The base of a right pyramid is a square of side 10 cm. If its height is 10 cm, then the are (in cm²) of its lateral surface is:

The marked price of an article is 40% above its cost price. If its selling price is $$73{1\over 2}\%$$ of the marked price, then the profit percentage is

A can do 2% of a work in 4 days, B can do $$33{1\over 3}\%$$ of the same work in 10 days. They worked together for 9 days. C completed the remaining work in 6 days. B and C together will complete 75% of the same work in :

A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take л = 22/7)

The expression   $${15(\sqrt { 10}+\sqrt { 5})\over \sqrt { 10}+\sqrt { 20}+\sqrt { 40}-\sqrt { 5}-\sqrt { 80}     }$$ is equal to:

A, B and C started a business. Twice the investment of A is equal to thrice the investment of B and also five times the investment of C. If the total profit after a year is 15.5 lakhs, then the share of B in the profit is (in lakhs):

The graphs of the equations 3x-20y-2=0 and 11x-5y+61=0 intersect at P(a,b). What is the value of (a² + b² — ab)/(a² — b² + ab)?

 If 3x²-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is