How to approach this problem

In a class of 16 studets 1/5th of the boys are shorter than the shortest girl in the class and 1/3rd of the girls are taller than the tallest boy in the class. What % of students in the class are taller than the shortest girl but shorter than the tallest boy.

  1. 62.5 %  2. 67.5%  3. 75%  4. 77.5%  5. 80%
Intermediate Asked on September 13, 2017 in Problem Solving.
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1 Answer(s)

Hi Santhosh,

Here more than the approach, here basic thing is you need to interpret the question better.

Basic thing here, you need to understand that number of boys has to be a multiple of 5. Likewise, number of girls has to be a multiple of 3.

So, in that case,

The number of boys has to be 10 and number of girls has to be 6.

SG – Shortest girl

TB – Tallest boy

Given,

B1, B2, SG, ……………TB, G1, G2

So there are 10 students will be in that range of taller than the shortest girl and shorter than the tallest boy.

So, 10/16 * 100 = 62.5%

So the answer has to be B.

Hope this helps

Expert Answered on September 13, 2017.
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