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Question

A group of students equal in number to the square root of half the whole class is selected for a project. Two more students were selected as captain and vice captain. Rest of the class which form 89 th of class were given leave. Find the total number of students in the class?


A

64

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B

72

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C

80

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D

81

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Solution

The correct option is B

72


Method 1: Conventional Method

The traditional way to solve this question is by using equations

Let the number of students in the class=x

Then, if "y” is the number of students who are selected for the project, then y=x2

also, given that xx22=89x

Replace x by a2

Then the equation changes to a2a22=89a2

Solving, we get x=72


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