Quantitative Aptitude - Arithmetic Ability Questions

If 4x -7 < x - 2 and 5x +2/3 ≥ 3x + 1; then x can take which of the following values?

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

If cos 2π/3c = x, then the value of x is

If Girish's salary is 4/9 times of Harishankar's and Shirish's salary is 5/6 times of Harishankar's, what is the ratio of Girish's salary to Shirish's.

In what ratio is the segment joining (12,­1) and (-­3,4) divided by the Y­-axis?

The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. The 11th observation is

A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be:

A tetrahedron has 4 vertices. How many edges does it have?