Explanation:

Correct option is 3: 28:63

The pattern followed here is, Second number = (first number x 2) + (1/4th of first number)
Like 76 : 171
171 = (76 x 2) + 1/4 of 76
171 = 152 + 19
171 = 171
Similarly, 28 : 63
—. 63 = (28 x 2) + (1/4th of 28)
=> 56 + 7 = 63
=> 63 =63

and

62 : 135
135 = (62 x 2) + (1/4th of 62) = 124+ 15.5 = 139.5 not equal to 135

and
24 : 39
39 = (24 x 2) + (1/4th of 24) = 48 + 6 = 54 not equal to 39
52 : 115
115 = (52 x 2) + (1/4th of 52) = 104 + 13 = 117 not equal to 115

"28: 63"share the same relationship as that shared by the given pair of numbers. Hence, "28 :63a is the correct answer.