Out of 5 men and 3 women. committee of 3 members is to be formed so that it has 1 woman and 2 men. In how many different ways can it be done? 

Shyam covers a distance of 400 km in 5 hours. He traveled for some time at a speed of 85 km / h and the rest at a speed of 55 km / h. How long did he travel at high speed?

There are two inlets A and B connected to a tank. A and B can fill the tank in 32 h and 28 h, respectively. If both the pipes are opened alternately for 1 h, starting with A, then in how much time (in hours, to nearest integer) will the tank be filled? 

If P713 is divisible by 11, find the number P?

The perimeter of rectangle of length 2 (x + 3) cm and breadth 2 (x + 1) cm is double the perimeter of a square of area 225 cm². Find the area of rectangle.

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers left the fort. Thus, food lasted for 32 more days. How many soldiers left?

A pipe can empty a tank in 40 minutes. A second pipe with diameter twice as much as that of the first is also attached with the tank to empty it . The two pipe together can empty the tank in: 

How many natural numbers less than 1000 are divisible by 5 or 7 but not by 35?