Quantitative Aptitude - Arithmetic Ability Questions

What is the value of 1sin490-θ+1cos290-θ - 1 ?

What is the value of (cot30°+ 2/√3) ?

What is the value of 53% of 7400?

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° – sin 20° sin 25° )]?

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is