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