Numerical Appli...

A garrison of '$$n$$' men had enough food to last for $$30$$ days. After $$10$$ days, $$50$$ more men joined them. If the food now lasted for $$16$$ days, what is the value of $$n$$?

A bag contains Rs. $$112$$ in the form of $$1$$-rupee, $$50$$-paise and $$10$$-paise coins in the ratio $$3 : 8 : 10$$. What is the number of $$50$$-paise coins?

If $$15$$ men can do a piece of work in $$20$$ days. In how many days can $$25$$ men finish the same work?

Two pipes A and B can fill a tank in $$24$$ and $$30$$ minutes respectively. Both are turned on together. But at the end of $$8$$ minutes, the first is turned off. The time taken to fill the tank B is

If the wages of $$45$$ women amount to $$Rs. 15525$$ in $$48$$ days, how many men must work $$16$$ days to receive $$Rs. 5750$$, the daily wages of a man being double that of a woman?

Two pipes A and B can fill a tank in $$4$$ hours and $$5$$ hours respectively. If they are turned up alternatively for one hour each, the time taken to fill the tank is

A can do a piece of work in $$20$$ days B in $$15$$ days and C in $$12$$ days. How soon can the work be done if A is assisted by B on one day and by C on the next alternately?

A man do a piece of work in $$40$$ days. He worked at it for $$5$$ days, then B finished it in $$21$$ days. The number of days that A and B will take together to finish the same work is

A square pyramid can contain $$16\ m^3$$ of water. The height of the pyramid is $$3\ m$$. Calculate the length of base of the square pyramid.

Which of the following relations is correct ?