General Maths Puzzle Numerical Ability Permutation and Combination

How many common square and cube numbers are there less than 50000?

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General Other Question

How many arrangements of four 0's , two 1's and two 2's are there in which the first 1 occur before the first 2? varun throws two dice,and his score is sum of the values shown on dice,priya throws one dice and her score is square of value shown.what is the probability that priya score will be strictly more than varun's score??