Quantitative Aptitude - Arithmetic Ability Questions

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:

The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 49π sq cm?

How many numbers divisible by 125 can be written by using all the digits 2,3,8,7,5 exactly once?

Simplify 11.9983 = ?

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

In what ratio should Darjeeling Tea costing Rs. 400 per kg be mixed with Assam Tea costing Rs. 300 per kg. So that by selling the mixture at Rs. 408 per kg, there is a gain of 20%?