Arihant Expert Team Solutions for Exercise 1: Exercise 1

The respective ratio between the present age of Ram, Rohan, and Raj is $3:4:5$. If the average of their present ages is $28$ $years$, then what would be the sum of the ages of Ram and Rohan together after $5$ $years$?

The angles of a quadrilateral are in the ratio of $2:4:7:5$. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle?

Rita invested $25\%$ more than Sunil. Sunil invested $30\%$ less than Abhinav who invested $Rs. 6000$. What is the respective ratio between the amount that Rita invested and the total amount invested by all of them together?

Radha's present age is three years less than twice her age $12$ $years$ ago. Also, the respective ratio between Raj's present age and Radha's present age is $4 : 9$. What will be Raj's age after $5$ $years$?

The respective ratio between the speeds of a car, a train, and a bus is $5 : 9 : 4$. The average speed of the car, the bus, and the train is $72$ $km/h$ together. What is the average speed of the car and the train together?

When all the students in a school are made to stand in rows of $54$, $30$ such rows are formed. If the students are made to stand in the rows of $45$, how many such rows can be formed?

The ratio of the present ages of Anju and Sandhya is $13 : 17$ respectively. Four years ago the respective ratio of their ages was $11 : 15$. What will be the respective ratio of their ages six years hence?

The average age of $80$ boys in a class is $15$. The average age of a group of $15$ boys in the class is $16$ and the average age of another $25$ boys in the class is $14$. What is the average age of the remaining boys in the class?