Others Exam Numerical Ability

If a & b are positive integers & ( a-b )/3/5=4/7, then?

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Suppose that you have a huge cucumber that is 99% water (by weight). The cucumber weighs 100 pounds. If the water content of the cucumber evaporates until it is 98% water (by weight), then approximately how much does the cucumber now weigh? Sourabh rides his bicycle from his house at A to his office at B, taking the shortest path. Then the number of possible shortest paths that he can choose is...