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- Question
- 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
- Correct Answer
- 2499
ExplanationLet 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 - 1. 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
- 2. 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
- 3. The average of 4 consecutive even numbers is 27. What is the greatest number
Options- A. 28
- B. 26
- C. 32
- D. 30 Discuss
- 4. Eight consecutive numbers are given. If the average of the two number that appear in the middle is 6 then the sum of the eight given numbers is
Options- A. 36
- B. 48
- C. 54
- D. 64 Discuss
- 5. Average age of 5 boys is 16 yr,of which that of 4 boys is 16 yr, 3 months. The age of the 5th boys.
Options- A. 15yr
- B. 15yr 6 months
- C. 15 yr 4 months
- D. 15 year 2 months Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Average problems
Search Results
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: 30
Explanation:
Let the four consecutive even number are x, ( x+2), (x+4), (x+6).
Clearly this is a series of consecutive even numbers
According to the formula,
Average of consecutive numbers = (first number + last number)/ 2
? 27 = [x + (x + 6)]/2
? x + 3 = 27
? x =24
? Greatest number = 4th consecutive even number = (x + 6) = 24 + 6 = 30
Correct Answer: 48
Explanation:
Let's eight sequentially number are x, x + 1, x + 2, x + 3, x + 4, x + 5, x + 6 and x + 7.
According to the question [(x + 3) + (x + 4)]/2 = 6
? (2x + 7)/2 = 6 ? 2x + 7 = 12
? 2x = 5 ? x = 5/2
? Sum of all eight numbers = x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7
= 8x + 28
= 20 + 28
= 48
Correct Answer: 15yr
Explanation:
Average of 5 boys = 16 yr
sum of age of 5 boys = 16 x 5 = 80 yr
? Average age of 4 boys = 16 - yr 3 month
= 16 yr + 3/12 yr = 16 yr + 1/4 yr
Sum of ages of 4 boys = 4 x (16 +1/4) yr
= 64 +1 = 65 yr
? Age of 5th boy = (80 - 65) yr = 15 yr
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: 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: 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: 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
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