1.Two numbers differ by 3 and their product is 504. The numbers are

2.A rope of 16 m is divided into two parts such that twice the square of the greater part exceeds the square of the smaller part by 164. Then greater and smaller parts are respectively

3. Find the value of k for which the roots of the equation kx (3x - 4) + 4 = 0, are equal

4.A school decided to award prizes to the most punctual and the most obedient student. The sum of the two prizes is ₹150 and their product is ₹ 5600. Find the prize money for punctuality

5.The sum of the lives of the two electric lamps one C.F.L. and other one ordinary lamp is 10 years. The product of the lives of these two lamps is 26 years. Is this situation possible?

6. A chess board contains 64 equal squares and the area of each square is 6.25 cm². A border around the board is 2 cm wide. Find the length of the side of chess board.

7. The numerator of a fraction is three less than the denominator. If 4 is added to both the numerator and the denominator, the value of the fraction increases by 1/8. Find the fraction

8.If the diagonal of a rectangle is 50 m and its perimeter is 124 m, then the length and breadth of the rectangle (in metre) respectively are

9.A piece of cloth costs 200. If the piece was 5 m longer and each metre of cloth costs 2 less, the cost of the piece would have remained unchanged. What is the original rate per metre?

10.In a class test, the sum of Kamal's marks in Maths and English is 40. Had he got 3 marks more in Maths and 4 marks less in English, the product of their marks would have been 360. His marks in two subjects respectively are