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Byju's Answer
Standard XII
Mathematics
Fundamental Principle of Counting
The product o...
Question
The product of five consecutive numbers is always divisible by ?
A
60
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B
12
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C
120
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D
72
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Solution
The correct option is
D
120
Solution:
The product
(
n
)
of any
5
consecutive numbers will always be divisible by
120
and its factors.
n
(
n
+
1
)
(
n
+
2
)
(
n
+
3
)
(
n
+
4
)
5
×
4
×
3
×
2
=
120
Answer C:
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