CAT Exam Numerical Ability

how many integers values of x and y are there such that 4X+7Y=3,while mod X<500 and mod y<500?

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CAT Other Question

a particle starts from rest and has an acceleration of 4m/s 2 for 20 seconds after that it travels for 30 seconds with constant speed and then undergoes a retardartion of 8m/s2. and come back to rest.the total distance covered If 3 apples, 4 oranges and 5 bananas cost Rs. 22, and 2 apples, 3 oranges and 4 bananas cost
Rs. 16, then how much will 1 orange and 2 bananas cost?