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Question


How many two digit odd numbers are there with 10 factors?


Options:
A .   1
B .   2
C .   3
D .   4
E .   None of these
Answer: Option E
:
E

10 factors implies that the number can be of the form


1) a9 ( Least odd number will be 39)


2) ab4 (Least odd number will be 345=405)


Therefore, as the least number is 405, there are no two digit numbers of the specified form. The answer is 0.


If a number N can be factorized as N=ambn(a, b are the prime factors)


Then number of factors= (m+1)(n+1)



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