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)

(8, 388, 18)

(11, 137, 4) 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. (15, 230, 2) 
  2. (3, 51, 7) 
  3. (10, 118, 9) 
  4. (14, 221, 5)  

Answer (Detailed Solution Below)

Option 4 : (14, 221, 5)  
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Detailed Solution

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Given:

(8, 388, 18)

(11, 137, 4)

Logic: Second no. = [(First no.)2 +(Third no.)2]

(8, 388, 18) →

⇒ [(8)2 + (18)2]

⇒ (64 + 324) = 388

(11, 137, 4) →

⇒ [(11)2 + (4)2]

⇒ (121 + 16) = 137

Checking all the given options:

1. (15, 230, 2) →

⇒ [(15)2 + (2)2]

⇒ (225 + 4) = 229

2. (3, 51, 7) →

⇒ [(3)2 + (7)2]

⇒ (9 + 49) = 58

3. (10, 118, 9) →

⇒ [(10)2 + (9)2]

⇒ (100 + 81) = 181

4. (14, 221, 5) →

⇒ [(14)2 + (5)2]

⇒ (196 + 25) = 221

Here, (14, 221, 5) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (4)".

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