Select the option in which the numbers are related in

Solution

The pattern followed here is: The square of 1st and 2nd digit of 1st number is added to obtain the 2nd number. Similarly, the square of 1st and 2nd digit of 2nd number is added to obtain the 3rd number. In (37, 58, 89), 1st number = 37, 2nd number = [3² + 7²] = [9 + 49] = 58, 3rd number = [5² + 8²] = [25 + 64] = 89 In option a, (45, 41, 19) 1st number = 45, 2nd number = [4² + 5²] = [16 + 25] = 41, 3rd number = [4² + 1²] = [16 + 1] = 17 In option b, (64, 54, 29) 1st number = 64, 2nd number = [6² + 4²] = [36 + 16] = 52, 3rd number = [5² + 2²] = [25 + 4] = 29 In option c, (28, 68, 100) 1st number = 28, 2nd number = [2² + 8²] = [4 + 64] = 68, 3rd number = [6² + 8²] = [36 + 64] = 100 In option d, (57, 76, 60) 1st number = 57, 2nd number = [5² + 7²] = [25 + 49] = 74, 3rd number = [7² + 4²] = [49 + 16] = 65 Clearly, only option 'c' follows the above pattern.