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)

(34, 12, 10)

(56, 17, 22)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 4)
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  1. (56, 19, 8)
  2. (46, 19, 8)
  3. (46, 19, 18)
  4. (46, 49, 8)

Answer (Detailed Solution Below)

Option 2 : (46, 19, 8)
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Detailed Solution

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Given:

(34, 12, 10)

(56, 17, 22)

Logic: First no. = [(Second no. × 2) + Third no.]

(34, 12, 10) 

⇒ [(12 × 2) + 10]

⇒ (24 + 10) = 34

(56, 17, 22) 

⇒ [(17 × 2) + 22]

⇒ (34 + 22) = 56

Checking all the given options:

1. (56, 19, 8)

⇒ [(19 × 2) + 8]

⇒ (38 + 8) = 46

2. (46, 19, 8)

⇒ [(19 × 2) + 8]

⇒ (38 + 8) = 46

3. (46, 19, 18)

⇒ [(19 × 2) + 18]

⇒ (38 + 18) = 56

4. (46, 49, 8)

⇒ [(49 × 2) + 8]

⇒ (98 + 8) = 106

Here, (46, 19, 8) shows a similar relation to the given set of numbers.

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

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