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

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers Into Its constituent digits. For 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.) 

(24, 3, 10)

(144, 9, 18)

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. (54, 9, 4) 
  2. (156, 8, 19) 
  3. (72, 8, 9) 
  4. (133, 7, 21) 

Answer (Detailed Solution Below)

Option 4 : (133, 7, 21) 
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Detailed Solution

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Given:

(24, 3, 10)

(144, 9, 18)

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

(24, 3, 10) →

⇒ [3 × (10 - 2)]

⇒ (3 × 8) = 24

(144, 9, 18) →

⇒ [9 × (18 - 2)]

⇒ (9 × 16) = 144

Checking all the given options:

1. (54, 9, 4) →

⇒ [9 × (4 - 2)]

⇒ (9 × 2) = 18

2. (156, 8, 19) →

⇒ [8 × (19 - 2)]

⇒ (8 × 17) = 136

3. (72, 8, 9) →

⇒ [8 × (9 - 2)]

⇒ (8 × 7) = 56

4. (133, 7, 21) →

⇒ [7 × (21 - 2)]

⇒ (7 × 19) = 133

Here, (133, 7, 21) shows a similar relation to the given set of numbers.

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

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