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)

(39, 65), (63, 105)

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)

Answer 1

The logic follows here is:

Logic: (1st number × 2) - (1st number ÷ 3) = 2nd number.

Now,

(39, 65)

→ (39 × 2) - (39 ÷ 3)

→ 78 - 13 = 65

(63, 105)

→ (63 × 2) - (63 ÷ 3)

→ 126 - 21 = 105

Similarly, for (96, 160)

→ (96 × 2) - (96 ÷ 3)

→ 192 - 32 = 160.

Hence, the correct answer is "Option 2".

Alternate Method

The logic followed here is: (Number × 3, Number × 5)

Now,

Option 1) (66, 165)

22 × 3 = 66

22 × 5 = 110

Option 2) (96, 160)

32 × 3 = 96

32 × 5 = 160

Option 3) (72, 180)

24 × 3 = 72

24 × 5 = 120

Option 4) (84, 155)

28 × 3 = 84

28 × 5 = 140

So, (96, 160) follows the logic.

Hence, the correct answer is 'Option 2'.