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

Given:

60 + 51 + 90 + 21

Calculation:

Perform the addition

60 + 51 = 111

111 + 90 = 201

201 + 21 = 222

∴ The result is: 222

Given:

160 × 8 ÷ √100

Calculation:

√100 = 10

Now, 160 × 8 ÷ √100

160 × 8 ÷ 10 = 160 × 0.8 = 128

∴ The result is: 128

Given:

√625 + √4 - √400

Calculation:

The square roots

√625 = 25

√4 = 2

√400 = 20

Now, √625 + √4 - √400

⇒ 25 + 2 - 20 = 7

∴ The result is: 7

Given:

Three times a certain number equals 145

Calculation:

Let the number be x.

3 × x = 145

⇒ x = 145 / 3

⇒ x = 48.33

∴ The number is: 48.33

Given:

Percentage = 67%

Value = 200

Formula used:

Value = (Percentage × Total) / 100

Calculation:

⇒ Value = (67 × 200) / 100

⇒ Value = 13400 / 100

⇒ Value = 134

∴ 67% of 200 is: 134

Concebt used

a.b̅ = a.bbbbbb

a.0b̅ = a.0bbbb

Calculation

0.7 = 0.700000 ̇....

Now, 0.7777…  or  is largest among all.

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

Solution:

We have to follow the BODMAS rule

Calculation:

⇒ ? = 3²

∴ ? = 9

Formula used:

(a + b)² = a² + b² + 2ab

Calculation:

Given expression is:

⇒  

⇒  

⇒  

⇒  

Since,

a2 - b2 = (a - b) ( a + b)

⇒ 0.9 × 0.7 = 0.63

∴ Answer is 0.63

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

Given,

2³ × 3⁴ × 1080 ÷ 15 = 6^x

⇒ 2³ × 3⁴ × 72 = 6^x

⇒ 2³ × 3⁴ × (2 × 6²) = 6^x

⇒ 2⁴ × 3⁴ × 6² = 6^x

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

⇒ 6⁴ × 6² = 6^x

⇒ 6^{(4 + 2)} = 6^x

⇒ x = 6

Given:

√3n = 729

Formulas used:

(x^a)^b = x^ab

If x^a = x^b then a = b 

Calculation:

√3n = 729

⇒ √3n = (3²)³

⇒ (3n)^1/2 = (32)3

⇒ (3n)1/2 = 3⁶

⇒ n/2 = 6 

∴  n = 12 

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