Question

Select the set in which the numbers are related in the same way as the numbers of the following set.

(12, 51, 159)

1. (8, 35, 111)
2. (5, 17, 99)
3. (13, 55, 223)
4. (25, 101, 297)

Answer 1

Correct Answer - Option 1 : (8, 35, 111)

The logic followed is:-

Second number = First number × 4 + 3

Third number = Second number × 3 + 6

The given set is (12, 51, 159)

Second number = First number × 4 + 3

= 12 × 4 + 3

= 48 + 3

= 51

Third number = Second number × 3 + 6

= 51 × 3 + 6

= 153 + 6

= 159

Checking the options:-

1) (8, 35, 111)

Second number = First number × 4 + 3

= 8 × 4 + 3

= 32 + 3

= 35

Third number = Second number × 3 + 6

= 35 × 3 + 6

= 105 + 6

= 111

2) (5, 17, 99)

Second number = First number × 4 + 3

= 5 × 4 + 3

= 20 + 3

= 23 ≠ 17

3) (13, 55, 223)

Second number = First number × 4 + 3

= 13 × 4 + 3

= 52 + 3

= 55

Third number = Second number × 3 + 6

= 55 × 3 + 6

= 165 + 6

= 171 ≠ 223

4) (25, 101, 297)

Second number = First number × 4 + 3

= 25 × 4 + 3

= 100 + 3

= 103 ≠ 101

Hence, the correct answer is "(8, 35, 111)".