Which of the following represents the closest approximate value that should come in place of the question mark (?) in the following equation?

(\(\sqrt{360}\) + 12 ÷ 6 × 3 -\(\sqrt{170}\)) ÷ 2 = ?

This question was previously asked in
RRB Group D 22 Aug 2022 Shift 1 Official Paper
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  1. 6
  2. 4
  3. 8
  4. 5

Answer (Detailed Solution Below)

Option 1 : 6
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Detailed Solution

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Concept Used:

qImage16007

Calculation:

As, \(\sqrt{360}\) = 18.97 and \(\sqrt{170}\) = 13.03

Here, we have 

\(\sqrt{360}\) + 12 ÷ 6 × 3 \(\sqrt{170}\) )÷ 2

(18.97 + 12 ÷ 6 ×3 - 13.03) ÷ 2  

(18.97 + 2 × 3 - 13.03 ) ÷ 2

( 18.97 + 6 - 13.03 ) ÷ 2 

( 24.97 - 13.03) ÷ 2

⇒ 11.94 ÷ 2 = 5.97 ≈ 6

Hence, the required approximate value is 6 .

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