question_answer

Direction: Study the following information carefully and answer the questions given below:

An institute having 550 students has sent all its students for training in one or more area of JAVA, DOT NET and PHP. The students are classified into two categories - Boys and Girls, who are in the ratio of 5 : 6.

10% of the boys take training only in DOT NET, 16% of girls take training only in JAVA, which is equal to the number of boys taking training only in PHP and is equal to 50% of the number of boys taking training only in JAVA and PHP. 6% of the total students take training in all three areas, of which \[\frac{5}{11}\] are boys. 10% of the total students take training only in JAVA and DOT NET, which is five times the number of girls taking training in only DOT NE T and PUP. 10% of the total number of girls take training only in JAVA and DOT NET. The number of boys who take training only in JAVA is 25% of the number of girls who take training only in JAVA. 20% of the total number of students take training only in DOT NET. The number of girls who take training only in JAVA and PHP is 20% of the total number of girls.

 

How many girls take training in PHP?

A)  159     

B)    120     

C)    142     

D)    137   

E)  150

Correct Answer: D

Solution :

Boys\[=\frac{550}{11}\times 5=250\] Girls \[=\frac{550}{11}\times 6=300\] The no. of girls who take training in PHP = 48 + 11 + 50 + 18 = 137