If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c + d))/((a + b) + (c – d)) would be:

Question

If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c + d))/((a + b) + (c &ndash; d)) would be:

Accepted Answer

51 — Let a + b + c = X We need to find the maximum value of: X + d X - d = ( X - d ) + 2 d X - d = 1 + 2 d X - d 2 d X - d is maximum when d is maximum and X is minimum possible. &there4; d = 25 and X = 26 The highest possible value of the given expression = 1 + (2 &times; 25) = 51 Hence, option (c).

XAT 2015 — QA & DI Question 14

Answer & solution