In how many different ways, can the letters of the words EXTRA be arranged so that the vowels are never together ?

Which of the following sets of numbers can be used as the lengths of the sides of a triangle ?

A city has an average demand of water of 33,000 Lts. of water which lasts for 50 days. But if some people enter the city, then the demand increases to 37,000 Lts. of water for which supply will lasts 35 days. Give an estimation of how much minimum water should be used daily so th…

Five years ago, the average age of A,B,C and D was 45 years. By including X in the present lot their present average changes to 49 years. What is the present age of X?

From the passage: Number of Boys and Girls (in hundreds) in six different years in 5 dif...

What is the approximate percentage decrease in the number of boys in school D in the year 2017 as compared to the previous year ?

There are six teachers. Out of them, two teach physics, other two teach Chemistry and the rest two teach Mathematics. They have to stand in a row such that Physics, Chemistry and Mathematics teachers are always in a set. The numberof ways in which they can do, is :

Tom's salary is 150% of John’s salary. John’s salary is 80% of Steve’s salary. What is the ratio of Steve's salary to Tom’s salary ?

Brother and sister both appear for an interview. The probability of the selection of brother is 1/8 while the probability of rejection of sister is 4/5. What is the probability that only one of them is selected ?

A shopkeeper marks his books at 25% above the cost price. Due to slump in the market, his cost reduces by 5%. And then,to boost his sale, he offered a discount of 8% due to which sales goes up by 25%. Compute the change in the shopkeepers profit.