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Aptitude Day 102



Ratio and Proportion:

 1. The sides of the triangle are in the ratio 1/6: 1/4: 1/5 and its perimeter is 148 cm. The length of the longest side is:

Solution:
                 The given ratio is
                           1/6: 1/4: 1/5 = 10: 15: 12

                 The total ratio is 10+15+12 = 37.

                 The largest side = (15/37)*148
                                           = 60.

2. The ratio of the number of boys and girls in a school is 1:3. If 10% of boys and 30% of girls are scholarship holders, what percentage of students does not get the scholarship?

Solution:
                90% of boys don’t get the scholarship = 90/100(x)
                70% of girls don’t get the scholarship = 70/100(3x)

               By adding these two, we’ll get 3x.
               The total ratio is x+3x = 4x.
          
               The percentage of students who do not get the scholarship = 3x/4x(100)
                                                                                                             = 75%

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