IIM CAT, Indian B School Entrance Test Math Sample Questions : Simple and Weighted Average : Ascent - CAT Coaching

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Quant Problems - Averages - CAT 2009 Sample Questions


The following questions are from the topic averages, simple averages and weighted averages that typically appear in the entrance tests of top Indian business schools.
  1. March 06, 2003 »  Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes. Solution »

  2. March 27, 2003 »  A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b? Solution »

  3. June 12, 2003 »  The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member? Solution »

  4. June 26, 2003 »  The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2? Solution »

  5. July 16, 2003 »  The average weight of a class of 24 students is 36 years. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher? Solution »

  6. August 12, 2003 »  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 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? Solution »

  7. August 19, 2003 »  When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? Solution »

  8. October 21, 2003 »  The average age of a group of 12 students is 20years. If 4 more students join the group, the average age increases by 1 year. The average age of the new students is Solution »

  9. November 12, 2003 »  The average temperature on Wednesday, Thursday and Friday was 250. The average temperature on Thursday, Friday and Saturday was 240. If the temperature on Saturday was 270, what was the temperature on Wednesday? Solution »

  10. April 13, 2004 »  The average of 5 quantities is 6. The average of 3 of them is 8. What is the average of the remaining two numbers? Solution »

  11. June 11, 2004 »  The average wages of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wages was Rs.87/day and the average wages during the last 7 days was Rs.92 /day. What was his wage on the 8th day? Solution »

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