Book Maths Puzzle Numerical Ability

a number is divided by 4. 5 and 6 and the remainders are 2, 3 and 4 respectively . what is the number?

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Book Other Question

a number is divided by 4, 5 and 6 and the remainders are 2, 3 and 4. what is the number what are the integral values to satisfy x^2 - y^2 =286 ?