Quantitative Aptitude - Arithmetic Ability Questions

In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

Select the odd number from the given alternatives.

Which of the following quadratic equations has real roots?

What is the value of x3-1x3+8 when 8x-8x-16=0 ?

If cos 45° - ­ sec 30° = x, then value of x is

If X is a prime number, LCM of X and its successive number would be

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?