Quantitative Aptitude - Arithmetic Ability Questions

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

Select the odd letters from the given alternatives.

If XY = a+23 and YX = 13, then find the value of X2 + Y2X2 - Y2.

If x - y = -8 and xy = 45, then (x2 + y2) is

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

What is that least digit that must be added to the product 5786 × 5784 to make it a perfect square?

The fraction from the ones listed below that will NOT lead to a recurring decimal is

In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?