Average problems
- 1. Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Options- A. 79
- B. 77
- C. 76
- D. 73 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: 79
Explanation:
Assuming Sripad has scored the least marks in subject other than science,
Then the marks he could secure in other two are 58 each.
Since the average mark of all the 3 subject is 65.
i.e (58+58+x)/3 = 65
116 + x = 195
x = 79 marks.
Therefore, the maximum marks he can score in maths is 79.
- 2. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
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.
- 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 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
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 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 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 49
- 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 Also asked in: Bank Exams, CAT
Correct Answer: Rs 86 lakhs
- 6. In the first 39 overs of a cricket match, the run rate was 4.6 runs/over. Calculate the required run rate in the remaining 11 overs to reach the target of 252 runs?
Options- A. 7.2
- B. 5.7
- C. 6.3
- D. 6.6 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 6.6
- 7. In a match of 50 overs, team A?s average runs for first thirty overs was 4.5 runs/over while for the remaining 20 overs the average was 5.5 runs/over. Team B chased the target and lost by 10 runs. Find the average runs per over scored by team B. (team B played all the 50 overs).
Options- A. 4.4
- B. 5.2
- C. 4.7
- D. 4.6 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 4.7
Explanation:
Total runs scored by team
- 8. In a class of 60 students there are 30 girls. The average weight of these girls is 58 Kg and average weight of the full class is 63 kgs. What is the average weight of the boys of the class?
Options- A. 67
- B. 66
- C. 68
- D. 65 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 68
- 9. The mean of 21 observations (all different) is 40. If each observation greater than the median is increased by 21, then the mean of observations will become:
Options- A. 50
- B. 30
- C. 50.5
- D. 45 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 50
- 10. In the first 32 overs of a cricket match, the run rate was 7.2 runs/over. What is the required run rate in the remaining 18 overs to reach the target of 297 runs?
Options- A. 4.3
- B. 4.9
- C. 3.1
- D. 3.7 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 3.7
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