If the average of 11, 23 and x is 40, then what is 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 -

If x is the mean proportional between 20 and 5 and y is the third proportional to 16 and 64, then find the value of x/y. 

Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8 and 12, the remainder in each case is 2. The sum of the digits of x is:

36 people working 8 hours a day can do 3 units of work in 12 days. How many persons are required to do 5 units of that work in 16 days. If they work for 6 hours a day?

Vaishnavi and Saurabh start moving at the same time from city A to city B, 60 km away. Vaishnavi travels 4 km/hr slower than Saurabh. Saurabh reaches city B and at once turns back meeting Vaishnavi, 12 km from city B. What is the speed of Vaishnavi ?

If the area of a circle inscribed in a square is 9π $$ {}\ cm^2 $$, then the area of the square is

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is