Average problems
- 1. The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Options- A. 33 yrs
- B. 34 yrs
- C. 35 yrs
- D. 36 yrs Discuss
Correct Answer: 34 yrs
Explanation:
Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age increases by one becomes 23
Total age when coach is included = 23x12 = 276
Age of coach = 276-242 = 34 yrs.
- 2. A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is :
Options- A. 44 runs
- B. 46 runs
- C. 48 runs
- D. 49 runs Discuss
Correct Answer: 48 runs
Explanation:
Let average for 10 innings be x. Then,
(10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42.
New average = (x + 6) = 48 runs.
- 3. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options- A. 6
- B. 8
- C. 4
- D. 5 Discuss
Correct Answer: 4
Explanation:
Let the number of boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
- 4. The average marks of 40 students in an examination was 34. It was later found that the marks of one student had been wrongly entered as 62 instead of 26. what is the correct average?
Options- A. 33.1
- B. 33.3
- C. 33.5
- D. 33.7 Discuss
Correct Answer: 33.1
- 5. What is the average of first 19 odd numbers?
Options- A. 9.5
- B. 15.5
- C. 19
- D. 38 Discuss
Correct Answer: 19
- 6. The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?
Options- A. 25
- B. 29
- C. 21
- D. 33 Discuss
Correct Answer: 21
- 7. The average marks of 40 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 73 instead of 37. What is the value of correct average?
Options- A. 24.3
- B. 24.1
- C. 24.5
- D. 24.7 Discuss
Correct Answer: 24.1
- 8. For the data given below. find the sum of mode. median and mean.6, 3, 8, 4, 3, 11, 7, 4, 5, 4.
Options- A. 13.5
- B. 13
- C. 14
- D. 14.5 Discuss
Correct Answer: 14
- 9. If a certain amount is fully distributed among A, B & C in such a way that A receives 1/2 of the amount, B receives 1/3 of the amount and C receives ? 1200, then how much money would A receive
Options- A. 4000
- B. 1600
- C. 3600
- D. 1800 Discuss
Correct Answer: 3600
- 10. The average weight of Somdev, Gurdeep and Ritu is 85 kg. If the average weight of Somdev and Gurdeep be 79 kg and that of Gurdeep and Ritu be 73 kg, then the weight of Gurdeep is
Options- A. 78
- B. 49
- C. 72
- D. 90 Discuss
Correct Answer: 49
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