Quantitative Aptitude - Arithmetic Ability Questions

The average of 8 consecutive integers is 23/2. What is the average of first three integers?

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

Choose the word is least like the other words in the group

If x+1x = 2, then x2+1x2 = ?

If rsin∅ =1, rcos∅=√3, then the value of r2tan∅ is

In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an  equilateral triangle. What is the value in deg of EBZ?

In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of same elements is 4 : 7. If equal quantities of these two alloys be mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?

A thief is stopped by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/hr and that of policeman as 9 km/hr, how far the thief would have run, before he is over- taken by the policeman?