If 5^a=3125, then the value of 5^(a-3) is:

How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?

C can do a work alone in 120 days. B is twice as efficient as C and A is thrice as efficient as B. In how many days can they work Finish together?

If the radius of a right circular cylinder is decreased by 50% and its height is increased by 60%, its volume will be decreased by

If a+b+c=15 and a²+b²+c²=83 then the value of a³+b³+c³-3abc

Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.

If the length and breadth of a rectangle are increased by 8 % and 12 % respectively, then by what percent does the area of that rectangle increase? 

If x = 2 then the value of $$ x^3 + 27x^2 + 243x + 631$$ is: