Instructions

Study the information carefully to answer the question that follow:

A school consisting of a total of 1560 students has boys and girls in the ratio 7:5 respectively. 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 per cent of the girls are enrolled in only painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys are enrolled in the same. One thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and painting classes together to the girls enrolled in the same is 2:1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent 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 fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only painting classes.

Question 2

Total number of girls enrolled in Singing is approximately what per cent of the total number students in the school ?

Question 4

Number of girls enrolled in only Dancing classes is what percent of the boys enrolled in the same ?(rounded off to two digit after decimal )

Question 5

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

Instructions

For the following questions answer them individually

Question 6

A, B and C. each working alone, can finish a piece of work in 27, 33 and 45 days respectively. A starts by working alone for 12 days, then B takes over from A and works for 11 days. At this stage C takes over from B and completes the remaining work. In how many days the whole work was completed ?

Question 7

Sonal’s age 4 years hence will be equal to Radhika’s age five years ago. If the respective ratio between Radhika’s present age and Komal’s present age is 3 : 2 and Komal’s present age is 22 years, what is Sonal's present age ? (in years)

Question 8

Surf gave 25% of her monthly salary to her mother. From the remaining salary, she paid 15% towards rent and 25%, she kept aside for her monthly expenses. The remaining amount she kept in bank account. The sum of the amount she kept in bank and that she gave to her mother was Rs.42,000/-. What was her monthly salary ?

Question 9

A triangle has two of its angles in the ratio of 1 : 2. If the measure of one of its angles is 30 degrees, what is the measure of the largest angle of the triangle in degrees ?

Question 10

The simple interest accrued on an amount of Rs. 19,800 at the end of three years is Rs. 7,128. What would be the compound interest accrued on the same amount at the same rate in the same period ?