A train of length 212 meter is running at 45 km/h. In what time (in seconds) will it cross a platform of length 188 meter?

An article is sold Rs.680 after two successive discounts of 20% and x% on its marked price. The marked price of the article is Rs.1000. What is the value of x?

The volume of a solid right circular cone is 600 π cm³, and the diameter of its base is 30 cm. The total surface area (in cm²) of the cone is:

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

A, B and C enter into a partnership by investing their capitals in the ratio of $$ {2\over 5} : {3\over 4} : {5\over 8}$$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2, 82, 100 at the end of a year.

A person invested a sum of Rs. 18,600 at x% per year and another sum that is twice the former at (x+2)% per year, both at simple interest. If the total interest earned on both investments for $$ {3{1\over 2}}$$ years is Rs.23,110.50, then the rate of  interest per year on the second investment is:

Pipes P and Q can fill a tank in 18 and 27 minutes, respectively, whereas Pipe R can empty the full tank in 54 minutes.  P and Q were opened together for 6 minutes and then   closed and R was opened. The tank was emptied by R alone in :

The total Surface area of a solid hemisphere is 1039.5 cm². The volume ( in cm³) of the hemisphere is: (Take π=22/7)