Quantitative Aptitude - Arithmetic Ability Questions

In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.

In the given figure, PQ = 30, RS = 24 and OM = 12, then what is the value of ON?

The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is

The slopes of two lines are 1/√3 and √3. What is the angle between these two lines?

The curved surface area and the slant height of a right circular cone are 99 sq.cm and 9 cm respectively. Find its diameter (in cm)

What is the value of sin 75°+ sin 15°?

∆ABC is right angled at B. If m∠A = 30°, then find the value of (sinC + 1/3).