Questions

M.C.Q (1 Marks)

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54 questions · 42 auto-graded MCQ + 12 self-marked written.

MCQ 11 Mark
Which of the following is not a measure of central tendency?
  • A
    Median
  • Standard deviation
  • C
    Mode
  • D
    Mean
Answer
Correct option: B.
Standard deviation
Standard deviation
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MCQ 31 Mark
Look at the pie diagram showing number of skilled workers in different fields the number of workers in the production is ---------- if total number of workers is 10,000 

Image

  • 2000
  • B
    1500
  • C
    2500
  • D
    3500
Answer
Correct option: A.
2000
2000
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MCQ 41 Mark
If the mean of frequency distribution is 34.9, ∑ 𝑓𝑖𝑥𝑖 = 1000 + a, ∑ 𝑓𝑖 = 30 then the value of a = ------
  • 47
  • B
    48
  • C
    42
  • D
    45
Answer
Correct option: A.
47
47
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MCQ 51 Mark
If the following information that is budget of a family is shown as a pie graph, then central angle for clothing is --------

Head

Rent

Clothing

Education

Saving

Food

Miscellaneous

Expenditure

Rs.2400

Rs.1800

Rs.1200

Rs.1200

Rs. 4800

Rs.600

  • A
    72°
  • 54°
  • C
    36°
  • D
    18°
Answer
Correct option: B.
54°
54°
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MCQ 61 Mark
If assumed mean (A) = 57.5 ∑ 𝑓𝑖𝑑𝑖 = −10 and ∑ 𝑓𝑖 = 80 then Mean = ------
  • A
    57.625
  • B
    57.125
  • 57.375
  • D
    57.275
Answer
Correct option: C.
57.375
C
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MCQ 71 Mark
Following table shows the percentage of donors as per the blood group, the central angle for the group 'O' is ----------

Blood group

O

A

B

AB

% Of persons

60

20

15

5

  • A
    72°
  • B
    108°
  • 216°
  • D
    54°
Answer
Correct option: C.
216°
216°
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MCQ 81 Mark
Class marks in a grouped frequency table are useful to find . . .
  • A
    Mean
  • B
    Median
  • C
    Mode
  • All of these
Answer
Correct option: D.
All of these
All of these
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MCQ 91 Mark
A box contains nails of different lengths as shown below, the median class will be -----

Length ( in cm)

2.0 – 2.5

2.5 – 3.0

3.0 – 3.5

3.5 – 4.0

4.0 – 4.5

No. of nails

5

18

7

11

9

  • A
    2.5 – 3.0
  • 3.0 – 3.5
  • C
    3.5 – 4.0
  • D
    4.0 – 4.5
Answer
Correct option: B.
3.0 – 3.5
B
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MCQ 111 Mark
Which of the following number cannot represent a probability?
  • A
    0.66
  • 1.5
  • C
    0.15
  • D
    0.7
Answer
Correct option: B.
1.5
1.5
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MCQ 121 Mark
When two dice are thrown the number of sample points in the sample space are ........
  • A
    6
  • B
    12
  • 36
  • D
    52
Answer
Correct option: C.
36
36
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MCQ 131 Mark
When a dice is thrown the number of sample points in the sample space are ..........
  • A
    4
  • 6
  • C
    2
  • D
    52
Answer
Correct option: B.
6
6
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MCQ 141 Mark
What is the probability of the event that a number chosen from 1 to 50 is a prime number ?
  • A
    $\frac{3}{10}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{3}{25}$
Answer
$

\frac{3}{10}

$

 

Explanation:

$

\begin{aligned}

S=\{1,2, \ldots ., 50\}\\

\therefore \mathrm{n}(S)=50

\end{aligned}

$

 

Let $\mathrm{A}$ be the event of getting a prime number.

 

$

\begin{aligned}

& \therefore A=\{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47\} \\

& \therefore \mathrm{n}(\mathrm{A})=15 \\

& \therefore P(A)=\frac{\mathrm{n}(\mathrm{A})}{\mathrm{n}(\mathrm{S})}=\frac{15}{50}=\frac{3}{10}

\end{aligned}

$

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MCQ 151 Mark
In how many ways a card can be drawn from a well shuffled pack of playing cards,
  • A
    4
  • B
    1
  • C
    26
  • 52
Answer
Correct option: D.
52
52
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MCQ 161 Mark
If $n ( A )=5, P ( A )=\frac{1}{2}$ then $n ( S )=$ ?
  • 10
  • B
    $\frac{3}{5}$
  • C
    $\frac{4}{5}$
  • D
    $\frac{1}{3}$
Answer
Correct option: A.
10
10
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MCQ 171 Mark
When trader collects GST at the time of sale, it is called ............
  • A
    CGST
  • Output tax
  • C
    Input tax
  • D
    SGST
Answer
Correct option: B.
Output tax
Output tax
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MCQ 191 Mark
The rate of GST on mobile phone is 12% then the rate of central GST is ............
  • 0.12
  • B
    0.012
  • C
    0.36
  • D
    0.06
Answer
Correct option: A.
0.12
0.12
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MCQ 201 Mark
In GST, all goods are classified by given numerical code called ........... code.
  • HSN
  • B
    GSTIN
  • C
    SAC
  • D
    NAV
Answer
Correct option: A.
HSN
HSN
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MCQ 211 Mark
If the face value of the share is Rs.100 and market value is Rs.150. if Rate brokerage is 0.5%. The selling price of 1 share is ...........
  • `Rs. 149.25
  • B
    Rs. 99.5
  • C
    Rs.150.75
  • D
    Rs. 100.5
Answer
Correct option: A.
`Rs. 149.25
A
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MCQ 221 Mark
If the face value of share is Rs.100 when market value was Rs 90. Company declared 20% dividend. The dividend per share is ............
  • A
    Rs.24
  • Rs.20
  • C
    Rs. 300
  • D
    Rs.150
Answer
Correct option: B.
Rs.20
B
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MCQ 231 Mark
If FV > MV the share is at ............
  • A
    discount
  • B
    par
  • Premium
  • D
    None of these
Answer
Correct option: C.
Premium
Premium
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MCQ 241 Mark
If FV =MV the share is at ............
  • A
    discount
  • at par
  • C
    Premium
  • D
    None of these
Answer
Correct option: B.
at par
at par
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MCQ 251 Mark
If FV < MV the share is at ............
  • discount
  • B
    par
  • C
    Premium
  • D
    None of these
Answer
Correct option: A.
discount
discount
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MCQ 271 Mark
70 shares of FV 100 each are purchased for MV Rs.130 then the sum invested is..........
  • A
    Rs. 9750
  • Rs. 9100
  • C
    Rs. 13000
  • D
    Rs. 6000
Answer
Correct option: B.
Rs. 9100
Rs. 9100
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MCQ 291 Mark
In an Arithmetic Progression 2,4,6,8,……..the common difference d is………..
  • A
    8
  • B
    6
  • 2
  • D
    -2
Answer
Correct option: C.
2
2
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MCQ 311 Mark
If third term and fifth term of an A.P. are 13 and 25 respectively, find its 7th term.
  • A
    30
  • B
    33
  • 37
  • D
    38
Answer
Correct option: C.
37
37
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MCQ 331 Mark
First four terms of an A.P., are……………………whose first term is -2 and common difference is -2.
  • A
    -2,0,2,4
  • B
    -2,4,-8,16
  • C
    -2,-4,-6,-8
  • D
    -2,-4,-8,-16
Answer
First, four terms of an A.P., are $=\mathbf{2},-\mathbf{4},-\mathbf{6},-\mathbf{8}$ whose first term is -2 and the common difference is -2 .

Explanation:

Let the first four terms of an A.P are $a, a+d, a+2 d$ and $a+3 d$

Given that the first term is -2 and difference is also -2 , then the A.P would be:

 

-2,(-2-2),[-2+2(-2)],[-2+3(-2)] \

= -2,-4,-6,-8

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MCQ 341 Mark
Find $t_3=$ ? in an A.P. $9,15,21,27$
  • A
    27
  • B
    21
  • C
    15
  • D
    9
Answer
21

Explanation:

A.P. 9, 15, 21, 27, ...(Given)

$t_1=9, t_2=15, t_3=21, t_4=27$

$\therefore \mathrm{t}_3=21$

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MCQ 361 Mark
A set of numbers where the numbers are arranged in a definite order, like the natural numbers, is called a .........
  • A
    index
  • B
    numbers
  • C
    line
  • sequence
Answer
Correct option: D.
sequence
sequence
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MCQ 371 Mark
1,4,7,10,13...... Next two terms of this A.P. are………………………….
  • 16,19
  • B
    10,7
  • C
    19,22
  • D
    16,18
Answer
Correct option: A.
16,19
16,19
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MCQ 381 Mark
Which of the following quadratic equation has roots -3 and -5 ?
  • A
    $X^2-8 X+15=0$
  • B
    $X^2-8 X-15=0$
  • C
    $X ^2+8 X +15=0$
  • D
    $X ^2+8 X 15=0$
Answer
x^2+8 x+15=0

\

Explanation:

\

The roots of the quadratic equation $x^2+8 x+15=0$ are

\[

\begin{aligned}

& x^2+5 x+3 x+15=0 \quad \ldots\left(\begin{array}{c}

5 \times 3=+15 \\

5+3=+8

\end{array}\right) \\

& x(x+5)+3(x+5)=0 \\

& (x+5)(x+3)=0 \\

& \therefore x+5=0 \\

& x=-5 \\

& \therefore x+3=0 \\

& x=-3

\end{aligned}

\]

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MCQ 391 Mark
Which of the following is not a quadratic equation?
  • A
    $2 X ^2- X +3=0$
  • B
    $4 X^2-3 X=0$
  • $X^3-5 X+3=0$
  • D
    $4 X^2=0$
Answer
Correct option: C.
$X^3-5 X+3=0$
$X^3-5 X+3=0$
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MCQ 401 Mark
Which of the following is a quadratic equation?
  • A
    $X ^3+5 X ^2+ X +3=0$
  • $4 X^2-3 X-5=0$
  • C
    $X +5=0$
  • D
    $4 X^5=0$
Answer
Correct option: B.
$4 X^2-3 X-5=0$
$4 X^2-3 X-5=0$
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MCQ 411 Mark
What is the value of discriminant for the quadratic equation $X ^2-2 X -3$= 0?
  • A
    -16
  • 16
  • C
    8
  • D
    4
Answer
Correct option: B.
16
16
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MCQ 421 Mark
If the root of the given quadratic equation are real and equal then find the value of ‘k’ $X ^2+2 X + k =0$
  • 1
  • B
    -1
  • C
    2
  • D
    -2
Answer
Correct option: A.
1
1
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MCQ 431 Mark
If one of the roots of quadratic equation $X ^2- kX +27=0$ is 3 then find the value of ‘k’.
  • A
    10
  • 12
  • C
    -12
  • D
    16
Answer
Correct option: B.
12
12
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MCQ 451 Mark
which of the following is not the solution of 3x+6y=12?
  • A
    (-4,4)
  • B
    (0,2)
  • C
    (8, -2)
  • D
Answer
$(3,1)$

\

Explanation:

\[

\begin{aligned}

& 3 x+6 y=3(3)+6(1) \\

& =9+6 \\

& =15 \neq 12

\end{aligned}

\]

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MCQ 461 Mark
Which of the following is linear equation in two variables?
  • A
    $\frac{x}{3}+\frac{5}{y}=6$
  • B
    $2 x^2-3 y=8-3 y$
  • x+2y=5-3y
  • D
    3 x²+y
Answer
Correct option: C.
x+2y=5-3y
x+2y=5-3y
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MCQ 471 Mark
To draw the graph of 4x + 5y = 19, if x = 1 is taken then what will be the value of y?
  • A
    4
  • 3
  • C
    2
  • D
    -3
Answer
Correct option: B.
3
3
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MCQ 481 Mark
The solution of the equation x-y=10 and x+y=70 is --------.
  • (40,30)
  • B
    (30,40)
  • C
    (10,60)
  • D
    (50,20)
Answer
Correct option: A.
(40,30)
(40,30)
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MCQ 501 Mark
$\left|\begin{array}{cc}3 & 5 \\ 2 & x\end{array}\right|=2 \quad \therefore x=\cdots \cdots$
  • A
    3
  • 4
  • C
    -3
  • D
    -4
Answer
Correct option: B.
4
4
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MCQ 511 Mark
If 49 x – 57 y = 172 and 57 x – 49 y = 252 then x + y =?
  • A
    80
  • C
    10
  • D
    8
Answer
10

\

Explanation:

\[

\begin{aligned}

& 49 x-57 y=172 \\

& 57 x-49 y=252 \\

&\frac{-\quad +\quad- \\}{}

\\& -8 x-8 y=-80 \\

& \therefore x+y=\frac{-80}{-8}=10

\end{aligned}

\]

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MCQ 521 Mark
For the equations with variables x and y, if Dx = 26, Dy = −39 and D = 13 then x =?
  • A
    2
  • B
    -3
  • C
    -2
  • D
    3
Answer
Explanation :

\[

D x=26, D y=-39 \text { and } D=13

\]

Using Cramer's rule,

\[

\begin{aligned}

& x=\frac{D x}{x}=\frac{26}{13}=2 \\

& x=2

\end{aligned}

\]

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MCQ 541 Mark
Find the value of Dx for the equation 4𝑥 + 3 𝑦 = 19 and 4 𝑥 − 3 𝑦 = −11
  • A
    24
  • C
    -24
  • D
    108
Answer
$-24$

\

Explanation:

\[

\begin{aligned}

& \text { Here, } a_1=4, b_1=3, c_1=19 \\

& a_2=4, b_2=-3, c_2=-11 \\

& \therefore D_x=\left|\begin{array}{ll}

c_1 & b_1 \\

c_2 & b_2

\end{array}\right|=\left|\begin{array}{cc}

19 & 3 \\

-11 & -3

\end{array}\right| \\

& =-57+33 \\

& =-24

\end{aligned}

\]

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