A group of x size is made up of 20% of students who study onlyphysics, 25% who s

Question

A group of x size is made up of 20% of students who study onlyphysics, 25% who study only mathematics, and the rest study onlybiology. What could be the smallest size of the group?
Is this question answerable? I found it on a textbook withmultiple choice,...2 of the choices are 4 and 11, and the other 3were also numbers; there was no such choice as "it cannot bedetermined"
My take is that the answers could be many, many possibilities;any suggestions on how to approach it?
Is this question answerable? I found it on a textbook withmultiple choice,...2 of the choices are 4 and 11, and the other 3were also numbers; there was no such choice as "it cannot bedetermined"
My take is that the answers could be many, many possibilities;any suggestions on how to approach it?

Explanation / Answer

20:25:55 is the same ratio as 4:5:11 which cannot be shortened any more and still only containintegers so x = 4+5+11=20 people, where 4(=20%) study only physics, 5(=25%)study only math and 11(55%) study only biology This is the smallest possible group where the ratio 20:25:55 isvalid

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