Book Maths Puzzle Numerical Ability

how many integer values of x and y satisfy the expression 4x+7y=3 where |x|<1000 and |y|<1000?

a)284 b)285 c)286 d)none of these

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Book Other Question

let s denote the sum of the squares of the first m natural numbers. for how many values of m<100, is s a multiple of 4?

a)50 b)25 c)36 d)24
A milkman makes 20% profit by selling milk mixed with water at Rs. 9 per litre. If the cost price of 1 litre pure milk is Rs. 10, then the ratio of milk and water in the said mixture is