If the diameter of a wire is decreased by 10% by how much per cent (approximately) will the length be increased to keep the volume constant?

If a=tanθ + 1 and b=sinθ+cosθ then find (b²-1)a=?

A can do a piece of work in 4 hours; B and C can do it in 3 hours; A and C can do it in 2 hours. How long will B along take to do it?

A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold of itself at the same rate of interest?

Two numbers are respectively 30% and 40% less than a third number. What percent is the first number of the second?

If A : B: C= 2 : 3 : 4, then $$ {A\over B}:{B\over C}:{C\over A}$$ is equal to 

If x:y=3:2 then the ratio $$ {2\ x^{2}+3\ y^{2}}:{3\ x^{2}}-{2\ {y^{2}}}$$ is equal to

Find the greatest perfect square number of 5 digits.