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If [(216)4 ÷ 364] × 65 = 6m then m = ?

This question was previously asked in
Agniveer Vayu Other than Science (Group Y) 19 Jan 2023 Memory-Based Paper
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  1. 13
  2. 11
  3. 10
  4. 9

Answer (Detailed Solution Below)

Option 4 : 9
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Detailed Solution

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Formula used:

  1. (am)n = amn
  2. am × an = am+n
  3. am/an = am-n

Calculation:

[(216)4 ÷ 364] × 65 = 6m

⇒ [(63)4 ÷ (62)4] × 65 = 6m

By using the above properties

⇒ [(612-8] × 65 = 6m

⇒ 64 × 65 = 6m

⇒ 69 = 6m

∴ m = 9

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Latest Airforce Group Y Updates

Last updated on Jul 11, 2025

-> The Indian Airforce Group Y (02/2026) Online Form Link has been released.

-> The IAF Group Y application can be submitted online till 31st July 2025.

-> Candidates will be selected on the basis of their performance in these three-stage processes including an Online Written Test, a Physical Fitness Test & Adaptability Test, and a Medical Examination. 

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