Let `log_2N=a_1+b_1,log_3N=a^2+b^2` and `log_5N=a_3+b_3`, where `a_1,a_2,a_3notin1` and `b_1,b_2 b_3notin [0,1]`. If `a_1=5 and

Let `log_2N=a_1+b_1,log_3N=a^2+b^2` and `log_5N=a_3+b_3`, where `a_1,a_2,a_3notin1` and `b_1,b_2 b_3notin [0,1]`.
If `a_1=5 and a_2=3`, the number of integral values of N is
A. 16
B. 32
C. 48
D. 64

Let `log_2N=a_1+b_1,log_3N=a^2+b^2` and `log_5N=a_3+b_3`, where `a_1,a_2,a_3notin1` and `b_1,b_2 b_3notin [0,1]`. If `a_1=5 and a_2=3`, the number of

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