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NUMBER OF OCCUPATIONAL INJURIES IN STATE X, 1998

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NUMBER OF OCCUPATIONAL INJURIES IN STATE X, 1998 [#permalink] New post 11 Dec 2017, 10:22
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Question Stats:

83% (42:39) correct 16% (05:07) wrong based on 6 sessions
Attachment:
gender.jpg
gender.jpg [ 67.21 KiB | Viewed 2264 times ]
How many of the age-groups each accounted for more than 15 percent of the total number of occupational injuries in State X in 1998?

A. One
B. Two
C. Three
D. Four
E. Five

[Reveal] Spoiler: OA
C


In 1998, if one-half of the occupational injuries in the combine 34-and-under age-groups were incurred by men, what was the number of occupational injuries incurred by men in the combined 35-and-over age-groups?

A. 33,500
B. 31,900
C. 30,500
D. 25,400
E. 21,700

[Reveal] Spoiler: OA
D


For the 55-64 age-group in 1998, the average (arithmetic mean) number of work-hours lost per occupational injury was 48.5. If a workweek is 40 work-hours, which of the following is closets to the total number of workweeks lost due to occupational injuries in the 55-64 age-group in 1998?

A. 4,500
B. 5,200
C. 5,500
D. 5,900
E. 6,300

[Reveal] Spoiler: OA
E


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Re: NUMBER OF OCCUPATIONAL INJURIES IN STATE X, 1998 [#permalink] New post 12 Dec 2017, 06:58
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Hi,

So I found the following.

1. C
The total is 59,2. So we need to find all Age Group which have more than 15%.
Only Age Group 25-34;35-44 and 45-54 are more than 15%.
2. 25 400
It says that half of the injuries wee occured by men for categories below 25-34. (25-34 is inclusive)
We simply add: 18, 6 + 7,2 + 2,2 = 28
Then divide by 2. 14 So 14 000 men have injuries in those categories.
We substract 14 000 from 39 400 and we have 25 400
3. E
We know that the average if 48,5. We need to know the sum. The total of people in this categorie is 5 200 so we multiply 48,5 * 5 200 = 252 200
Then divide this by the 40 hours.
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Re: NUMBER OF OCCUPATIONAL INJURIES IN STATE X, 1998 [#permalink] New post 12 Dec 2017, 08:07
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Carcass wrote:
Attachment:
gender.jpg
How many of the age-groups each accounted for more than 15 percent of the total number of occupational injuries in State X in 1998?

A. One
B. Two
C. Three
D. Four
E. Five

[Reveal] Spoiler: OA
OA in 24h


In 1998, if one-half of the occupational injuries in the combine 34-and-under age-groups were incurred by men, what was the number of occupational injuries incurred by men in the combined 35-and-over age-groups?

A. 33,500
B. 31,900
C. 30,500
D. 25,400
E. 21,700

[Reveal] Spoiler: OA
OA in 24h


For the 55-64 age-group in 1998, the average (arithmetic mean) number of work-hours lost per occupational injury was 48.5. If a workweek is 40 work-hours, which of the following is closets to the total number of workweeks lost due to occupational injuries in the 55-64 age-group in 1998?

A. 4,500
B. 5,200
C. 5,500
D. 5,900
E. 6,300

[Reveal] Spoiler: OA
OA in 24h



1. For statement 1

Here the total number of occupational injuries = 59.2

No. of age group constitute more than 15 % are-

group 25 -34, which constitute 18.6 which is greater than 15%

group 35 - 44 which constitute 15.7 which is greater than 15%


group 45 -54,which constitute 9.5 which is greater than 15%

Hence option is C i.e 3 groups.


2. Statement 2

Here the no. of injuries till the age group 34 = 28000

out of which 14000 injuries are incurred by men.

Therefore no. of injuries incurred by men over age group 35 = 39400-14000 = 25400

i.e option D

3. Statement 3

Here the total number of workweeks lost due to occupational injuries in the 55-64 age-group in 1998 =\(5200 * \frac{48.5}{40}\) = 6300
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Re: NUMBER OF OCCUPATIONAL INJURIES IN STATE X, 1998 [#permalink] New post 13 Dec 2017, 08:58
Hello, can you explain how i can get 39400?

Thank you
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Re: NUMBER OF OCCUPATIONAL INJURIES IN STATE X, 1998 [#permalink] New post 14 Dec 2017, 13:47
Expert's post
OAs added. Aske if you need further assistance.

regards
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