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)?

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?

The ratio of salary of X, Y and Z is 15 : 3 : 8. If Z gets Rs. 3960 more than Y, then what is the salary (in Rs.) of X?

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

If Tan θ = 4/3, then what is the value of Sin θ?

If sinA + sin2A = 1 then what is the value of cos2A + cos4A ?

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