Quantitative Aptitude - Arithmetic Ability Questions

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

 In ΔABC measure of angle B is 90 deg. If cotA = 7/24, and AB = 1.4cm, then what is the length (in cm) of side AC?

Find the value of 491321973

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

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

What is the slope of the line parallel to the line passing through the points (-2, -1) and (4, -3)?

What is the area (in sq cm) of an equilateral triangle of side 14 cm?

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?