Quantitative Aptitude - Arithmetic Ability Questions

If O is the centre of a circle of radius 5 cm. At a distance of 13 cm from O, a point P is taken. From this point, two tangents PQ and PR are drawn to the circle. Then , the area of quadrilateral PQOR is

In the following question, select the missing number from the given series.
 
1912, 2012, 2133, 2277, 2446, ?

Convert decimal number 101 to binary.

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

Find the number of prime factor of 1024.

Find the greatest number among 213, 312, 1, 516

For what value of 'y', x2 + 112x + y2 is a perfect square?

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?