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

135

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

164

No worries! We‘ve got your back. Try BYJU‘S free classes today!

187

No worries! We‘ve got your back. Try BYJU‘S free classes today!

142

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 135
Total number of boys $= \frac{1560 \times 7}{12} = 910$
Only in dancing $= \frac{1}{5} \times 910 = 182$
Only in Singing $= 91$
Singing, Dancing and Painting $= 910 \times \frac{1}{13} = 70$
Dancing and Painting $= 104$
Singing and Dancing $= \frac{156}{2} = 78$
Only in Painting $= 385$
Total number of girls $= 1560 - 910 = 650$
Only in Painting $= \frac{650}{5} = 130$
Singing and Dancing $= \frac{650 \times 24}{100} = 156$
Only in Singing $= 2 \times 91 = 182$
Only in Dancing $= 65$
Dancing and Painting $= \frac{650 \times 8}{100} = 52$
Dancing, Singing and Painting $= 65$
Required number of students $= 70 + 65 = 135$

Suggest Corrections

Similar questions

Study the information carefully to answer the questions:

A school consisting of a total of 1560 students has boys and girls in the ratio of 7:5. All the students are enrolled in different types of hobby classes, viz Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty percent of the girls are enrolled only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty four percent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred percent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2:1. Ten percent of the girls are enrolled in only Dancing classes whereas eight percent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in Singing and Dancing classes together. The number of boys enrolled in Singing and Dancing classes together is fifty percent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.

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

Q. In which year was the total number of girls enrolled in all the three schools together second highest?

Q. The bar graph represents the number of students who enrolled in three different disciplines in five different colleges.

Q. What is the respective ratio of total number of students studying civil engg, mechanical engg and electrical engg together?

Q. The bar graph represents the number of students who enrolled in three different disciplines in five different colleges.

Q. Number of students studying electrical engg in college C is approximately what percentage of students studying electrical engg from all colleges together?

Q. What is the ratio of the total number of students studying MCA from all three institutes together to the total number of students studying M.Sc from all three institutes together?

Join BYJU'S Learning Program