| Coverage : The GRE Practice test - Math - Average has been designed to test the important concepts related to average. The test covers important topics like determining average for a series, average cost of each item, average marks in a class, average of cubes or squares of certain numbers, average speed while travelling etc. |
| 1. | A boy purchased 4 toys at the rate of $150 each, 2 toys at the rate of $300 each and 3 toys at the rate of $200 each. Calculate the average cost of one toy. |
| a. | | $300 |
| b. | | $200 |
| c. | | $400 |
| d. | | $150
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| 2. | If a boy spends $900 in one month and the average expenditure of that month is $30, find how many days are there, in the month. |
| a. | | 30 |
| b. | | 31 |
| c. | | 29 |
| d. | | 28
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| 3. | The average weight of 25 students, of section A is 52 pounds and of section B is 55 pounds. Find the average weight of all the students of both classes. |
| a. | | 53.00 pounds |
| b. | | 53.25 pounds |
| c. | | 53.50 pounds |
| d. | | 53.30 pounds
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| 4. | If the average marks of 60 students of two classes are 85, and the average marks of 45 students is 75. Find the average marks of the remaining students. |
| a. | | 75 |
| b. | | 80 |
| c. | | 95 |
| d. | | 115
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| 5. | The average value of six numbers 9, 11, 13, 17, 19, and 21, is 15. If 5 are added to each number, what will be the new average? |
| a. | | 20 |
| b. | | 21 |
| c. | | 23 |
| d. | | 25
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| 6. | The average of 5 numbers is 100. If each number is multiplied by 2, then find the average of new numbers. |
| a. | | 200 |
| b. | | 400 |
| c. | | 250 |
| d. | | 500
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| 7. | The average age of 24 employee's and the officer is 30 years. If the officer's age is excluded, the average age reduces by 2years. What is the age of the officer? |
| a. | | 75 years |
| b. | | 60 years |
| c. | | 78 years |
| d. | | 72 years
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| 8. | The average age of 25 students in a class is 8years. If the teacher's age is also included the average age becomes 9 years. Find the teacher's age. |
| a. | | 35 years |
| b. | | 34 years |
| c. | | 33 years |
| d. | | 32 years
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| 9. | Find the average of first 31 natural numbers. |
| a. | | 32 |
| b. | | 16 |
| c. | | 14 |
| d. | | 26
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| 10. | Find the average of squares, of the natural numbers, from 1 to 31. |
| a. | | 335 |
| b. | | 336 |
| c. | | 320 |
| d. | | 378
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| 11. | Find the average of cubes, of natural numbers from 1 to 15. |
| a. | | 1000 |
| b. | | 890 |
| c. | | 960 |
| d. | | 540
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| 12. | Find the average of odd numbers from 1 to 60. |
| a. | | 25 |
| b. | | 35 |
| c. | | 20 |
| d. | | 30
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| 13. | What is the average of even numbers from 1 to 91? |
| a. | | 45 |
| b. | | 47 |
| c. | | 46 |
| d. | | 48
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| 14. | Find the average of 8 consecutive numbers 7, 8, 9, 10, 11, 12, 13 and 14. |
| a. | | 10.5 |
| b. | | 10 |
| c. | | 11.5 |
| d. | | 11
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| 15. | Find the average of consecutive odd numbers 23, 25, 27, 29, 31, 33 and 35. |
| a. | | 28 |
| b. | | 27 |
| c. | | 31 |
| d. | | 29
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| 16. | Find the average of first 41 consecutive even numbers. |
| a. | | 41 |
| b. | | 42 |
| c. | | 20 |
| d. | | 21
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| 17. | Find the average of first 40 consecutive even number. |
| a. | | 41 |
| b. | | 42 |
| c. | | 40 |
| d. | | 22
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| 18. | Find the average of squares of first 17 consecutive even number. |
| a. | | 520 |
| b. | | 420 |
| c. | | 360 |
| d. | | 480
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| 19. | Find the average of squares of consecutive odd numbers, from 1 to 21. |
| a. | | 160 |
| b. | | 145 |
| c. | | 154 |
| d. | | 161
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| 20. | The production of a company for three successive years has increased by 10%, 30% and 90%, respectively. What is the average annual increase of production? |
| a. | | 30% |
| b. | | 35% |
| c. | | 20% |
| d. | | 25%
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| 21. | A man walks 1 mile with the speed of 20 miles per hour and another 1 miles with the speed of 10 miles per hour. Find his average speed for covering whole distance of 2 miles. |
| a. | | 12 miles /hr. |
| b. | | 12.5 miles /hr. |
| c. | | 13.3 miles /hr. |
| d. | | 13.5 miles /hr.
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| 22. | A man goes to a certain place with the speed of 15 miles per hour and comes back to the original place with the speed 21 miles per hour. Find the average speed, during the whole journey. |
| a. | | 17 miles /hr. |
| b. | | 17.5 miles /hr. |
| c. | | 18 miles /hr. |
| d. | | 18.5 miles /hr.
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| 23. | A person covers 8miles at a speed of 2 mile/hr, 12miles at the speed of 3 mile/hr and 15 miles with the speed of 5 mile/hr. Find the average speed during the entire journey. |
| a. | | 35/11mile/hr. |
| b. | | 25/11mile/hr. |
| c. | | 7/11mile/hr. |
| d. | | 15/11mile/hr.
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| 24. | A man covers 2/3rd of the distance at 8 mile/hr, the next 1/5th distance at 5 mile/hr and the remaining distance at 10 mile/hr. Find the average speed during the entire journey. |
| a. | | 300/41mile/hr. |
| b. | | 537/41mile/hr. |
| c. | | 107/7mile/hr. |
| d. | | 176/25mile/hr.
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| 25. | A bus covers 20% of the journey at 20 mile/hr, 40% of the journey at 30 mile/hr and the remaining at 20 mile/hr. Find the average speed of the bus during the entire journey. |
| a. | | 331/15mile/hr. |
| b. | | 300/13mile/hr. |
| c. | | 287/13mile/hr. |
| d. | | 13/22 mile/hr.
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| 26. | The average weight of 5 persons is 35 pounds. If one more person is added, the average weight would remain the same. Find the weight of the new person. |
| a. | | 40 pounds |
| b. | | 35 pounds |
| c. | | 32 pounds |
| d. | | 41 pounds
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| 27. | Find the average of all the prime numbers lying between 10 and 20. |
| a. | | 18 |
| b. | | 19 |
| c. | | 12 |
| d. | | 15
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| 28. | Find the average of all the prime numbers lying between 20 and 40. |
| a. | | 10 |
| b. | | 15 |
| c. | | 20 |
| d. | | 30
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| 29. | Find the average of all prime numbers between 1 and 30. |
| a. | | 20 |
| b. | | 11.8 |
| c. | | 12 |
| d. | | 12.5
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| 30. | Find the average of first 20 natural numbers. |
| a. | | 8 |
| b. | | 10.12 |
| c. | | 10 |
| d. | | 10.5
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| 31. | Find the average of first 30 natural numbers. |
| a. | | 10.5 |
| b. | | 15.5 |
| c. | | 13.5 |
| d. | | 13
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| 32. | Find the average of first 50 natural numbers. |
| a. | | 25.5 |
| b. | | 25 |
| c. | | 20 |
| d. | | 20.3
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| 33. | Find the average of first 5 multiples of 9. |
| a. | | 25 |
| b. | | 27 |
| c. | | 30 |
| d. | | 23
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| 34. | Find the average of first 10 multiples of 5. |
| a. | | 55.8 |
| b. | | 70 |
| c. | | 50 |
| d. | | 27.5
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| 35. | Find the average of first 15 multiples of 8. |
| a. | | 64 |
| b. | | 85 |
| c. | | 25.5 |
| d. | | 25.9
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| 36. | The average of 5 consecutive numbers is 20. Find the largest of these numbers. |
| a. | | 23 |
| b. | | 18 |
| c. | | 22 |
| d. | | 52
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| 37. | The average of 4 consecutive even numbers is 33. Find the largest of these numbers. |
| a. | | 36 |
| b. | | 32 |
| c. | | 35 |
| d. | | 20
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| 38. | The average of 6 consecutive even numbers is 45. Find the largest of these numbers. |
| a. | | 40 |
| b. | | 70 |
| c. | | 50 |
| d. | | 35
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| 39. | The average of 5 consecutive odd numbers is 43. Find the lowest of these numbers. |
| a. | | 42 |
| b. | | 39 |
| c. | | 43 |
| d. | | 56
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| 40. | The average of 7 consecutive odd numbers is 67. Find the largest of these numbers. |
| a. | | 14 |
| b. | | 22 |
| c. | | 35 |
| d. | | 73
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| 41. | The average of 5 consecutive numbers is 12. Find the lowest of these numbers. |
| a. | | 10 |
| b. | | 19 |
| c. | | 41 |
| d. | | 61
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| 42. | The average of 9 consecutive numbers is 40. Find the largest of these numbers. |
| a. | | 22 |
| b. | | 32 |
| c. | | 44 |
| d. | | 56
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| 43. | The average of 4 consecutive even numbers is 25. Find the difference between the highest, and lowest of these numbers? |
| a. | | 4 |
| b. | | 6 |
| c. | | 1 |
| d. | | 3
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| 44. | The average of 7 consecutive odd numbers is 77. Find the difference between the highest and lowest of these numbers? |
| a. | | 3 |
| b. | | 6 |
| c. | | 16 |
| d. | | 12
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| 45. | The average age of 30 students in a class is 12 years. The average age of 18 students is 10. What is the average age of the remaining 12 students? |
| a. | | 10 |
| b. | | 15 |
| c. | | 12 |
| d. | | 18
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| 46. | The average age of 45 students in a class is 20 years. The average age of 27 students is 18. What is the average age of the remaining 18 students? |
| a. | | 27 |
| b. | | 45 |
| c. | | 23 |
| d. | | 80
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| 47. | The average of 60 numbers is 40. If four numbers, 10, 20, 30 and 40 are discarded, then the average of the remaining numbers is nearly: |
| a. | | 41.07 |
| b. | | 30.05 |
| c. | | 40 |
| d. | | 100
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| 48. | The average of 45 numbers is 30. If three numbers, 10, 20 and 30 are discarded, then the average of the remaining numbers is nearly: |
| a. | | 50 |
| b. | | 30.7 |
| c. | | 45 |
| d. | | 35.5
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| 49. | The average of 30 numbers is 22. If two numbers, 15 and 20 are discarded, then the average of the remaining numbers is nearly: |
| a. | | 35 |
| b. | | 15.8 |
| c. | | 20 |
| d. | | 22.3
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