The prices of two articles are in the ratio 3 : 2 respectively. The price of the first article is increased by 40% and that of the second article is decreased by x%. If the new ratio of both the articles is : 7 : 3 then what is the value of x?

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings will become 100?

Find the greatest perfect square number of 5 digits.

A shopkeeper by selling  13 Titan watches, earns a profit equal to the selling  price  of 3 Titan watches. His profit percentage is

A motorboat can travel at 10 km/hr. in still water it travelled 91 km downstream in a river and then returned taking at together 20 hours. Find the rate of flow of the river 

If $$ {x^{2}+3{x}+1=0}$$, then the value of $$ {x^{3}+{1\over {x^{3}}}}$$

When the integer n is divided by 7, the remainder is 3. What is the remainder if 5n divided by 7?

If a²+b²+c² = 2(a – b – c) – 3 then the value of 4a – 3b + 5c is