Quantitative Aptitude Test 10

Quantitative Aptitude

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1. If a, b, c and d are four positive real numbers such that abcd = 1, what is the minimum value of (1 + a) (1 + b) (1 + c) (1 + d).


2. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?


3. Let n be the number of different 5-digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, with no digit being repeated. What is the value of n?


4. Three math classes: X, Y, and Z, take an algebra test.
The average score in class X is 83. The average score in class Y is 76.
The average score in class Z is 85.
The average score of all sudents in classes X and Y together is 79.
The average score of all students in classes Y and Z together is 81.
What is the average for all the three clalsses?


5. A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17 . What was the number erased?


6. At a certain fast food restaurant, Bakshi can buy 3 burgers, 7 shakes, and one order of fries for Rs 120. At the same place it would cost Rs 164.50 for 4 burgers, 10 shakes, and one order of fries. How much would it cost for a meal of one burger, one shake, and one order of fries?


7. A man starts walking, He walked 2 km in the first hour. Then, he walked two third of the previous our in each next hour. lf he walked continuously then how long maximum could he walk ?


8. The owner of an art shop conducts his business in the following manner: Every once in a while he raises his prices by X%, then a while later he reduces all the new prices by X%. After one such up-down cycle, the price of a painting decreased by Rs 441. After a second up-down cycle the painting was sold for Rs 1944.81. What was the original price of the painting?


9. A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which is the first pair?


10. In the diagram, ABCD is a rectangle with AE=EF=FB. What is the ratio of the area of the triangle CEF and that of the rectangle?


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