The value of \(\left(2 \frac{1}{2}+1 \frac{3}{4}-\frac{1}{6}\right) \times 16 \div 49\) is:

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. \( \frac{4}{7}\)
  2. \(\frac{3}{9} \)
  3. \( 1 \frac{1}{3} \)
  4. \(2 \frac{3}{4}\)

Answer (Detailed Solution Below)

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

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Given: 

\(\left(2 \frac{1}{2}+1 \frac{3}{4}-\frac{1}{6}\right) × 16 ÷ 49\) is,

Concept used:

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Calculation:

⇒ (5/2 + 7/4 - 1/6) × 16 ÷ 49 

⇒ ((30 + 21 -2) / 12) × 16 ÷ 49 

⇒ (49 / 12) × 16 ÷ 49

⇒ 49 / 12 × 16 / 49

⇒ 16 / 12 

⇒ 4 / 3

 ⇒ \(1 \frac{1}{3}\)

∴ The correct answer is \(1 \frac{1}{3}\).

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