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)

(4, 14, 828)

(3, 10, 620)

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)

Answer 1

Given:

(4, 14, 828)

(3, 10, 620)

Logic: Third no. = [{(First no. × 100) + Second no.} × 2]

(4, 14, 828) →

⇒ [{(4 × 100) + 14} × 2]

⇒ [(400 + 14) × 2]

⇒ (414 × 2) = 828

(3, 10, 620) →

⇒ [{(3 × 100) + 10} × 2]

⇒ [(300 + 10) × 2]

⇒ (310 × 2) = 620

Checking all the given options:

1. (1, 10, 100)

⇒ [{(1 × 100) + 10} × 2]

⇒ [(100 + 10) × 2]

⇒ (110 × 2) = 220

2. (2, 50, 500)

⇒ [{(2 × 100) + 50} × 2]

⇒ [(200 + 50) × 2]

⇒ (250 × 2) = 500

3. (5, 10, 980)

⇒ [{(5 × 100) + 10} × 2]

⇒ [(500 + 10) × 2]

⇒ (510 × 2) = 1020

4. (4, 32, 98)

⇒ [{(4 × 100) + 32} × 2]

⇒ [(400 + 32) × 2]

⇒ (432 × 2) = 864

Here, (2, 50, 500) shows a similar relation to the given set of numbers.

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