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)

(6, 14, 40)

(10, 14, 48)

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. (11, 5, 87)
  2. (5, 9, 28)
  3. (5, 6, 45)
  4. (10, 5, 91)

Answer (Detailed Solution Below)

Option 2 : (5, 9, 28)
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Detailed Solution

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Given:

(6, 14, 40)

(10, 14, 48)

Logic: [{(First no.) + (Second no.)} × 2]

(6, 14, 40) 

⇒ [(6 + 14) × 2]

⇒ (20 × 2) = 40

(10, 14, 48) 

⇒ [(10 + 14) × 2]

⇒ (24 × 2) = 48

Checking all the given options:

1. (11, 5, 87) →

⇒ [(11 + 5) × 2]

⇒ (16 × 2) = 32

2. (5, 9, 28) →

⇒ [(5 + 9) × 2]

⇒ (14 × 2) = 28

3. (5, 6, 45) →

⇒ [(5 + 6) × 2]

⇒ (11 × 2) = 22

4. (10, 5, 91) →

⇒ [(10 + 5) × 2]

⇒ (12 × 2) = 30

Here, (5, 9, 28) shows a similar relation to the given set of numbers.

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

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