Simplify the following expression.

\([\frac{85}{34}\times \frac{1}{18}- \{(\frac{46}{69}\div\frac{27}{135})-(\frac{86}{129}\div\frac{14}{91})\}\ of \frac{112}{36}]\)

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 3)
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  1. \(3 \frac{1}{5} \)
  2. \(3 \frac{3}{4} \)
  3. \(3 \frac{1}{2} \)
  4. \( 3 \frac{1}{4} \)

Answer (Detailed Solution Below)

Option 4 : \( 3 \frac{1}{4} \)
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Detailed Solution

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Given :

\([\frac{85}{34}\times \frac{1}{18}- \{(\frac{46}{69}\div\frac{27}{135})-(\frac{86}{129}\div\frac{14}{91})\}\ of \frac{112}{36}]\)

BODMAS Rule:

BODMAS

Calculation :

\([\frac{85}{34}\times \frac{1}{18}- \{(\frac{46}{69}\div\frac{27}{135})-(\frac{86}{129}\div\frac{14}{91})\}\ of \frac{112}{36}]\)

⇒ [5/2 × 1/18 - {(2/3 × 5) - (2/3 × 13/2)} × 28/9

⇒ [5/36 - {-1} × 28/9

⇒ [5/36 + 28/9

⇒ (5 + 112)/36

117/36

⇒ 13/4

∴ The answer is 3(1/4).

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