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Let log3^N = alpha1 + beta1 , log5^N = ...

Let ` log_3^N = alpha_1 + beta_1 , log_5^N = alpha_2 + beta_2 , log_7^N = alpha_3 + beta_3` Largest integral value of N if ` alpha_1 =5 , alpha_2 = 3 and alpha_3=2 and beta_1, beta_2, beta_3=(0,1) `(A)342. (D) 242 (C) 243 (B) 343 342 17 Difference of largest and smallest integral values of N if ` alpha_1 =5 , alpha_2 = 3 and alpha_3=2 and beta_1, beta_2, beta_3=(0,1)` (D) 99 (C) 98 (B) 100 (A) 97

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