Question

Select the option in which the number share the same relationship as that shared by the given set of numbers.

(6, 39, 124)

1. (5, 38, 121)
2. (9, 34, 235)
3. (8, 53, 166)
4. (7, 14, 101)

Answer 1

Correct Answer - Option 3 : (8, 53, 166)

The pattern followed is:-

Second Number = First Number × 7 - 3

Third Number = Second Number × 3 + 7

The given set is (6, 39, 124)

First Number = 6

Second Number = First Number × 7 - 3

= 6 × 7 - 3

= 42 - 3

= 39 = 39

Third Number = Second Number × 3 + 7

= 39 × 3 + 7

= 117 + 7

= 124 = 124

Checking the options:

1) (5, 38, 121)

First Number = 5

Second Number = First number × 7 - 3

= 5 × 7 - 3

= 35 - 3

= 32 ≠ 38

Third Number = Second Number × 3 + 7

= 38 × 3 + 7

= 117 + 7

= 124 ≠ 121

2) (9, 34, 235)

First Number = 9

Second number = First Number × 7 - 3

= 9 × 7 - 3

= 63 - 3

= 60 ≠ 34

Third Number = Second Number × 3 + 7

= 34 × 3 + 7

= 102 + 7

= 109 ≠ 235

3) (8, 53, 166)

First Number = 8

Second Number = First Number × 7 - 3

= 8 × 7 - 3

= 56 - 3

= 53 = 53

Third number = Second Number × 3 + 7

= 53 × 3 + 7

= 159 + 7

= 166 = 166

4) (7, 14, 101)

First Number = 7

Second number = First Number × 7 - 3

= 7 × 7 - 3

= 49 - 3

= 46 ≠ 14

Third Number = Second Number × 3 + 7

= 14 × 3 + 7 

= 42 + 7

= 49 ≠ 101

Hence, the correct answer is "(8, 53, 166)".