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UPSC CDS Math Number System Questions
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© examsnet.com
Question : 22
Total: 102
The number of divisors of the number 38808, exclusive of the divisors 1 and itself, is
[2018 CDS-II]
74
72
70
68
Validate
Solution:
Given number is 38808
It can be expressed as
(
2
)
3
×
(
3
)
2
×
(
7
)
2
×
(
11
)
⇒
Total number of factors
=
(
3
+
1
)
(
2
+
1
)
(
2
+
1
)
(
1
+
1
)
−
2
=
4
×
3
×
3
×
2
−
2
=
72
−
2
=
70
On subtracting we get 70
© examsnet.com
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