GRE Exam Numerical Ability Arithmetic

Two machines S and T produce 1000 and 2000 items every day. Machine S produce 10 defective items machine T produces 40 defective items. On particular day the supervisor of the shop floor picked up an item and found it was defective. Find the probability that it came from machine S.

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GRE Other Question

All the sides of a hexagon become three times the original length. Find the ratio of areas of the new and old hexagons. A train travels from station A to C having distance of 285 miles in 6 hours. During the journey, it reaches intermediate station B at the average speed of 40 miles/hr. From station B, train reaches station C at average speed of 55 miles/hr. What is the distance between the station B and C?