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

Last updated on Jun 6, 2025

Solve these Decimal MCQs Quiz and improve your speed and accuracy of solving questions. ‘Decimals’ is one of the most commonly appearing topics in competitive exams and candidates must know how to stay on their toes while solving these questions. Decimal objective questions are actually an opportunity for candidates to save time for more difficult questions in their exams. Check out the explanations and tips to solve Decimal question answers with the least effort in the least amount of time.

Latest Decimals MCQ Objective Questions

Decimals Question 1:

Find the value of the expression given below, correct upto 2 decimal places.

  1. 0.84
  2. 0.81
  3. 0.86
  4. 0.82
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 0.86

Decimals Question 1 Detailed Solution

Given:

The value of 

Formula Used:

Calculation:

Here, a = 0.96 and b = 0.1 .

Using the formula:

⇒ 0.96 - 0.1

⇒ 0.86

The correct answer is option 3.

Decimals Question 2:

How many times greater is 0.18 than 0.004? 

  1. 35 
  2. 40 
  3. 50 
  4. 45

Answer (Detailed Solution Below)

Option 4 : 45

Decimals Question 2 Detailed Solution

Given:

Number 1 = 0.18

Number 2 = 0.004

Formula used:

How many times greater = Number 1/Number 2

Calculation:

∴ The correct answer is option (4).

Decimals Question 3:

Find the value of the expression given below, correct upto 2 decimal places.

  1. 0.84
  2. 0.81
  3. 0.86
  4. 0.82
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 0.86

Decimals Question 3 Detailed Solution

Given:

The value of 

Formula Used:

Calculation:

Here, a = 0.96 and b = 0.1 .

Using the formula:

⇒ 0.96 - 0.1

⇒ 0.86

The correct answer is option 3.

Decimals Question 4:

What is the value of 6.3 × 6.3 + 2 × 6.3 × 3.7 + 3.7 × 3.7 ? 

  1. 10
  2. 100
  3. 6.76
  4. 1

Answer (Detailed Solution Below)

Option 2 : 100

Decimals Question 4 Detailed Solution

Given:

6.3 × 6.3 + 2 × 6.3 × 3.7 + 3.7 × 3.7

Formula used:

(a + b)2 = a2 + 2ab + b2

Calculation:

6.3 × 6.3 + 2 × 6.3 × 3.7 + 3.7 × 3.7

⇒ (6.3 + 3.7)2

⇒ 102

⇒ 100

∴ The correct answer is option (2).

Decimals Question 5:

What value should come in the place of question mark (?) in the following equation?

(0.005 ÷ ?) (0.003 ÷ 0.03− (0.02 ÷ 0.20.1

  1. 0.5
  2. 0.05
  3. 0.001
  4. 0.005

Answer (Detailed Solution Below)

Option 2 : 0.05

Decimals Question 5 Detailed Solution

Given:

Equation: (0.005 ÷ ?) (0.003 ÷ 0.03− (0.02 ÷ 0.20.1

Calculation:

(0.005 ÷ ?) (0.003 ÷ 0.03− (0.02 ÷ 0.20.1

(0.005 ÷ ?) + 0.1 − 0.1 0.1

(0.005 ÷ ?) 0.1

0.005 ÷ 0.1

0.05

Option 2 is the correct answer.

Top Decimals MCQ Objective Questions

On simplification  reduces to

  1. 0.63
  2. 0.65
  3. 0.54
  4. None of these

Answer (Detailed Solution Below)

Option 1 : 0.63

Decimals Question 6 Detailed Solution

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Since,

a2 - b2 = (a - b) ( a + b)

⇒ 0.9 × 0.7 = 0.63

∴ Answer is 0.63

Solve:

(81.84 + 118.16) ÷ 53 = 1.2 × 2 + ?

  1. 0.8
  2. -0.8
  3. 0.6
  4. -0.6

Answer (Detailed Solution Below)

Option 2 : -0.8

Decimals Question 7 Detailed Solution

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Given expression,

(81.84 + 118.16) ÷ 53 = 1.2 × 2 + ?

⇒ 200 ÷ 53 = 1.2 × 2 + ?

⇒ 200 ÷ 125 = 1.2 × 2 +?

⇒ 1.6 = 2.4 + ?

⇒ ? = -0.8

Solve:

(?)3 × 10 = 13230 ÷ (9.261 ÷ 7)

  1. 10
  2. 25
  3. 125
  4. 0.5

Answer (Detailed Solution Below)

Option 1 : 10

Decimals Question 8 Detailed Solution

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Concept used:

Given expression is,

⇒ (?)3 × 10 = 13230 ÷ (9.261 ÷ 7)

⇒ (?)3 × 10 = 13230 ÷ (1.323)

⇒ (?)3 × 10 = 10000

⇒ (?)3 = 1000

⇒ (?)3 = (10)3

⇒ ? = 10

Answer (Detailed Solution Below)

Option 4 : 0.025

Decimals Question 9 Detailed Solution

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Mistake Points

In this type of question, in the numerator, there are 6.75 and 4.25, while in the denominator there is 67.5, and 42.5 is present in multiplication.

From the denominator, we can write 67.5 × 67.5 as 6.75 × 10 × 6.75 × 10 = 100 × (6.75), and similarly for other terms.

Therefore we take 100 as common from the denominator.

Identity used:

a3 - b3 = (a - b) (a2 + b2 + ab)

Calculation:

⇒ ? = 2.5/100

⇒ ? = 0.025

∴ ? = 0.025

What approximate value should come in place of question mark ‘?’ in the following question?

1132.757 – 2315.996 – 1753.829 + 2 × 2846.639 = ?

  1. 2746
  2. 2757
  3. 2656
  4. 2646
  5. None of these

Answer (Detailed Solution Below)

Option 2 : 2757

Decimals Question 10 Detailed Solution

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1132.757 – 2315.996 – 1753.829 + 2 × 2846.639

= 1133 – 2316 – 1754 + 5694

= (1133 + 5694) – (2316 + 1754 )

= 6827 – 4070

= 2757

Correct expression of

  1. 1/55
  2. 18/100
  3. 18/1000
  4. 1/66

Answer (Detailed Solution Below)

Option 1 : 1/55

Decimals Question 11 Detailed Solution

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Calculation:

Let x = 0.0181818....

⇒ 10x = 0.1818....      ----eq (1)

⇒ 1000x = 18.1818....      ----eq (2)

Now, eq (2) - eq (1)

⇒ 1000x - 10x = 18.1818... - 0.1818...

⇒ 990x = 18

⇒ x = 18/990

⇒ x = 1/55

∴ The fraction of  is 1/55

Shortcut Trick

">ab¯" role="presentation" style="display: inline; position: relative;" tabindex="0">

⇒ ">ab¯" role="presentation" style="display: inline; position: relative;" tabindex="0">

⇒ 2/110 = 1/55

∴ The fraction of  is 1/55.
">ab¯" role="presentation" style="display: inline; position: relative;" tabindex="0">ab" id="MathJax-Element-5-Frame" role="presentation" style="position: relative;" tabindex="0">abab = ab/99

What should come in place of question mark ‘?’ in the following question?

0.36 of 52.5 + ? of 35 = 57.4

  1. 1.01
  2. 1.21
  3. 1.16
  4. 1.10
  5. None of these

Answer (Detailed Solution Below)

Option 4 : 1.10

Decimals Question 12 Detailed Solution

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Calculations:

0.36 of 52.5 + ? of 35 = 57.4

⇒ 18.9 + ? of 35 = 57.4

⇒ ? of 35 = (57.4 − 18.9)

⇒ ? = 38.5/35 

⇒ ? = 1.1

Find the value of {(0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}

  1. 1.98
  2. 1.09
  3. 1.562
  4. 0

Answer (Detailed Solution Below)

Option 4 : 0

Decimals Question 13 Detailed Solution

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Given:

 {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}

Concept used:

(a + b)3 = a3 + b3 + 3ab(a + b)

Calculation:

{(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1

⇒ [(.98)3 + (0.02)3 + 3 × 0.98 × 0.02(0.98 + 0.02)} – 1]

Now, first term is of the form (a + b)3 where a = .98 and b = 0.02

⇒ (0.98 + 0.02)3 – 1 = 1 – 1 = 0

∴ The value is 0.

Find the value of (1.6)3 - (0.9)3 - (0.7)3.

  1. 3.024
  2. 3.24
  3. -3.24
  4. -3.024

Answer (Detailed Solution Below)

Option 1 : 3.024

Decimals Question 14 Detailed Solution

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Given:

The given expression = (1.6)3 - (0.9)3 - (0.7)3

Formula used:

If a + b + c = 0, then a3 + b3 + c3 = 3abc

Calculation:

(1.6)3 - (0.9)3 - (0.7)3

(1.6)3 + (- 0.9)3 + (- 0.7)3

= 3 × 1.6 × (- 0.9) × (- 0.7)  [∵ 1.6 - 0.9 - 0.7 = 0]

= 3.024

∴ The value of the given expression is 3.024

Simplify:

(9.6 × 3.6 ÷ 7.2 + 10.8 of  - ).

  1. 5.2
  2. 5.4
  3. 5.3
  4. 5

Answer (Detailed Solution Below)

Option 3 : 5.3

Decimals Question 15 Detailed Solution

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Concept used:

BODMAS 

Calculation:

(9.6 × 3.6 ÷ 7.2 + 10.8 of  - )

= (9.6 × 3.6 ÷ 7.2 + 0.6  - )

= (9.6 ×  + 0.6  - )

= (4.8 + 0.6  - )

= 5.3

Answer is 5.3

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