Average problems
- 1. There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?
Options- A. Rs 432
- B. Rs 442
- C. Rs 420
- D. Rs 400 Discuss
Correct Answer: Rs 420
Explanation:
Let the original avg expenditure be x
Total expenditure = 35x
?35x + 42 = (x-1) X 42
?35x + 42 = 42x ?42
?7x = 84
?x = 12
So, initial expenditure = 12 X 35 = 420
- 2. Average age of a team having 12 players is 23 years. If the age of the coach is also included, then the average age increases by 2 years. What is the age (inyears) of the coach?
Options- A. 41
- B. 47
- C. 49
- D. 51 Discuss
Correct Answer: 49
- 3. The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?
Options- A. x + 1
- B. x + 2
- C. x + 4
- D. x + (x/54) Discuss
Correct Answer: x + 2
Explanation:
Sum of n consecutive natural numbers = n(n+1)/2
Average of n consecutive natural numbers = (n+1)/2
For first 50 average = 51/2 = x
Last 50 average = 55/2 = x+2
- 4. The average weight of 100 students is 32 kg. The average weight of first 49 students is 30 kg and of last 50 students is 34 kg. What is the weight (in kg) of the 50th student?
Options- A. 25
- B. 30
- C. 32
- D. 33 Discuss
Correct Answer: 30
- 5. The average revenues of 9 consecutive years of a company is Rs 76 lakhs. If the average of first 5 years is Rs 71 lakhs and that of last 5 years is Rs 83 lakhs, find the revenue for the 5th year.
Options- A. Rs 88 lakhs
- B. Rs 84 lakhs
- C. Rs 86 lakhs
- D. Rs 82 lakhs Discuss
Correct Answer: Rs 86 lakhs
- 6. What is the average of all natural numbers from 21 to 39?
Options- A. 30
- B. 31
- C. 29
- D. 28 Discuss
Correct Answer: 30
- 7. What is the average of first 39 even numbers ?
Options- A. 39
- B. 40
- C. 20
- D. 68 Discuss
Correct Answer: 40
- 8. A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?
Options- A. 35
- B. 34
- C. 33
- D. 36 Discuss
Correct Answer: 36
- 9. A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?
Options- A. 66
- B. 61
- C. 62
- D. 64 Discuss
Correct Answer: 66
- 10. The average weight of two players P and Q of a football team is 38 kg. The average weight of P, Q and their coach T is 49 kg. What is the weight (in kg) of coach?
Options- A. 71
- B. 46
- C. 76
- D. 91 Discuss
Correct Answer: 71
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