In a group of 35 people, 23 of them like coffee, 24 of them like tea and each person likes at least one of the drinks. How many like both? 

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

Shashi sells two articles for ₹5,000 each with no loss and no profit in the overall transaction. If one article is sold at $$16{2\over 3}\%$$loss, then the other is sold at a profit of:

If x% of $${25\over 2}\%$$ is 150, then the value of x is : 

The numerical value of $$ {1\over 1+cot2}+{3\over 1+tan^2θ}+2sin^2θ$$ will be 

A person divided a certain sum between his three sons in the ratio 3:4: 5. Had he divided the sum in $${1\over 3}:{1\over 4}:{1\over 5}$$ the ratio: the son, who got the least share earlier, would have got ₹1,188 more. The sum (in) was:

Find the smallest integer number which, when subtracted from both the numbers in the ratio 5 : 6, is less than the ratio 17 : 22.

Two successive discounts of 20% and 30% are given while selling an article. What is the ratio of the marked price of the article to its selling price?