Book Maths Puzzle Numerical Ability LCM and HCF

Some children were formed into group of 6 or 7 .In each case 2 children were left out
when they were formed into group of 8 ,no children were left out .what is total number number of children

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Book Other Question

what are the integral values to satisfy x^2 - y^2 =286 ? a dealer gets rs. 56 less if instead of selling a chair at a gain of 15%,it is sold at a gain of 8%. find the cost price of the chair.