Quantitative Aptitude - Arithmetic Ability Questions

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

The points A(x,2), B(­2,1) and C(6,­3) are collinear. Find x?

Select the odd word/letters/number/number pair from the given alternatives.

What is the value of cosec 5π/3?

What is the value of (1+cosA)/(1-­cosA)?

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

If x = 1 + √2 + √3, then the value of x2-2x-4=0

If Rajan purchase 21 pens for Rs 20 and sell all the pens at the rate of 20 pens for Rs 21, then what will be the profit percentage?