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Question

Samaira writes 6 pages in one hour, Kate writes 12 pages in one hour whereas Maggie writes 8 pages in one hour. They all have to write an equal number of pages. The least number of pages that they can write equally is ___


A
24
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B

65

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C

43

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D

22

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Solution

The correct option is A 24

We know that the least number of pages to be written will be found by finding the L.C.M of the number of pages that they write in an hour. Samaira writes 6 pages, Kate writes 12 and Maggie writes 8. So finding the L.C.M of these numbers:
6 = 2 × 3
12 = 2 × 2 × 3
8 = 2 × 2 × 2

L.C.M will be 2 × 2 × 2 × 3 = 24.
So they have to write 24 pages each.


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