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 If 'x' is divisible by 3 and 2, then 2x3 + 3x2 is divisible by :

This question was previously asked in
SSC GD Constable (2022) Official Paper (Held On : 07 Feb 2023 Shift 4)
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  1. 428
  2. 214
  3. 72
  4. 108

Answer (Detailed Solution Below)

Option 4 : 108
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Detailed Solution

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Given

'x' is divisible by 2 and 3

Calculation:

If x is divisible by 3, 2 then LCM is 6.

The expression is 2x3 + 3x2 = 2 × 216 + 3 × 36 = 412 + 108 = 540

As 540 is divisible by 108, 2x3 + 3x2 is divisible by 108.

Therefore, 2x3 + 3x2 is divisible by 108.

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Latest SSC GD Constable Updates

Last updated on Jul 7, 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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