Lets assume, total number of student is $100.$
Now, boys constituted of $65\%$ of appeared students.
So total number of boys who appeared $= 65.$
Total number of girls who appeared$=100-65=35.$
Now, Girls accounted for $60\%$ of qualified students.
So, no of girls who qualified $=0.6X$ where $X$ is the total number of qualified students and number of boys who qualified $=0.4X$
So, options A, B and C are false and correct answer is D.