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

Last updated on Jun 3, 2025

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler. Make simplification even more simple by practising these Simplification MCQs Quiz with Testbook. Get solutions and explanations to the solutions of the given questions. Estimate your preparation level with these Simplification objective questions. Also, get tips and tricks to improve your speed and accuracy while solving these Simplification question answers!

Latest Simplification MCQ Objective Questions

Simplification 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

Simplification 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.

Simplification Question 2:

Given that 420.66 = x, 420.65= y and xz = y4 , then the value of z is close to: 

  1. 3.94
  2. 4.92
  3. 4.81
  4. 2.04
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : 3.94

Simplification Question 2 Detailed Solution

Given:

420.66 = x, 420.65 = y, and xz = y4

Calculation:

Express x and y in terms of 42:

x = 420.66

y = 420.65

Substitute x and y into the given equation xz = y4:

(420.66)z = (420.65)4

Simplify the exponents:

420.66z = 422.6

Equate the powers of 42:

0.66z = 2.6

Solve for z:

z = 2.6 / 0.66

z ≈ 3.94

The value of z is approximately 3.94.

Simplification Question 3:

Find the value of given expression 

  1. 20
  2. 36
  3. 25
  4. 32
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 25

Simplification Question 3 Detailed Solution

Given:

Formula used:

Basic arithmetic operations

Calculation:

⇒11/2 + 3 + 8/3 + 15/2 + 19/3

⇒ (11 × 3 + 3 × 6 + 8 × 2 + 15 × 3 + 19 × 2) / 6

⇒ (33 + 18 + 16 + 45 + 38) / 6

⇒ 150 / 6 = 25

∴ The correct answer is option (3).

Simplification Question 4:

Find the value of

  1. 432
  2. 447
  3. 434
  4. 429
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : 429

Simplification Question 4 Detailed Solution

Given:

Expression: [(91 ÷ 7) × {(64 ÷ 4) + (17 ÷ 6) × (8 - 2)}]

Formula Used:

Order of operations (BODMAS): Solve inside brackets first, then division/multiplication, and finally addition/subtraction.

Calculation:

⇒ [(91 ÷ 7) × {(64 ÷ 4) + (17 ÷ 6) × (8 - 2)}]

⇒ (13) × {(16) + (17 ÷ 6) × (6)}

⇒ (13) × {16 + (17 × 6 ÷ 6)}

⇒ (13) × {16 + 17}

⇒ 13 × 33

⇒ 429

∴ The value of [(91 ÷ 7) × {(64 ÷ 4) + (17 ÷ 6) × (8 - 2)}] is 429.

Simplification Question 5:

Simplify the following: 

  1. None of the above

Answer (Detailed Solution Below)

Option 3 :

Simplification Question 5 Detailed Solution

Given :

Formula used:

am × an = am + n

am ÷ an = am - n

Calculation :

⇒  

⇒ 

⇒  

⇒  = 

∴ The answer is  .

Top Simplification MCQ Objective Questions

Which of the following number is largest among all?

  1. 0.7

Answer (Detailed Solution Below)

Option 4 :

Simplification Question 6 Detailed Solution

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Concebt used

a.b̅ = a.bbbbbb

a.0b̅ = a.0bbbb

Calculation

0.7 = 0.700000 ̇....

Now, 0.7777…  or  is largest among all.

What is the value of 

  1. 36
  2. 37
  3. 39
  4. 38

Answer (Detailed Solution Below)

Option 2 : 37

Simplification Question 7 Detailed Solution

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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

What will come in the place of question mark (?) in the following question?

  1. 3
  2. 7
  3. 6
  4. 8
  5. 9

Answer (Detailed Solution Below)

Option 5 : 9

Simplification Question 8 Detailed Solution

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Solution:

We have to follow the BODMAS rule

Calculation:

 

⇒ ? = 32

∴ ? = 9

What is the square root of (8 + 2√15)?

  1. √5 + √3
  2. 2√2 + 2√6
  3. 2√5 + 2√3
  4. √2 + √6

Answer (Detailed Solution Below)

Option 1 : √5 + √3

Simplification Question 9 Detailed Solution

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Formula used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

Given expression is:

⇒  

⇒  

⇒  

⇒  

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

Simplification Question 10 Detailed Solution

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Since,

a2 - b2 = (a - b) ( a + b)

⇒ 0.9 × 0.7 = 0.63

∴ Answer is 0.63

The square root of ((10 + √25)(12 – √49)) is:

  1. 4√3 
  2. 3√3
  3. 5√3
  4. 2√3

Answer (Detailed Solution Below)

Option 3 : 5√3

Simplification Question 11 Detailed Solution

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Concept:

We can find √x using the factorisation method.

Calculation:

√[(10 + √25) (12 - √49)]

⇒ √[(10 + 5)(12 – 7)]

⇒ √(15 × 5)

⇒ √(3 × 5 × 5)

⇒ 5√3

Find the value of x:

23 × 34 × 1080 ÷ 15 = 6x

  1. 4
  2. 6
  3. 8
  4. 2

Answer (Detailed Solution Below)

Option 2 : 6

Simplification Question 12 Detailed Solution

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Given,

23 × 34 × 1080 ÷ 15 = 6x

⇒ 23 × 34 × 72 = 6x

⇒ 23 × 34 × (2 × 62) = 6x

⇒ 24 × 34 × 62 = 6x

⇒ (2 × 3)4 × 62 = 6x           [∵ xm × ym = (xy)m]

⇒ 64 × 62 = 6x

⇒ 6(4 + 2) = 6x

⇒ x = 6

If √3n = 729, then the value of n is equal to:

  1. 6
  2. 8
  3. 12
  4. 9

Answer (Detailed Solution Below)

Option 3 : 12

Simplification Question 13 Detailed Solution

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Given:

√3n = 729

Formulas used:

(xa)b = xab

If xa = xb then a = b 

Calculation:

√3n = 729

⇒ √3n = (32)3

⇒ (3n)1/2 = (32)3

⇒ (3n)1/2 = 36

⇒ n/2 = 6 

∴  n = 12 

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

Simplification Question 14 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

Answer (Detailed Solution Below)

Option 3 :

Simplification Question 15 Detailed Solution

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