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)

(10, 5, 65)

(9, 8, 89)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)
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  1. (12, 5, 89)
  2. (11, 10, 128)
  3. (4, 5, 29)
  4. (8, 7, 98)

Answer (Detailed Solution Below)

Option 3 : (4, 5, 29)
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Detailed Solution

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Given:

(10, 5, 65)

(9, 8, 89)

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

(10, 5, 65) →

⇒ [(10 × 5) + (10 + 5)]

⇒ (50 + 15) = 65

(9, 8, 89) →

⇒ [(9 × 8) + (9 + 8)]

⇒ (72 + 17) = 89

Checking all the given options:

1. (12, 5, 89)

⇒ [(12 × 5) + (12 + 5)]

⇒ (60 + 17) = 77

2. (11, 10, 128)

⇒ [(11 × 10) + (11 + 10)]

⇒ (110 + 21) = 131

3. (4, 5, 29)

⇒ [(4 × 5) + (4 + 5)]

⇒ (20 + 9) = 29

4. (8, 7, 98)

⇒ [(8 × 7) + (8 + 7)]

⇒ (56 + 15) = 71

Here, (4, 5, 29) shows a similar relation to the given set of numbers.

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

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