Working 8 hours a day, Sohan writes a book in 18 days. How many hours per day should he write to write the entire book in 12 days?

If (a+b)=16 and a³+b³=1456, then what is the value of ab?

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is: 

The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively is:

Milk and water are mixed in vessel A in the ratio of 5:2 and in vessel B in the ratio of 8:5. In what ratio should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the ratio of 9:4 ?

Factor of $$ {12x^{2}+7y^{2}-12}$$ is__

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is 

Any money at the rate of simple interest becomes Rs 1143 in 3 years and Rs 1305 in 5 years Find the rate of principal and interest.