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The number of proper divisors of 1800, w...

The number of proper divisors of 1800, which are also divisible by 10, are: a. 18 b. 27 c. 34 d. 43

A

18

B

34

C

17

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
We have `1800=2^(3)xx3^(2)xx5^(2)`
Clearly, the required number of proper divisors in same as the number of ways of selecting at least 2 and at least one 5 out 3 identical `2^(s),2` identical `3^(s)and2` identical `5^(s)`.
`:.` Required number of proper divisors `=(3xx(2+1)xx2)-1=17`.
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Section I - Solved Mcqs
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