Averages : Arithmetic & Geometric Mean, Median, Mode

Simple Average, Weighted Average, Mean questions that appear in exams such as XAT & TANCET

A collection of questions that typically appear in the Common Admission Test (CAT), XLRI's XAT, TANCET, SNAP and other popular B School tests from the topic Arithmetic and Geometric Mean. Tests such as XAT and CAT ask interesting questions combining Mean, Median and Mode. These questions will guide you through your XAT, TANCET and other MBA entrance exam preparation.

1. Question 1 »  The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?
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2. Question 2 »  The average wage of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wage was Rs.87/day and the average wage during the last 7 days was Rs.92/day. What was his wage on the 8th day?
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3. Question 3 »  The average of 5 quantities is 6. The average of 3 of those 5 quantities is 8. What is the average of the remaining two quantities?
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4. Question 4 »  The average temperature on Wednesday, Thursday and Friday was 25^o. The average temperature on Thursday, Friday and Saturday was 24^o. If the temperature on Saturday was 27^o, what was the temperature on Wednesday?
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5. Question 5 »  The average age of a group of 12 students is 20 years. If 4 more students join the group, the average age increases by 1 year. The average age of the new students is
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6. Question 6 »  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?
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7. Question 7 »  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 score for all the three classes, taken together?
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8. Question 8 »  The average weight of a class of 24 students is 36 kgs. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher?
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9. Question 9 »  The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2?
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10. Question 10 »  The average age of a family of 5 members is 20 years. If the age of the youngest member is 10 years, what was the average age of the family at the time of the birth of the youngest member?
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11. Question 11 »  A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the student interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What is the difference between the two digits a and b?
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12. Question 12 »  Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. What is the total cost of 24 apples and 24 mangoes?
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13. Question 13 »  Average weight of 25 boys in a class is 48 kgs. The average weight of class of 40 students is 45 kgs. What is the average weight of the 15 girls in the class?
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14. Question 14 »  Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?
    XAT 2012 - 1 Mark : Solution »