A. 205
B. 188
C. 175
D. 168
E. 150

Answer: D

Explanation:
Given that, “m” and “n” are integers,
So, let rewrite the inequality according to the maximum and minimum integer value of “m” and “n”

14≤m≤24 and-2≤ n≤9

To find the Range of “m*n”, we need to check product of all the extremes,
In this question,
If m = 14 and n = -2, then m*n = -28
If m = 14 and n = 9, then m*n = 126
If m = 24 and n = -2, then m*n = -48
If m = 24 and n = 9, then m*n = 216

From the above four values, least value of “m*n” is -48 and the greatest value is 216.
Sum of maximum value and Minimum value = 216 + (-48) = 168.

Hence the answer is D.

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