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02 Jun 2025, 00:30
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Difficulty:
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83% (01:22) correct
17%
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30% of the residents of Tafta City own cars. However, 70% of the residents of Hampton, a suburb in Tafta City, are car owners. So. it can be concluded that the total number of cars owned by residents of Hampton exceeds the total number of cars owned by the rest of the residents of Tafta City.
The answer to which of the following questions would be most important in determining whether the above conclusion is correct?
(A) What is the total population of Tafta City?
(B) What proportion of the population of Tafta City resides in Hampton?
(C) What is the total number of cars owned by residents of Tafta City?
(D) What is the total number of people residing in Hampton?
(E) What proportion of the population of Tafta City has bought cars from outside Tafta City?
The answer to which of the following questions would be most important in determining whether the above conclusion is correct?
(A) What is the total population of Tafta City?
(B) What proportion of the population of Tafta City resides in Hampton?
(C) What is the total number of cars owned by residents of Tafta City?
(D) What is the total number of people residing in Hampton?
(E) What proportion of the population of Tafta City has bought cars from outside Tafta City?
02 Jun 2025, 08:06
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Bunuel
30% of the residents of Tafta city own car.
70% of the residents of suburb of Tafta city (Hampton city) owns car.
The conclusion is that the total number of cars owned by residents of Hampton exceeds the total number of cars owned by the rest of the residents of Tafta City.
(A) What is the total population of Tafta City?
Not sufficient. Knowing the total population of Tafta city doesn't help determine the number of car owners in Hampton.
(B) What proportion of the population of Tafta City resides in Hampton?
Sufficient. The information enables calculation of the number of car owners in both Hampton and the rest of Tafta City. The answer to this statement helps us to determine the comparison between the two cities.
(C) What is the total number of cars owned by residents of Tafta City?
Not sufficient. While this provides the total number of cars, the distribution between Hampton and the rest of the city cannot be confirmed.
(D) What is the total number of people residing in Hampton?
Not sufficient. Knowing the total number of people in Hampton doesn't provide information about the number of car owners in Hampton or the rest of Tafta City.
(E) What proportion of the population of Tafta City has bought cars from outside Tafta City?
Irrelevant. This information is not sufficient to answer the conclusion.
Option B
05 Jul 2025, 01:30
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Bunuel
Official Explanation
Answer: B
The argument only provides us with percentages; it never gives us any absolute number. We know that 30% of the total residents of Tafta City own cars but we don’t know what this number is. Again, we know that 70% of the residents of Hampton own cars, but we don’t know what proportion of the total population of Tafta City are these residents.
Say the total population of Tafta City is 100. Out of these, 30 people own cars. Now let’s look at two possibilities:
Possibility 1: 20% of the population of Tafta City lives in Hampton. So the total number of cars in Hampton is 14, whereas the total number of cars owned by the rest of the residents of Tafta City is (30-14) = 16. Thus, the conclusion of the argument is NOT true.
Possibility 2: 30% of the population of Tafta City lives in Hampton. So the total number of cars in Hampton is 21, whereas the total number of cars owned by the rest of the residents of Tafta City is (30-21) = 9. Thus, the conclusion of the argument IS true.
So to evaluate whether the conclusion of the argument is true or not, we need to know what proportion of the population of Tafta City resides in Hampton. B states this and is the correct answer.
(A) Knowing the total population will not help unless we know the proportion that stays in Hampton.
(B) The correct answer.
(C) Knowing the total number of cars does not help unless you know what proportion of these are in Hampton.
(D) This may look tempting but will not help unless you know what percentage of the population of Tafta City is this number.
(E) Irrelevant fact.
