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I. The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately __________ the difference in life expectancy for females born in 1995 as compared to those born in 1990.

Life expectancy for males born in 1995 = 72.5 years
Life expectancy for males born in 1990 = 71.8 years
Percent difference = \(\frac{(72.5 - 71.8)}{71.8} * 100\) = \(\frac{0.7}{71.8} * 100\) = 0.97493

life expectancy for females born in 1995 = 78.9
life expectancy for females born in 1990 = 78.8
Percent difference = \(\frac{(78.9 - 78.8)}{78.8} * 100\) = \(\frac{0.1}{78.8} * 100\) = 0.1269

therefore, 0.97493/0.1269 = 7.68 (approx) and this is closer to 10 times.

A. equal to
B. 5 times

C. 10 times

II. The number of years by which the average female born in 2010 can expect to outlive the average male born the same year is closest to _________ percent of the number of years by which the average female born in 1975 can expect to outlive the average male born the same year.

the average female born in 2010 = 81.8 years
the average male born in 2010 = 76.2 years
Difference is 5.6 years

the average female born in 1975 = 76.6 years
the average male born in 1975 = 68.8 years
Difference is 7.8 years

therefore, the required percent is = 5.6/7.8 * 100 = 71.79 % = 70% approx.

A. 50
B. 60

C. 70
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I. C (10times)
% difference in life expectancy for males born in 1995 as compared to those born in 1990 = (72.5 - 71.8)/(71.8) = 0.009
% difference in life expectancy for males born in 1995 as compared to those born in 1990 = (78.9 - 78.8)/(78.8) = 0.001
Ratio = 0.009 / 0.001 = 9 = 10(Approx)

II. C (70)
number of years by which the average female born in 2010 can expect to outlive the average male born= 81.8 - 76.2 = 5.6
number of years by which the average female born in 1975 can expect to outlive the average male born the same year = 76.6 - 68.8 = 7.8
% = (5.6 / 7.8)*100% = 71.79%= 70%(approx)
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I. The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately __________ the difference in life expectancy for females born in 1995 as compared to those born in 1990.

A. equal to
B. 5 times
C. 10 times

IMO (C) 10 times

Males born in 95' - 72.5
Males born in 90' - 71.8
Difference - (72.5-71.8) = 0.7
% difference - (0.7/71.8)*100 = 0.97 (approx. 1%)

Females born in 95' - 78.9
Females born in 90' - 78.8
Difference - (78.9-78.8) = 0.1
% difference - (0.1/78.8)*100 = 0.12 %

Hence 0.1% is 10 times 1%

II. The number of years by which the average female born in 2010 can expect to outlive the average male born the same year is closest to _________ percent of the number of years by which the average female born in 1975 can expect to outlive the average male born the same year.

A. 50
B. 60
C. 70

IMO (C) 70

Females born in 10' - 81.8
Males born in 10' - 76.2
Hence, females outlived males in 2010 by 5.6 years

Females born in 75' - 76.6
Males born in 75' - 68.8
Hence, females outlived males in 1975 by 7.8 years

We need to find 'Value of 2010' is 'what percent of' 'value of 1975'
Hence, (5.6/7.8)*100 = 71.7% which is approx 70%
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I.The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately __________ the difference in life expectancy for females born in 1995 as compared to those born in 1990.
Choice C.

Life expectancy of males born in 1995= 72.5
Life expectancy of males born in 1990= 71.8

Percentage Difference = (72.5-71.8)/71.8*100 = 0.974%

Life expectancy of females born in 1995= 78.9
Life expectancy of females born in 1990= 78.8

Percentage Difference = (78.9-78.8)/78.8*100
=0.126%
Using approximation Required Ratio is 10 times.

II.The number of years by which the average female born in 2010 can expect to outlive the average male born the same year is closest to _________ percent of the number of years by which the average female born in 1975 can expect to outlive the average male born the same year.
Choice C.

The number of years by which the average female born in 2010 can expect to outlive the average male born the same year is (81.8-76.2) =5.6
The average female born in 1975 can expect to outlive the average male born the same year is (76.6-68.8)= 7.8

Required Percentage= (5.6/7.8)*100 is approximately 70%.
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Quote:
I. The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately __________ the difference in life expectancy for females born in 1995 as compared to those born in 1990.

A. equal to
B. 5 times
C. 10 times

Life expectancy for males in 1995: 72.5
Life expectancy for males in 1990: 71.8
Percentage difference = (0.7/71.8) * 100 = 0.97

Life expectancy for females in 1995: 78.9
Life expectancy for females in 1990: 78.8
Percentage difference = (0.1/78.8) * 100 = 0.12

0.12 and 0.97 are approximately the same

Therefore the answer is A. equal to
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I. The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately __________ the difference in life expectancy for females born in 1995 as compared to those born in 1990.

A. equal to
B. 5 times
C. 10 times


1990 males -- 71.8
1995 males -- 72.5
Difference = 0.7
Difference (in %) = 0.7 / 71.8 = 7/718 = 1%.............(1)

Similarly, 1990 females -- 78.8
1995 females -- 78.9
Difference = 0.1
Difference (in %) = 0.1 / 78.8 = 1/788 = 0.12 %............(2)

(1) is approximately 10 times of (2)

Option C -- 10 times


II. The number of years by which the average female born in 2010 can expect to outlive the average male born the same year is closest to _________ percent of the number of years by which the average female born in 1975 can expect to outlive the average male born the same year.

A. 50
B. 60
C. 70


In 2010 , Female outlives Male by = 81.8 - 76.2 = 5.6 years...........(1)
In 1975 , Female outlives Male by = 76.6 - 68.8 = 7.8 years...........(2)

(5.6 years / 7.6 years ) x 100 = 71.79%

Closest to 70%

Option C -- 70 percent
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I)
Males:
LE_1995=72.5
LE=_1990=71.8

% diff_male= 0.7/71.8*100=0.97%

Females:
LE_1995=78.9
LE_1990=78.8

diff= 0.1

Ans= 9.7/0.1=9.7

C)

II)
In 2010:
No of years by which Females outlive male=81.8-76.2=5.6 yrs

The number of years by which the average female born in 1975 can expect to outlive the average male born the same year=76.6-68.8=7.8


5.6 is what % of 7.8
=5.6/7.8*100=71%
C)
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Official Explanation

The answer to the first question is C. Life expectancy for females born in 1995 is about 0.1 percent greater than for females born in 1990; life expectancy for males born in 1995 is about 1 percent greater than for males born in 1990, so the increase is about ten times as great.

The answer to the second question is C. The average female born in 1975 can expect to outlive the average male born the same year by 7.8

Answer: C and C
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OA to this question is posted, it is C for both of the questions.

Competition mode is off now.

Almost everyone did a good job.

Cheers.
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The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately x times the difference in life expectancy for females born in 1995 as compared to those born in 1990.

They mention %diff for males but only diff for females. The first part has a percent difference but in the second part, they only state "the difference" and not percentage difference. Either you misworded the question or the OE is incorrect. If it's percentage difference in both, it needs to be said clearly.

The statement " The percent difference in life expectancy for males born in 1995 as compared to those born in 1990 is approximately 10 times the difference in life expectancy for females born in 1995 as compared to those born in 1990." is incorrect.


Sajjad1994
Official Explanation

The answer to the first question is C. Life expectancy for females born in 1995 is about 0.1 percent greater than for females born in 1990; life expectancy for males born in 1995 is about 1 percent greater than for males born in 1990, so the increase is about ten times as great.

The answer to the second question is C. The average female born in 1975 can expect to outlive the average male born the same year by 7.8

Answer: C and C
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