Quantitative Aptitude - Arithmetic Ability Questions

Points P , Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60° . Then the subtended angle by arc QR at the centre is

If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords?

The average age of 30 boys in a class is 10 years. If the age of their teacher is also included, the average increases by one year. The teacher's age in years is

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

If x + y = 12 and x2 + y2 = 94, then xy is 

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

If a + b = 10 and ab = 21, then the value of (a - b)2 is