A.
Decrease in the share prices due to recession in share market.
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MCQ 141 Mark
State the independent variable of time series.
  • A
    $Y _{ t }$
  • B
    $S _{ t }$
  • C
    $X_t$
  • ✓
    $t$
Answer
Correct option: D.
$t$
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MCQ 151 Mark
Which statistician used term 'regression' for the first time?
  • A
    Karl Pearson
  • ✓
    Sir Francis Galton
  • C
    Spearman
  • D
    Fisher
Answer
Correct option: B.
Sir Francis Galton
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MCQ 161 Mark
What is error e in cstimation in casc of line of regression of $Y$ on $X$ ?
  • A
    $\hat{y}-\hat{x}$
  • B
    $x-\hat{x}$
  • ✓
    $y-\hat{y}$
  • D
    $\hat{x}-\hat{y}$
Answer
Correct option: C.
$y-\hat{y}$
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MCQ 171 Mark
Which kind of correlation will you get between the number of units sold and its revenue at constant price?
  • A
    Perfect positivc
  • B
    Partial positive
  • ✓
    Perfect negative
  • D
    Partial negative
Answer
Correct option: C.
Perfect negative
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MCQ 181 Mark
If $r(x, y)=-0.5$ then what is the value of $r(x,-y) ?$
  • A
    $0.5$
  • ✓
    $-0.5$
  • C
    $1$
  • D
    $0$
Answer
Correct option: B.
$-0.5$
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MCQ 191 Mark
If production of an item in the year $2018$ is $3$ times more than the production in the base year then, what will be the index number of production for the ycar $2018 ?$
  • ✓
    $400$
  • B
    $300$
  • C
    $200$
  • D
    $100$
Answer
Correct option: A.
$400$
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MCQ 201 Mark
Which prices are considered in the construction of the cost of living index number?
  • A
    Market price
  • B
    Wholesale price
  • C
    Average price
  • ✓
    Retail price
Answer
Correct option: D.
Retail price
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