If  and a + b = 5c, where c > 0, then the value of c is ________________.

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. 4
  2. 12
  3. 5

Answer (Detailed Solution Below)

Option 1 : 8 
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given :

Formula used :

(a + b - c)2 = a2 + b2 + c2 + 2ab - 2bc - 2ca 

Calculations :

According to the question 

 = - 2

⇒   a2 + b2 + c2 - 1024 = -2ab + 2bc + 2ca

⇒ a2 + b2 + c2 + 2ab - 2bc - 2ca  = 1024

⇒ (a + b - c)2 = 1024

⇒ a + b - c = 32

Put a + b = 5c

⇒ 5c - c = 32

⇒ 4c = 32

c = 8

∴ Option 1 is the correct choice.  

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