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.)

(2, 125, 3)

(1, 64, 3)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 2)
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  1. (2, 100, 8)
  2. (5, 512, 3)
  3. (12, 50, 13)
  4. (4, 341, 3)

Answer (Detailed Solution Below)

Option 2 : (5, 512, 3)
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Detailed Solution

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The pattern followed here is:

Logic: (First number + Third number)3 = Second number.

1) (2, 125, 3)

⇒ (2 + 3)3 ⇒ (5)3 = 125

And,

2) (1, 64, 3)

⇒ (1 + 3)3 ⇒ (4)3 = 64

Let's check each option one by one:

Option 1) (2, 100, 8)

⇒ (2 + 8) 3 ⇒ (10)3 = 1000 ≠ 100 (Incorrect)

Option 2) (5, 512, 3)

⇒ (5 + 3)3 ⇒ (8)3 = 512 (Correct)

Option 3) (12, 50, 13)

⇒ (12 + 13)3 ⇒ (25)3 = 15625 ≠ 50 (Incorrect)

Option 4) (4, 341, 3)

⇒ (4 + 3)3 ⇒ (7)3 = 343 ≠ 341 (Incorrect)

Hence, the correct answer is "(5, 512, 3)"

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