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).

(5 : 25 : 30)

(16 : 256 : 272)

Question

Question

This question was previously asked in

SSC CGL Tier II Memory Based Test (3rd March 2023)

Answer 1

The pattern followed here is:

Logic: First number : (First number)² : [(First number)² + First number]

1) (5 : 25 : 30)

⇒ 5 : (5)² : [(5)² + 5]

⇒ 5 : 25 : [ 25 + 5]

⇒ 5 : 25 : 30

And,

2) (16 : 256 : 272)

⇒ 16 : (16)2 : [(16)2 + 16]

⇒ 16 : 256 : [ 256 + 16]

⇒ 16 : 256 : 272

Similarly,

3) (13 : 169 : 182)

⇒ 13 : (13)2 : [(13)2 + 13]

⇒ 13 : 169 : [169 + 13]

⇒ 13 : 169 : 182

Hence, the correct answer is "(13 : 169 : 182)".