Fractions MCQ Quiz - Objective Question with Answer for Fractions - Download Free PDF

Given:

A quantity  is changed to .

Calculation:

Change in percentage 

⇒ (5/6 - 4/5)/4/5

⇒ 0.04166

In percentage 

⇒ 4.17%

∴ The change in given to the quantity in 4.17%.

Given:

Expression: 

Formula Used:

1. Cube of a number: 

2. Square of a number: 

3. Mixed fraction: Convert mixed fraction to improper fraction

Calculation:

Step 1: Simplify inside the brackets

Calculate 

Calculate 

Add them together: ⇒ 27 + 8 = 35

Step 2: Multiply by 22/7

Calculate: ⇒ 35 × 22/7 = 5 × 22 = 110

Step 3: Simplify the second part

Calculate  = 36

Calculate  = 9

Calculate  = 16

Subtract and add: ⇒ 36 + 9 - 16 = 29

Convert mixed fraction  to improper fraction: ⇒ = 29/2

Divide: ⇒ 29 ÷ 29/2 = 29 × 2/29 = 2

Step 4: Multiply the results from Step 2 and Step 3

Final calculation: ⇒ 110 × 2 = 220

Therefore, the simplified value of the given expression is 220.

Given:

 of 

Concept used:

Follow the BODMAS rule according to the table given below: 

Calculation:

⇒  of 

⇒ of 

⇒ 

⇒ 

⇒ 

∴ 

Given:

The repeating decimal is: 2.777...

Formula used:

Let x = 2.777... (a repeating decimal)

Multiply both sides by 10ⁿ (where n is the number of repeating digits) to eliminate the repeating part.

Then solve for x.

Calculations:

Let x = 2.777...

Multiply by 10 (since 1 digit is repeating):

⇒ 10x = 27.777...

Now subtract the original equation (x = 2.777...) from this:

⇒ 10x - x = 27.777... - 2.777...

⇒ 9x = 25

⇒ x = 25/9

∴ The equivalent fraction of 2.777... is (25/9), and the correct answer is option (2).

Given:

Expression:

Formula Used:

Perform arithmetic operations in the given expression following BODMAS rules.

Calculation:

∴ Option 2 is the correct answer.

Solution:

= 25/2 + 37/3 + 73/6

= (75 + 74 + 73)/6

= 222/6

= 37

Shortcut Trick

= 12 + 12 + 12 + (1/2 + 1/3 + 1/6)

= 36 + 1 = 37

Let that fraction be x.

⇒ x + 5/8 = 1

⇒ x = 1 – 5/8

⇒ x = 3/8 = 6/16

⇒ 59/20

(7/13) = 0.538

(2/3) = 0.666

(4/11) = 0.3636

(5/9) = 0.5555

Out of 2/3, 7/13, 4/11, 5/9

2/3 is the largest number followed by 5/9 then 7/13 and the smallest is 4/11.

∴ The ascending order will be 4/11, 7/13, 5/9, 2/3.

Given:

(5x - 2y) ∶ (x - 2y) = 9 ∶ 17

Calculation:

The given ratio can be written as:

(5x - 2y)/(x - 2y) = 9/17

17 × (5x - 2y) = 9 × (x - 2y)

85x - 34y = 9x - 18y

76x = 16y

x/y = 16/76

x/y = 4/19

9 × (4/19)/13 = 36/247

So, 9x/13y = 36/247.

Formula used:

a² - b² = (a + b)(a - b)

Calculation

⇒ 

⇒ [(p + q - r)(p - q + r)]/[(p + q + r)(p - q + r)] + [(p + q - r)(q - p + r)]/[(p + q + r)(p + q - r)] + [(p - q + r)(q  -p + r)]/[(p + q + r)(q - p + r)]

⇒ [(p + q - r)]/[(p + q + r)] + [q - p + r)]/[(p + q + r)] + [(p - q + r)]/[(p + q + r)]

⇒ [(p + q - r)]/[(p + q + r)] + [q - p + r)]/[(p + q + r)] + [(p - q + r)]/[(p + q + r)]

⇒ (p + q + r)/(p + q + r)

⇒ 1.

The value is 1.

Shortcut Trick

Let put p = q = r = 1

So,

⇒ 

⇒ 

⇒ 1/3 + 1/3 + 1/3 = 1

Hence, The value is 1.

Let the number of people be x and number of the chair be y.

Number of available chair = y × (9/13) = 9y/13

Number of empty chair = y - (9y/13) = 4y/13

Given, Number of empty chairs = 28

According to the question

4y/13 = 28

y = 28 × (13/4) = 91

Total number of chairs = 91

Number of chairs in which people are sitting = 91 - 28 = 63

Number of people who sit = x × (7/9) = 7x/9

According to the question

7x/9 = 63

x = 63 × (9/7) = 81

Total number of people are = 81

Chairs would have been still empty if everyone in the hall was sitting = 91 - 81 = 10

Given:

Calculation:

⇒ 5x/(2 – x) = 1

⇒ 5x = 2 – x

⇒ 6x = 2

⇒ x = 2/6

∴ The required value of x is 1/3.

Given:

The fractions are 13/19, 25/ 31, 28/31, 70/79.

Calculation:

The values are-

13/19 = 0.68

25/31 = 0.80

28/31 = 0.90

70/79 = 0.88

∴ Option C is correct.

Concept Used:

Follow BODMAS rule to solve this question, as per the order given below,

Calculations:

Given expression is,

⇒ ? = 144/18

⇒ ? = 8