Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(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)

(5, 30, 60)

(11, 66, 132) 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. (6, 42, 148) 
  2. (14, 84, 168) 
  3. (14, 16, 118) 
  4. (2, 10, 16) 

Answer (Detailed Solution Below)

Option 2 : (14, 84, 168) 
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Detailed Solution

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Given:

(5, 30, 60)

(11, 66, 132)

Logic: Third no. = [{(First no.) × 6} + (Second no.)]

(5, 30, 60) →

⇒ [(5 × 6) + 30]

⇒ (30 + 30) = 60

(11, 66, 132) →

⇒ [(11 × 6) + 66]

⇒ (66 + 66) = 132

Checking all the given options:

1. (6, 42, 148) →

⇒ [(6 × 6) + 42]

⇒ (36 + 42) = 78

2. (14, 84, 168) →

⇒ [(14 × 6) + 84]

⇒ (84 + 84) = 168

3. (14, 16, 118) →

⇒ [(14 × 6) + 16]

⇒ (84 + 16) = 100

4. (2, 10, 16) →

⇒ [(2 × 6) + 10]

⇒ (12 + 10) = 22

Here, (14, 84, 168) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (2)".

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