If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 2)
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  1. a = 24; c = 374
  2. a = 32; c = 288
  3. a = 48; c = 168
  4. a = 16; c = 586

Answer (Detailed Solution Below)

Option 2 : a = 32; c = 288
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given :- 

a : b :: b : c, and b = 96 

Formula used:-

a/b = b/c 

⇒  b2  = ac 

Calculation:-

b2  = ac

Put the value of b in the above equation 

We get, 

⇒ 96 × 96 = ac 

According to the question, only one option satisfies
the above equation where a  = 32 , c = 288  

∴ The required answer is a  = 32 , c = 288.
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