Quantitative Aptitude - Arithmetic Ability Questions

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

Factorise x2 + 3x -­ 18

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

If the shopkeeper sells an item at Rs 1600 which is marked as Rs 2000, then what is the discount he is offering?

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?

If √x ­- √y = 1 , √x + √y = 17 then √xy = ?

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

The diagonal of a rhombus is 8m and 6m respectively. Find its area.