# CASELETS DI-4

Saturday 25 August 2018

School consisting of a total of 1560 student has boys and girls in the ratio of 7:5, respectively. All the students are enrolled in different types of hobby classes that is singing, dancing and painting. One fifth of the boys are enrolled in only dancing classes. 20% of the girls are enrolled in only painting classes. 10% of the boys are enrolled in only singing classes. 24% of the girls are enrolled in both singing and dancing classes together. The number of girls rolled  only singing classes two hundred percent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. Respective ratio of boys enrolled in dancing and painting classes together to the girls and rolled in the same is 2:1, respectively. 10% of the girls are enrolled in only dancing classes where as eight percent of the girls are enrolled in both dancing and painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in singing and dancing classes together is 50% of the number of girls enrolled in the same. The remaining boys are enrolled in only painting classes.

1. What is the total number of boys were enrolled in dancing?

(a) 318   (b) 364   (c) 292   (d) 434    (e) none of these

2. Total number of girls Enrolled in singing is approximately what percent of the total number of student in the school?

(a) 37   (b) 19   (c)32    (d) 14   (e)26

3. What is the total number of students enrolled in all the three classes together?

(a) 135   (b) 164   (c) 187   (d) 142    (e)none of these

4. What is the respective ratio of the number of girls enrolled in only painting classes to the number of boys enrolled in the same?

(a)77:26    (b)21:73    (c)26:77    (d)73:21    (e) none of these

ANSWER:-    1.D   2.E    3.A    4. C