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 -

In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle point of AC. If a square is constructed on the side BC, what is the area of the square?

The average of nine numbers is 50. The average of first five numbers is 54 and that of the last three numbers is 52, then the sixth number is -

The difference between compound interest and simple interest on a sum of money for 3 years at 8% per annum is Rs. 354.80. Find the sum.