Quantitative Aptitude - Arithmetic Ability Questions

If cos -300° = x, then the value of x is

If the two lines px + 6y+3=0 and 2x + qy+3=0 have infinite solutions then find the value of p and q respectively.

What least number must be added to 213, so that the sum is completely divisible by 9?

What is the equation of the line passing through the point (0,­4) and making an angle of ­45° with the positive x­axis?

The surface area of a sphere is 5544 sq.cm. Find its diameter (in cm).

The curved surface area and the slant height of a right circular cone are 858 cm² and 13 cm respectively. Find its diameter (in cm).

The area of a triangle ABC is 63 sq.units. Two parallel lines DE, FG, are drawn such that they divide the line segments AB and AC into three equal parts. What is the area of the quadrilateral DEGF?

A factory buys 8 machines. 3 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 45000, Rs 25000 and Rs 35000 respectively. Calculate the average cost (in Rs) of these machines?