When 3738, 5659 and 9501 are divided by the greatest possible number x, the remainder in each case is y. What is the sum of x and y?

A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm²) of a square inscribed in the circle?

A semi-circular sheet of metal of diameter 28 cm. is bent into an open conical cup. The depth of the cup is approximately 

The HCF of two numbers is 96 and their LCM is 1296. If one of the numbers is 864, the other is

A man is twice as fast as women and woman is twice fast as a boy. If all of them i.e., a man, a woman and a boy can finish a work together in 4 days, in how many days will a boy do it alone?

There are 1600 students in a college, whose average weight is 50 kg. If average weight of boys is 54 kg. and average weight of girls is 38 kg. Then find the number of girls in the school.

The ratio of milk and water in 42 litres of milk and water is 4 : 3. If x litres less of both quantities liquids be mixed up then their ratio becomes 7 : 5. Find the value of x.

Two circle C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If ∠BDC = 120^o, then the value of ∠ABP is equal to -