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Simplify the expression

2 ÷ \(\frac{5}{7}\) of (7 + 9 × 2) + (15/6 ÷ 5/18 - 24/12)

This question was previously asked in
SSC GD Constable (2022) Official Paper (Held On : 27 Jan 2023 Shift 1)
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  1. \(\frac{47}{125}\)
  2. \(\frac{166}{7}\)
  3. \(\frac{889}{125}\)
  4. \(\frac{146}{7}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{889}{125}\)
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Detailed Solution

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Given:

2 ÷ 5/7 of (7 + 9 × 2) + (15/6 ÷ 5/18 - 24/12)

Concept:

Follow order of operations (BIDMAS/BODMAS): Brackets, Indices/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Solution:

2 ÷ 5/7 of (7 + 9 × 2) + (15/6 ÷ 5/18 - 24/12)

⇒ 2 ÷ 5/7 of (7 + 18) + (15/6 × 18/5 - 24/12)

⇒ 2 ÷ 5/7 × 25 + (9 - 24/12)

⇒ 2 ÷ 125/7 + 7

⇒ 2 × 7/125 + 7

⇒ 14/125 + 7 = 889/125

∴ The simplified value of the given expression is approximately 889/125.

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Latest SSC GD Constable Updates

Last updated on Jul 8, 2025

-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.

-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.

-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies. 

-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.

-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.

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