Select the set In which the numbers are related In the same way as are the numbers of the following set.

(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers Into Its constituent digits. E.g. 13 — Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)

(47, 108, 169)

(22, 83, 144) 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. (11, 73, 133) 
  2. (51, 112, 173) 
  3. (33, 121, 181) 
  4. (8, 64, 130)  

Answer (Detailed Solution Below)

Option 2 : (51, 112, 173) 
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Detailed Solution

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The logic followed here is:

Logic: (2nd number × 2) - 1st number = 3rd number.

(47, 108, 169)

⇒ (108 × 2) - 47

⇒ 216 - 47 = 169.

(22, 83, 144) 

⇒ (83 × 2) - 22

⇒ 166 - 22 = 144.

Similarly, (51, 112, 173) 

⇒ (112 × 2) - 51

⇒ 224 - 51 = 173.

Hence, the correct answer is "Option 2".

Alternate Method

The logic followed here is :-

Second number = First number + 61 

Third number = First number + 122

  • (47, 108, 169) → (47, 47 + 61, 47 + 122)

and

  • (22, 83, 144) → (22, 22 + 61, 22 + 122)

Similarly,

  • (51, 112, 173) → (51, 51 + 61, 51 + 122)

Hence, the correct answer is "(51, 112, 173)".

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