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23 Jan 2016, 16:43
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
53% (02:19) correct
47%
(02:18)
wrong
based on 455
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Not Attempted Yet
The rate of smoking, globally, is higher now than ever before. In fact, 20% more people smoke today than did 20 years ago. In the nation of Patrio, 20% of people smoke; in Paisi, 25%. And in the last twenty years, the number of people who smoke increased by 13% in Kokua and 27% in Kappa.
Which of the following conclusions can most properly be drawn from the information above?
(A) There are more smokers in Paisi than in Patrio.
(B) There were fewer smokers in Kappa twenty years ago then there are in Paisi today.
(C) The world's population is less than 120% of its value 20 years ago.
(D) The average rate of smoking in any of the world's countries must be at least 13%.
(E) At no point over the last 20 years was the world's smoking rate less than 13% below the rate 20 years ago.
Which of the following conclusions can most properly be drawn from the information above?
(A) There are more smokers in Paisi than in Patrio.
(B) There were fewer smokers in Kappa twenty years ago then there are in Paisi today.
(C) The world's population is less than 120% of its value 20 years ago.
(D) The average rate of smoking in any of the world's countries must be at least 13%.
(E) At no point over the last 20 years was the world's smoking rate less than 13% below the rate 20 years ago.
24 Jan 2016, 07:07
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The source is GMAT Free.
In the prompt, we have that 20% more people smoke than 20 years ago. Also, the first sentence says that the rate is higher than ever before. Combining them, say the population 20 years ago was 100, and x% of them smoked, which is 100x people. Today, the number of people that smoke is 1.2(100x). But the rate of smoking now is x or greater ("higher than ever before"), meaning that 1.2(100x) divided by the current population is greater than or equal to x:
[1.2(100x)][/P] >= x
Multiplying both sides by P and dividing both sides by x, we have:
1.2(100) >= P
In the prompt, we have that 20% more people smoke than 20 years ago. Also, the first sentence says that the rate is higher than ever before. Combining them, say the population 20 years ago was 100, and x% of them smoked, which is 100x people. Today, the number of people that smoke is 1.2(100x). But the rate of smoking now is x or greater ("higher than ever before"), meaning that 1.2(100x) divided by the current population is greater than or equal to x:
[1.2(100x)][/P] >= x
Multiplying both sides by P and dividing both sides by x, we have:
1.2(100) >= P
24 Jan 2016, 07:57
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shahparth1984
Hi,
I did not read the word RATE in the main Q..
and if rate is given then I would answer the following way..
If RATE is given then we have some numeric value to work on and not merely %s...
the remaining choices apart from C are all talking of numbers of smokers in the population or are talking of 13%, which does not have a basis anywhere..
So we have that number of smokers per 100/1000 person has increased..
and overall % has increased by 20%..
In normal scenario, an increase in % need not say anything about increase in number of smokers or decrease in the number..
say the population could have fallen down by more than 25% and the number of smokers has also fallen down slightly, this will give us an increased % in the number of smokers..
Here however we are given the rate..
so let the rate be x per 1000...
if P was the population then, the number of smokers= Px/1000..
today the rate is higher than x, say the least x+ .0001..
If Pn is the population now, the number of smokers=(x+.0001)Pn/1000...
now it is given that the % is increased by 20%..
so (x+.0001)Pn/1000=1.2*Px/1000..
so Pn=1.2*P*x/(x+.0001)..
now x/(x+.0001) will always be less than 1 and depending on the increase in rate, it will depend how less it is from 1..
so Pn=1.2*P*some value less than 1..
so C is correct..
