What is the duplicate ratio of 3:4?

If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?

What is the fourth proportional of 3 , 5 & 6 ?

*p is the least integer greater that p

 

@ p is the largest integer less than p

 

# (p, q) = Min (*p,@q)

 

Which of the following statements is always true about (u-v) where u is the average of p and q and, v is the average of *p and @q?

There are 80 players in a school who play one or more than one games. These games are Golf , volleyball & Cricket . If 40 play golf , 30 play cricket & 30 play volleyball. 15 play both Golf &cricket ,& 14 of them play both cricket & volleyball. Number of players who play Golf & volleyball is same as the number of players playing all the 3 games. What is the minimum no. of players possible who play only cricket?