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)

(4, 21, 33)

(10, 111, 141)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 4)
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  1. (13, 45, 97)
  2. (25, 53, 128)
  3. (65, 60, 244)
  4. (24, 52, 128)

Answer (Detailed Solution Below)

Option 2 : (25, 53, 128)
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Detailed Solution

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The pattern followed here is:

Logic: (Third number - Second number) ÷ 3 = First number.

In (4, 21, 33) →

⇒ (33 - 21) ÷ 3

⇒ 12 ÷ 3 = 4

In (10, 111, 141)

⇒ (111 - 141) ÷ 3

⇒ 30 ÷ 3 = 10

Let's check each option one by one:

Option 1) (13, 45, 97)

⇒ (97 - 45) ÷ 3

⇒ 52 ÷ 3 = 17.33 ≠ 13. (Incorrect)

Option 2) (25, 53, 128)

⇒ (128 - 53) ÷ 3

⇒ 75 ÷ 3 = 25 = 25. (Correct)

Option 3) (65, 60, 244)

⇒ (244 - 60) ÷ 3

⇒ 184 ÷ 3 = 61.33 ≠ 65. (Incorrect)

Option 4) (24, 52, 128)

⇒ (128 - 52) ÷ 3

⇒ 76 ÷ 3 = 25.33 ≠ 24. (Incorrect)

Hence, the correct answer is "(25, 53, 128)".

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