Average problems
- 1. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Options- A. 47.55 kg
- B. 48 kg
- C. 48.55 kg
- D. 49.25 kg Discuss
Correct Answer: 48.55 kg
Explanation:
| Required average |
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| = 48.55 |
- 2. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Options- A. 250
- B. 276
- C. 280
- D. 285 Discuss
Correct Answer: 285
Explanation:
Since the month begins with a Sunday, to there will be five Sundays in the month.
| Required average |
|
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| = 285 |
- 3. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Options- A. 76 kg
- B. 76.5 kg
- C. 85 kg
- D. Data inadequate
- E. None of these Discuss
Correct Answer: 85 kg
Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
- 4. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Options- A. 35 years
- B. 40 years
- C. 50 years
- D. None of these Discuss
Correct Answer: 40 years
Explanation:
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
∴ Husband's present age = (90 - 50) years = 40 years.
- 5. A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
Options- A. 10
- B. 20
- C. 40
- D. 73 Discuss
Correct Answer: 40
Explanation:
Let there be x pupils in the class.
| Total increase in marks = | ❨ | x x | 1 | ❩ | = | x |
| 2 | 2 |
| ∴ | x | = (83 - 63) ⟹ | x | = 20 ⟹ x= 40. |
| 2 | 2 |
- 6. The average of 8, 9, 12, 13, 15, 9 is
Options- A. 11
- B. 6
- C. 16
- D. 18 Discuss
Correct Answer: 11
Explanation:
Average = (8 + 9 + 12 + 13 + 15 + 9)/6
= 66 / 6
= 11
- 7. A has 8 pencils, B has 10 pencils and C has 15 pencils, then the average number of pencils with them are
Options- A. 8
- B. 10
- C. 15
- D. lies between 9 and 15 Discuss
Correct Answer: lies between 9 and 15
Explanation:
Average number of pencils
= ( 8 + 10 + 15 ) / 3
=11
- 8. The average age of 7 member of Patel's family is 25 year. The average age of the same family 3 year ago was
Options- A. 21 year
- B. 22 year
- C. 25 year
- D. none of these Discuss
Correct Answer: 22 year
Explanation:
Present average age of family
= 25 year
3 year ago average of family
= 25 - 3 = 22 years
- 9. The average of 6 number 13, 17, 25, 11, 26, 10 is
Options- A. 20
- B. 17
- C. 15
- D. 25 Discuss
Correct Answer: 17
Explanation:
Average = sum of 6 numbers / 6
= ( 13 + 17 + 25 + 11 + 26 + 10 ) / 6
= 102 / 6
= 17
- 10. The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Options- A. Rs. 7000
- B. Rs. 8000
- C. Rs. 8500
- D. Rs. 9000 Discuss
Correct Answer: Rs. 8000
Explanation:
Average salary
= 8000 + 5000 + 11000 + 7000 + 9000 / 5
= Rs. 8000
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