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)

(5, 7, 140)

(6, 4, 96)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. (7, 3, 63)
  2. (5, 14, 210)
  3. (9, 2, 72)
  4. (6, 7, 126)

Answer (Detailed Solution Below)

Option 3 : (9, 2, 72)
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Detailed Solution

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Given:

(5, 7, 140)

(6, 4, 96)

Logic: Third no. = [(First no.) × (Second no.) × 4]

(5, 7, 140) →

⇒ [5 × 7 × 4]

⇒ (35 × 4) = 140

(6, 4, 96) →

⇒ [6 × 4 × 4]

⇒ (24 × 4) = 96

Checking all the given options:

1. (7, 3, 63) →

⇒ [7 × 3 × 4]

⇒ (21 × 4) = 84

2. (5, 14, 210) →

⇒ [5 × 14 × 4]

⇒ (70 × 4) = 280

3. (9, 2, 72) →

⇒ [9 × 2 × 4]

⇒ (18 × 4) = 72

4. (6, 7, 126) →

⇒ [6 × 7 × 4]

⇒ (42 × 4) = 168

Here, (9, 2, 72) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (3)".

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