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Question

If Alex has all the three tuitions today, next after how many days will he attend all three tuitions together? ​

A
15
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B
30
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C
24
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D
12
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Solution

The correct option is B 30
Maths tuition is there every 3 days, Science tuition is there every 5 days, and English tuition is there every 6 days.
<point at 3 days, 5 days and 6 days>
Here too, pick the keyword, that is, next.
This should be clear to all of you that we need to apply the concept of LCM.
Let’s find the next time he will do all his tuition together by using the concept of the smallest common multiple of 3, 5, and 6.
<write the multiples of 3, 5 and 6 and circle the common multiples as shown below>

After 30 days, 60 days, and so on, Alex will have all three tuitions together.
Thus, next time he will have all three tuitions will be after 30 days.

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