Monday, April 22, 2013

CAT (1998-2001) AVERAGE, RATIO & PROPORTION Questions



(1998)
1.       I have one rupee coins, fifty paise coins and twenty five paise coins. The numbers of coins are in the ratio 2.5: 3: 4. If the total amount with me is Rs 210. Find the number of one rupee coins.
(a)    90                        (b) 85                          (c) 100                       (d) 105
2.       There are two containers: the first contains 500 ml of alcohol, while the second contains 500 ml of water. Three cups of alcohol from the first container is removed and is mixed well in the second container. Then three cups of this mixture is removed and is mixed in the first container. Let ‘A’ denote the proportion of water in the first container and ‘B’ denote the proportion of alcohol in the second container. Then,
(a)    A > B                   (b) A < B                       (c) A = B                   (d) Cannot be determined
(1999)
1.       Mr. Launcher plans to launch a new TV channel called Dekha Dekhi (DD). He envisages a viewership of 42%. He plans to capture the viewership from CAT TV and MAT TV, which currently hold viewership of 35% and 48%, each having a distinct and separate target audience. In what ratio should he capture the target audience of the two channels
(a)    6 : 7                    (b) 7: 6                          (c) 1: 1                      (d) 8: 9
(2000)

1.       There are seven consecutive natural numbers such that the average of the first five is n. then average of all seven numbers will be?
(a)    N
(b)   N + 1
(c)    Kn + 1/k where k is a positive constant.
(d)   N + 2/7
(2001)

1.       Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took 1/3 of the mints, but returned four because she had a momentary pang of guilt. Fatima then took ¼ of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?
(a)    38                       (b) 31                            (c) 41                         (d) None of these
2.       Three maths 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 students 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 classes?
(a)    81                         (b) 81.5                        (c) 82                        (d) 84.5
3.       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 35715. What was the number erased?
(a)    7                           (b) 8                              (c) 9                          (d) None of these
4.       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
(a)    100                      (b) 140                          (c) 60                        (d) 150
5.       At a certain fast food restaurant, Brian can buy burgers, 7 shakes, and one order of fries for Rs 120 exactly. At the same place it would cost Rs 164.5 for 4 burgers, 10 shakes and one order of fries. How much would it cost for an ordinary meal of one burger, one shake, and one order of fries?
(a)    Rs 31                    (b) Rs 41                      (c) Rs 21                    (d) Cannot be determined

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