Quantitative Aptitude Test 9

Quantitative Aptitude

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1. Let x, y be two positive numbers such that x + y = 1. Then, the minimum value of



2. Two trains of length 100m and 80m respectively run on parallel line of rails. When running in the same direction the faster train passes the slower one in 18 seconds, but when they are running in opposite directions with the same speeds as earlier, they pass each other in 9 seconds. Find the speed of faster train.


3. What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values?


4. At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in six hours less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for his 24 mile round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hour?


5. A change making machine contains 1 rupee, 2 rupee and 5 rupee coins.The total number of coins is 300.The amount is Rs 960.If the number of 1 rupee coins and the number of 2 rupee coins are interchanged, the value comes down by Rs 40. The total number of 5 rupee coins is:


6. December 9, 2001 is Sunday.What was the day on December 9, 1971?


7. Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight.What is the weight of dry grapes available from 20 kg of fresh grapes?


8. A rectangular pool 20 meters wide and 60 meters long is surrounded by a walkway of uniform width.If the total area of the walkway is 516 square meters, how wide, in meters, is the walkway?


9. Two men X andY started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs 300 with an annual increment of Rs 30.Y asked for an initial salary of Rs 200 with a rise of Rs 15 every six months.Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month.What is the total amount paid to them as salary during the period?


10. Let b be a positive integer and a = b2 – b. If b³4, then a2 – 2a is divisible by:


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