Average Question & Answers

Averages - CAT 2007 Sample Math 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. November 10, 2006 �  The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager? Solution �
   
   
2. 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? Correct Answer and Explanation �
   
   
3. 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 �
   
   
4. 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 �
   
   
5. 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 Explanatory Answer �
   
   
6. 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 �
   
   
7. 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 �
   
   
8. 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? Correct Answer �
   
   
9. 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 �
   
   
10. 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? Correct Answer and Explanation �
    
    
11. 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 �
    
    
12. 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. Explanatory Answer �