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)

(2, 4, 20)

(4, 5, 41)

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 4)

Answer 1

The pattern followed here is:

Logic: (1st number)² + (2nd number)² = Third number.

1) (2, 4, 20)

⇒ (2)² + (4)²

⇒ 4 + 16 = 20

And,

2) (4, 5, 41)

⇒ (4)2 + (5)2

⇒ 16 + 25 = 41

Let's check each option one by one.

Option 1) (9, 2, 86)

⇒ (9)2 + (2)2

⇒ 81 + 4 = 85 ≠ 86. (Incorrect)

Option 2) (4, 3, 25)

⇒ (4)2 + (3)2

⇒ 16 + 9 = 25 = 25. (Correct)

Option 3) (5, 3, 32)

⇒ (5)2 + (3)2

⇒ 25 + 9 = 34 ≠ 32. (Incorrect)

Option 4) (7, 3, 59)

⇒ (7)2 + (3)2

⇒ 49 + 9 = 58 ≠ 59. (Incorrect)

Hence, the correct answer is "Option 2".