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. 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)

(36, 6, 18)

(35, 5, 21)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)
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  1. (49, 7, 21)
  2. (63, 7, 98)
  3. (100, 5, 40)
  4. (76, 13, 5)

Answer (Detailed Solution Below)

Option 1 : (49, 7, 21)
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Detailed Solution

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Given:

(36, 6, 18)

(35, 5, 21)

Logic: Third no. = [(First no. ÷ Second no.) × 3]

(36, 6, 18) →

⇒[(36 ÷ 6) × 3]

⇒ (6 × 3) = 18

(35, 5, 21) →

⇒[(35 ÷ 5) × 3]

⇒ (7 × 3) = 21

Checking all the given options:

1. (49, 7, 21) →

⇒[(49 ÷ 7) × 3]

⇒ (7 × 3) = 21

2. (63, 7, 98) →

⇒[(63 ÷ 7) × 3]

⇒ (9 × 3) = 27

3. (100, 5, 40) →

⇒[(100 ÷ 5) × 3]

⇒ (20 × 3) = 60

4. (76, 13, 5) →

⇒[(76 ÷ 13) × 3]

⇒ (5.84 × 3) = 17.53

Here, (49, 7, 21) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (1)".

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