Rohit starts a business with Rs.6,500 and after 8 months Shyam joins Rohit as his partner. After 4 years the profit is divided in the ratio of 13 : 12. What is Shyam’s contribution in the capital?

The ratio of income & savings of a man is in ratio of 16:3 respectively. If his savings increases by 1/3 rd and expenditure increased by 1/2, then find the ratio of new income to earlier income of man?

The curved surface area of a cylindrical pillar is 264 square meter and its volume is 924 cubic meters. Find the ratio of its diameter to its height.

The minimum value of 16 tan² θ + 25cot² θ is

Directions : What should come in place of the question mark (?) in the following number series? 

87 89 95 107 ? 157 

If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm,  then the length of the median to its greatest side is

Simplify the following equations.
1 ÷[{p²/(p+6)}+{6p/(p+6)}]

If a sailer sails 12 km distance within 5 hours against the flow of a river. If he sails 22 km distance in same time along the flow of the river. Then velocity of the river is _______