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- Question
- The average weight of 21 boys was recorded as 64kg. If the weight of the teacher was added, the average increased by one kg. What was the teacher's weight?
Options- A. 86kg
- B. 64kg
- C. 72 kg
- D. 98 kg
- Correct Answer
- 86kg
ExplanationHere, n = 21, a = 64, b = 65
Weight of teacher = n(b - a) + b
= 21( 65 - 64) + 65
= 21 + 65
= 86 kg - 1. The mean weight of 34 students of a school is 42 kg. If the weight of the teacher be included the mean rises by 400g. Find the weight of the teacher?
Options- A. 66
- B. 56
- C. 55
- D. 57 Discuss
- 2. A cricketer had a mean score of 60 runs in 10 innings. Find out how many runs are to be score in the eleventh innings to raise the mean score to 62?
Options- A. 80
- B. 81
- C. 83
- D. 82 Discuss
- 3. Average weight of 19 men is 74 kg and the average weight of 38 women is 63 kg. What is the average weight(rounded off to the nearest integer) of all the men and the women together.
Options- A. 59 kg
- B. 65 kg
- C. 69 kg
- D. 67 kg Discuss
- 4. The average of 13 results is 60. If the average of first 7 result is 59 and that of last 7 results is 61, What will be the seventh result?
Options- A. 90
- B. 50
- C. 75
- D. 60 Discuss
- 5. The average height of the basketball team A is 5 ft 11 inches and that of B is 6 ft 2 inches. There are 20 players in team A and 18 player in team B.The overall average height is
Options- A. 72.42 inches
- B. 72 inches
- C. 70.22 inches
- D. 70 inches Discuss
- 6. The average age of 14 girls and their teacher's age is 15 yr. If teacher's age is excluded then the average reduced by 1. What is the teacher's age?
Options- A. 29 yr
- B. 35 yr
- C. 32 yr
- D. 30 yr Discuss
- 7. The average of class in 35 yr. 6 new students with an average age of 33 yr. joined in that class, there by decreasing the average by half year. The original strength of the class was
Options- A. 14
- B. 18
- C. 16
- D. 20 Discuss
- 8. The average age of 5 member of a family is 25 yr. If the servant of the family is included the average age increased by 40% .What is the age of servant?
Options- A. 85 yr
- B. 90 yr
- C. 73 yr
- D. 55 yr Discuss
- 9. The average age of the 30 woman decreases by 3 month if a new person Priyanka is included in place of 25 yr old woman. Calculate the age of Priyanka.
Options- A. 17.5 yr
- B. 20 yr
- C. 30 yr
- D. 22 yr Discuss
- 10. The mean temperature of Monday to Wednesday was 37°C and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5 that of Monday, the temperature of Thursday was
Options- A. 35.5°C
- B. 34°C
- C. 36.5°C
- D. 36°C Discuss
Average problems
Search Results
Correct Answer: 56
Explanation:
Here n= 34, a = 42 and b = 42.4
Weight of the teacher.
= n(b -a) + b
= 34 ( 42.4 - 42) + 42.4
= 13.6 + 42.4 = 56.0 kg
Correct Answer: 82
Explanation:
Here, n = 10, a = 60, b = 62
Number of runs scored in 11th inning
= n (b - a) + b
= 10 (62 - 60) + 62
= 20 + 62 = 82
Correct Answer: 67 kg
Explanation:
Here n1 = 19, a1 = 74, n2 = 38, a1 = 63
Total average weight = (n1a1 + n2 a2) / (n1 + n2)
= [(19) (74) + (38) (63)] / (19 + 38)
= 3800/57 ? 67 kg
Correct Answer: 60
Explanation:
According to the fundamental to the fundamental formula
Average(A)= Sum (S) / Number(N)
From the question 60 = S / 13
? S = 60 x 13 = 780
Sum of first seven result = 59 x 7 = 413
Sum of last seven result = 61 x 7 = 427
? 7th result = (Sum of first seven result) + (Sum of last seven results) - (Sum of all the results)
= (413 + 427 - 780 )
= (840 - 780)
= 60
NoteSum of first seven when added to the sum of last seven result, then repetition of 7th result takes place.
Correct Answer: 72.42 inches
Explanation:
Overall height = (n1a1 + n2a2) / (n1 + n2)
n1= 20,
a1 = 5 ft 11 inches = 5 x 12 + 11 = 71 inches
n2= 18,
a2 = 6 ft 2 inches = 6 x 12 + 2 = 74 inches
? Overall height = [(20) (71) + (18) (74)] / (20+18)
= (1420 + 1332) / 38 = 72.42 inches
Correct Answer: 29 yr
Explanation:
Sum of 14 girls and teacher age = 15 x 15 = 225
Without teacher's age sum of 14 girls age = 14 x 14 = 196
? Teacher's age = 225 -196 = 29 year
Correct Answer: 18
Explanation:
Let the number of students in the class = N
According to the question,
(35N + 6 x 33) / (N + 6) = 35 - (1/2)
? 35N + 198 = 34.5 (N + 6)
? 35N +198 = 34.5N + 207
? 0.5N = 207 -198N = 9/0.5 = 18
? N = 18 days
Correct Answer: 85 yr
Explanation:
Total age of 5 members = 25 x 5 = 125 yr
Total age of 5 member and the servant
= (25 + 25 x 40/100) x 6
= 35 x 6 = 210 yr
? Age of the servant = 210 - 125 = 85 yr
Correct Answer: 17.5 yr
Explanation:
Here, average decreases by 3 months of 3/12 yr.
Sum of ages decreased
= 30 x 3/12 = 15/2 = 7.5 yr
? Age of priyanka = (25 - 7.5) = 17.5 yr.
Correct Answer: 36°C
Explanation:
Temperature of (Mon + Tue + Wed) = 37 x 3 = 11°C
Temperature of (Tue + Wed + Thu) = 34 x 3 = 102°C
Temperature of (Mon - Thu) = 111°C - 102°C = 9°C
Temperature of [Mon - 4/5(Mon] = 9
Temperature of Monday = 9 x 5 = 45°C
? Temperature of Thursday = 45 x 4/5 = 36°C
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