The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is

First of all, we shall have to find the ratio among all 3 numbers. Now, we have the ratio between the 1^st and 2^nd number = 2 : 3 and the ratio between the 2^nd and 3^rd = 5 : 8 Therefore, the ratio among 3 numbers = 10 : 15 : 24 Now, the sum of ratio = 10 + 15 + 24 = 49 Therefore, the second number = 98 * (15/49) = 30 So, it is the correct answer.