Class 10th Homework

                        Class 10th Homework

                   QUADRATIC EQUATIONS

            Q1. A two digit number is such that the product of the digit is 35, when 18 is
            added to the number, the digits inter change their places. Find the number.

            Q2. Three consecutive positive integers are such that the sum of the square
            of the first and the product of the other two is 46, find the integers.

            Q3. A motor boat whose speed is 9 km/h in still water goes 12 km down
            stream and comes back in a total time 3 hours. Find the speed of the

            stream.

            Q4. A train travels 360 km at uniform speed. If the speed had been 5 km/hr
            more it would have taken 1 hour less for the same journey. Find the
            speed of the train.

            Q5. The hypotenuse of right angled triangle is 6cm more than twice the
            shortest side. If the third side is 2 cm less than the hypotenuse, find the
            sides of the triangle.

            Q6. By a reduction of Rs. 2 per kg in the price of sugar. Anita can purchase
            2 kg sugar more for Rs. 224. Find the original price of sugar per kg.

            Q7. Rs. 6500 were divided equally among a certain number of students. Had
            there been 15 more students, each would have got Rs. 30 less. Find the
            original number of students.

            Q8. A fast train takes 3 hours less than a slow train in travelling 600 km. If
            the speed of fast train is 10 km/kr more than the speed of slow train, find
            the speed of both the trains.

            Q9. A girl is twice as old as her sister. Four years hence, the product of their
            ages will be 160. Find their present ages.

            Q10. Two years ago a man’s age was three times the square of his son’s age.
            Three years hence his age will be four times his son’s age. Find their
            present ages.

            Q11. In a cricket match against Sri Lanka, Sehwag took one wicket less than
            twice the number of wickets taken by Unmukt. If the product of the number
            of wickets taken by these two is 15, find the number of wickets taken by
            each.

            Q12. A takes 10 days less than the time taken by B to finish a piece of work.
            If both A and B together can finish the work in 12 days. Find the time
            taken by B to finish the work alone.