Quantitative Aptitude - Arithmetic Ability Questions

The reciprocal of the sum of the reciprocals of 8/7 and 5/6 is:

In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are married and 2/3 of married boys live in hostel. Calculate the part of workers who don’t live in hostel.

ax + 3y = 6 has slope -2/3. What is the value of a?

What is the equation of a line having a slope -1/3 and y-intercept equal to 6?

If  C+1C = 3, then what is the value of C3+1C3 = ?

What is the area (in sq cm) of a rhombus if the lengths of its diagonals are 25 cm and 20 cm?

If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?

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?