XAT 2018 Question 59
This is a detailed step-by-step solution for XAT 2018 Question 59. Understand the concept, common mistakes, and expert tips to solve similar questions in XAT exam.
XAT
Let the number of girls in the school be G.
=> Number of boys = G+30.
Some girls joined the class and the number of boys and girls became 3:5.
Let the number of girls who joined the class be 'X'.
It has been given that (G+30)/(G+X) = 3/5
5G + 150 = 3G + 3X
2G + 150 = 3X
=> X = (2G/3) + 50.
2G has to be divisible by 3.
Therefore, the least value that G can take is 3.
When G = 3, X = 2 + 50
X = 52.
The least number of girls who could have joined is 52.
Therefore, option C is the right answer.