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Suppose m, n are positive integers such that `6^(m) + 2^(m+n) 3^(w) + 2^(n) = 332`. The value of the expression `m^(2) + nm + n^(2)` is -(A) 7 (B) 13 (C) 19 (D) 21A. `7`B. `13`C. `19`D. `21` |
Answer» Correct Answer - C `6^(m) + 2^(m+n) 3^(w) + 2^(n) = 332` maximum possible value of m is 3 checking for `m = 3,2` and .1 we get `m = 2, n = 3, w = 2` `m^(2) + mn + n^(2) = 4 + 6 + 9 = 19` |
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