CAT Exam Numerical Ability Time and Work

Q. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

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CAT Other Question

The number of positive integer form 1 to 10^6(both inclusive )which are neither perfect squares ,nor cubes,nor perfect fourth powers is: Q.
lcm of a,b = 1
lcm of b,c = 2
lcm of c,a = 3
then what is the combined lcm of a,b,c?