Approximation Test-6 (Approximation of decimal figures)

Answer: Option E

Explanation

Given,

(56)²×2.5385=?

It can also be approximated as

= 56×56×2.5385=?

= 56×56×3

= 56×168

= 9408

Hence, Option E is correct.

Answer: Option C

Explanation

Given,

${\left(12.51\right)}^4$=?

It can also be approximated as

= ${\left(12.5\right)}^2\times {\left(12.5\right)}^2$

= 15625×156.25

= 24500

Hence, Option C is correct.

Answer: Option D

Explanation

Given,

$\sqrt{888888}1.486=?$

It can also be approximated as

$$\begin{gathered} = \sqrt{900000}÷1.5=? \\ = \sqrt{90\times 100\times 100}\times 1.5 \end{gathered}$$

= 9.5×10×10×1.5

= 950×1.5

= 1425 ≈ 1400

Hence, Option D is correct.

Answer: Option E

Explanation

Given,

564.666+82.5091×44.581-34.111=?

It can also be approximated as

565+83×44-34=?

= 565+3652-34

= 565+3600

= 4165 ≈ 4210

Hence, Option E is correct.

Answer: Option A

Explanation

Given,

$\left(\sqrt{7921}-\sqrt{2070.25}\right)\times \frac{1}{4}=?$

It can also be approximated as

$$\begin{gathered} = \left(\sqrt{7921}-\sqrt{2025}\right)\times \frac{1}{4}=? \\ =(89-45)\times \frac{1}{4} \\ = 44\times \frac{1}{4} \\ =11 \end{gathered}$$

Hence, Option A is correct.