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- Question
- 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
- Correct Answer
- 67 kg
ExplanationHere 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 - 1. 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
- 2. 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
- 3. The average of four consecutive numbers A, B, C, and D is 49.5. What is the product of B and D?
Options- A. 2499
- B. 2352
- C. 2450
- D. 2550 Discuss
- 4. The average age of 30 girls is 13 yr. The average of first 18 girls is 15 yr. Find out the average age of remaining 12 girls.
Options- A. 12yr
- B. 10yr
- C. 16yr
- D. 10.5 yr. Discuss
- 5. A businessman purchased 30 TV sets in ? 300000, If the average cost of 15 TV sets is ? 9000 then find out the average cost of remaining TV sets.
Options- A. ?20000
- B. ? 12000
- C. ? 11000
- D. ?10000 Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. 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
Average problems
Search Results
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: 2499
Explanation:
Let the numbers A, B, C, and D are N , N+1, N + 2 and N + 3, respectively.
According to the question,
[N + (N+1) + (N+2) + (N+3)] / 4 = 49.5
? 4N + 6 = 4 x 49.5
? 4N = 198 - 6 ? N = 192/4
? N = 48
The required product = B x D
= (N + 1) x (N + 3)
= (48 +1) (48 +3 )
= 49 x 51
= 2499
Correct Answer: 10yr
Explanation:
Total age of 30 girls = 30 x 13 = 390 yr
Total age of 18 girls = 18 x 15 = 270 yr.
? Age of remaining 12 girls = 390 - 270 = 120 yr
? Required average = 120/12 = 10 yr
Correct Answer: ? 11000
Explanation:
Total cost of 30 TV sets = ? 300000
Total cost of 15 TV sets = 9000 x 15 = 135000
Total cost of remaining 15 TV sets = 300000 - 135000 = 165000
? Average cost of remaining TV sets = 165000/15 = ? 11000
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: 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: 86kg
Explanation:
Here, n = 21, a = 64, b = 65
Weight of teacher = n(b - a) + b
= 21( 65 - 64) + 65
= 21 + 65
= 86 kg
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
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