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17 Jan 2022, 04:47
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SOLVING IT BY OVERLAPPING SETS METHOD
x = number of winners
thus, there are no losers in this set => NO SWIMMING MEDAL & NO DIVING MEDAL = 0
I hadn't understood the question either so in simple terms, we have to find number of people who won a diving medal but did not win a swimming medal and vice versa.
first, we write what is given.
we have to find the highlighted boxes i.e. D&NS S&ND
making this answer took a lot of my effort; let me know if it helped you.
x = number of winners
thus, there are no losers in this set => NO SWIMMING MEDAL & NO DIVING MEDAL = 0
I hadn't understood the question either so in simple terms, we have to find number of people who won a diving medal but did not win a swimming medal and vice versa.
first, we write what is given.
we have to find the highlighted boxes i.e. D&NS S&ND
making this answer took a lot of my effort; let me know if it helped you.
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09 Oct 2024, 01:58
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Quote:
This part tells us that number of individuals who did not win a medal either in Swimming or Diving is 0 and we need to find the summation of the yellow highlighted part in below image.
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GMAT-Club-Forum-syzv8h9a.png [ 235.82 KiB | Viewed 407 times ]
06 Jun 2026, 07:29
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The key is to carefully identify the group that the question wants us to exclude.
There are x total people who won an Olympic medal for water competitions.
One-third of the winners earned a medal for swimming.
So the number of swimming medalists is:
x/3
One-fourth of the swimming medalists also earned a medal for diving.
So the number of people who earned medals for both swimming and diving is:
1/4 × x/3 = x/12
The question asks how many people won an Olympic medal for water competitions but did not both receive a medal for swimming and diving.
So we subtract the “both swimming and diving” group from the total:
x - x/12 = 12x/12 - x/12 = 11x/12
Therefore, the correct answer is A. 11x/12.
Takeaway: The phrase “did not both” means we should exclude only the people who received medals in both swimming and diving, not everyone who received either a swimming medal or a diving medal.
There are x total people who won an Olympic medal for water competitions.
One-third of the winners earned a medal for swimming.
So the number of swimming medalists is:
x/3
One-fourth of the swimming medalists also earned a medal for diving.
So the number of people who earned medals for both swimming and diving is:
1/4 × x/3 = x/12
The question asks how many people won an Olympic medal for water competitions but did not both receive a medal for swimming and diving.
So we subtract the “both swimming and diving” group from the total:
x - x/12 = 12x/12 - x/12 = 11x/12
Therefore, the correct answer is A. 11x/12.
Takeaway: The phrase “did not both” means we should exclude only the people who received medals in both swimming and diving, not everyone who received either a swimming medal or a diving medal.
Bunuel
