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If `M & alpha` are twin prime `&alpha+M=7` then the greatest integral value of `N` isA. `25`B. `32`C. `6`D. `81` |
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Answer» Correct Answer - A::B::D `alpha_(1), m in {3, 4}, {2, 5}, {1, 6}` `alpha = 3, m = 4 , log_(4)N = 3 + b , N in [4^(3), 4^(4)) = [64, 256)` `alpha = 4, m= 3 , N in [81, 243)` `alpha = 2, m = 5 , N in [25, 125)` `alpha = 5, m = 3 , N in [32, 64)` `alpha = 1, m = 6 , N in [6, 36)` `alpha = 6, m = 1 , m ne 1 :. N_(max) = 6` |
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