MCQ

MCQ 11 Mark

If $x \in W$, the solution set of the inequation $-2 \leq x<3$ is

A
$\{-2,-1,0,1,2\}$
B
$\{-1,0,1,2,3\}$
C
$\{0,1,2,3\}$
D
$(0,1,2\}$

Answer

$x \in W$
Solution set $-2 \leq x<3=\{-2,-1,0,1,2\}$ (a)

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MCQ 21 Mark

If the difference of two supplementary angles is $30^{\circ}$, then the larger angle is

A
$60^{\circ}$
B
$75^{\circ}$
C
$90^{\circ}$
✓
$105^{\circ}$

Answer

Correct option: D.

$105^{\circ}$

Let first supplementary angle $= x$
Then second $=180^{\circ}- x$
$x-\left(180^{\circ}-x\right)=30^{\circ}$
$\Rightarrow x-180^{\circ}+x=30^{\circ}$
$\Rightarrow 2 x=30^{\circ}+180^{\circ}=210^{\circ}$
$\Rightarrow x=105^{\circ}$
Larger angle $=105^{\circ}$

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MCQ 31 Mark

If the difference of two complementary angles is $10^\circ ,$ then the smaller angle is

✓
$40^{\circ}$
B
$50^{\circ}$
C
$45^{\circ}$
D
$35^{\circ}$

Answer

Correct option: A.

$40^{\circ}$

Let first angle $= x$
Then its complementary angle $=90^{\circ}-x$
Now $x-\left(90^{\circ}-x\right)=10^{\circ}$
$\Rightarrow x-90^{\circ}+x=10^{\circ}$
$\Rightarrow 2 x=10^{\circ}+90^{\circ}=100^{\circ}$
$\Rightarrow x=50^{\circ}$
Second angle $=90^{\circ}-50^{\circ}=40^{\circ}$
Smaller angle $=40^{\circ}$

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MCQ 41 Mark

If the length of a rectangle is twice its breadth and its perimeter is 120 m, then its length is

A
20 m
B
30 m
C
40 m
D
60 m

Answer

Let breadth of a rectangle = x
Then length = 2x
Perimeter = 2(x + 2x) = 2 × 3x = 6x
6x = 120
⇒ x = 20
Length = 2x = 20 × 2 = 40 m $\text{(c)}$

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MCQ 51 Mark

If 5 added to thrice an integer is -7, then the integer is

A
$-6$
B
$-5$
C
$-4$
D
4

Answer

Let integer be x, then 3x + 5 = -7
⇒ 3x = -7 – 5
⇒ 3x = -12
⇒ 3x= -14
⇒ x = -4 ©

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MCQ 61 Mark

If the sum of two consecutive odd numbers is 28, then the bigger number is

A
19
B
17
C
15
D
13

Answer

Let first odd number = x
Then second = x + 2
x + x + 2 = 28
⇒ 2x = 28 – 2 = 26
⇒ x = 13
Bigger odd number = 13 + 2 = 15 $\text{(c)}$

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MCQ 71 Mark

If the sum of two consecutive even numbers is 54, then the smaller number is

A
25
B
26
C
27
D
28

Answer

Let first even integer = 2x
Then second integer = 2x + 2
2x + 2x + 2 = 54
⇒ 4x = 54 – 2
⇒ 4x = 52
⇒ x = 13
Smaller even integer = 2 × 13 = 26 (b)

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MCQ 81 Mark

The solution of which of the following equations is neither an integer nor a fraction?

A
$2x + 5 = 1$
B
$3x – 7 = 0$
C
$5x – 7 = x + 1$
✓
$4x + 7 = x + 2$

Answer

Correct option: D.

$4x + 7 = x + 2$

$4 x+7=x+2$
$\Rightarrow 4 x-x=2-7$
$\Rightarrow 3 x=-5$
$\Rightarrow x=\frac{-5}{3}$

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MCQ 91 Mark

The equation which cannot be solved in integers is

A
$5x – 3 = -18$
B
$3y – 5 = y – 1$
✓
$3p + 8 = 3 + p$
D
$9z + 8 = 4z – 7$

Answer

Correct option: C.

$3p + 8 = 3 + p$

$3 p+8=3+p$
$\Rightarrow 3 p-p=3-8$
$\Rightarrow 2 p=-5$
$\Rightarrow p=\frac{-5}{2}$
Which is not an integer.

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MCQ 101 Mark

The value of p for which the expressions p – 13 and 2p + 1 become equal is

A
$0$
B
14
C
$-14$
D
5

Answer

p – 13 = 2p + 1
⇒ 2p – p = -13 – 1
⇒ p = -14 (c)

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MCQ 111 Mark

$-1$ is not a solution of the equation

A
x + 1 = 0
B
3x + 4 = 1
C
5x + 7 = 2
D
x – 1 = 2

Answer

x – 1 = 2
⇒ -1 – 1 ≠ 2
-1 is not solution of x – 1 = 2 (d)

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MCQ 121 Mark

If 3(3n – 10) = 2n + 5, then the value of n is

A
12
B
5
C
3
D
$(-5)$

Answer

3(3n – 10) = 2n + 5
⇒ 9n – 30 = 2n + 5
⇒ 9n – 2n = 5 + 30
⇒ 7n = 35
⇒ n = 5 (b)

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MCQ 131 Mark

x = -1 is a solution of the equation

A
x – 5 = 6
B
2x + 5 = 7
C
2(x – 2) + 6 = 0
D
3x + 5 = 4

Answer

x = -1
2(x – 2) + 6 = 0
⇒ 2(-1 – 2) + 6 = 0
⇒ 2 × (-3) + 6 = 0
⇒ -6 + 6 = 0 $\text{(c)}$

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MCQ 141 Mark

The solution of the equation $\frac{1}{3}(2 y-1)=3$ is

✓
$5$
B
$3$
C
$2$
D
$1$

Answer

Correct option: A.

$5$

$\text {Solution of } \frac{1}{3}(2 y-1)=3$
$\Rightarrow 2 y-1=3 \times \frac{3}{1}=9$
$2 y=9+1=10$
$y=\frac{10}{2}=5$

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MCQ 151 Mark

Which of the following is not a linear equation in one variable?

A
3x – 1 = 7
B
5y – 2 = 3 (y + 2)
C
$2 x-3=\frac{7}{2}$
D
7p + q = 3

Answer

7p + q = 3 is not a linear equation in one variable. (d)

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