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BECE Mathematics 2014 Paper
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© africaexams.com
Question : 10
Total: 40
Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring
simultaneously (at the same time)?
6 hours
8 hours
12 hours
24 hours
Validate
Solution:
When their multiples are the same, they will ring simultaneously.
For the first time, that will be their least common multiples (L.C.M)
Multiples of
3
=
{
3
,
6
,
9
,
12
,
15
,
…
}
3=\{3,6,9,12,15,\ldots\}
3
=
{
3
,
6
,
9
,
12
,
15
,
…
}
Multiples of
4
=
{
4
,
8
,
12
,
16
,
…
}
4=\{4,8,12,16,\ldots\}
4
=
{
4
,
8
,
12
,
16
,
…
}
After 12 hours both bells will ring at the same time.
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