Quantitative Aptitude - Arithmetic Ability Questions

If x = 3+13, then the value of x-12642x-1x-233 is

In what ratio does the point T (3,0) divide the segment joining the points S (4,­2) and U (1,4)?

What is the fourth proportional to 6, 24 and 83?

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

The value of x for which the expressions 7x + 13 and 13x - 7 become equal is _____

If x = at2 and y = 2at then

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?

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is