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Difficulty:
15%
(low)
Question Stats:
87% (02:32) correct
13%
(02:51)
wrong
based on 1120
sessions
History
Date
Time
Result
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Each of 1,455 runners registered to run in an upcoming marathon answered "Yes" or "No" to two questions on the registration form: (1) Do you run at least 25 miles per week? and (2) Do you experience joint pain? Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question, where x > y.
Select for x and for y values that are jointly consistent with the given information. Make only two selections, one in each column.
GMAT-Club-Forum-18lf6iy1.png [ 201.62 KiB | Viewed 6603 times ]
Select for x and for y values that are jointly consistent with the given information. Make only two selections, one in each column.
Attachment:
GMAT-Club-Forum-18lf6iy1.png [ 201.62 KiB | Viewed 6603 times ]
| x | y | |
| 75 | ||
| 145 | ||
| 215 | ||
| 290 | ||
| 455 |
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Posts: 1
I got stuck on this one too so I'll reply:
The key thing is here to read carefully: Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.
Basically this is saying 785 + 380 = 1170 is what people said "Yes" to the first question. Given we know the "Yes" now and 1,455 of total participants, we can figure out the number of "No" for the 1st question which is 290.
Now it's asking us what happened to the 290 so we know that x + y must equals 290 and x>y so we are just looking for two values that add up to 290. Hope that helps
The key thing is here to read carefully: Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.
Basically this is saying 785 + 380 = 1170 is what people said "Yes" to the first question. Given we know the "Yes" now and 1,455 of total participants, we can figure out the number of "No" for the 1st question which is 290.
Now it's asking us what happened to the 290 so we know that x + y must equals 290 and x>y so we are just looking for two values that add up to 290. Hope that helps
Posts: 61
Total people = 1455.
There are 2 questions in consideration :
1. run >25m/week ?
2. joint pain experienced ?
Possible options 2 - Yes or No.
Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.
From the above statement we can say that 785 + 380 answered yes to the first question = 1165.
From this we can also infer that 1455 - 1165 = the number of people who answered NO to the first question = 290
II. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question
from here we can say that 785+ x + 380+ y = 1165 +x + y = 1455 or simply x + y = 290.
Or x = 290 - y.
We also know that x>y
Simply put the values from the options to check.
i.e put y = 75 we get x = 215.
Which satisfies the conditions.
Apologies for the formatting of the tables, believe me i tried but unfortunately was unable to reduce the gap.
There are 2 questions in consideration :
1. run >25m/week ?
2. joint pain experienced ?
Possible options 2 - Yes or No.
Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question.
| Question | Yes | No |
| run >25m/week ? | 1165 | |
| joint pain experienced ? | 785 | 380 |
From the above statement we can say that 785 + 380 answered yes to the first question = 1165.
From this we can also infer that 1455 - 1165 = the number of people who answered NO to the first question = 290
II. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question
| Question | Yes | No |
| run >25m/week ? | 1165 | 290 |
| joint pain experienced ? | 785+x | 380+y |
from here we can say that 785+ x + 380+ y = 1165 +x + y = 1455 or simply x + y = 290.
Or x = 290 - y.
We also know that x>y
Simply put the values from the options to check.
i.e put y = 75 we get x = 215.
Which satisfies the conditions.
| x | y | Values |
| * | 75 | |
| 145 | ||
| * | 215 | |
| 290 | ||
| 455 |
Apologies for the formatting of the tables, believe me i tried but unfortunately was unable to reduce the gap.
General Discussion
785 - Yes to first question, Yes to second question
380- Yes to first question, No to second question
Total yes to first question = 785+380= 1165
1455-1165 = 290
290 = x(No to first, yes to second)+y(No to first, no to second)
x>y so x = 215,y= 75
Posted from my mobile device
380- Yes to first question, No to second question
Total yes to first question = 785+380= 1165
1455-1165 = 290
290 = x(No to first, yes to second)+y(No to first, no to second)
x>y so x = 215,y= 75
Posted from my mobile device
munir151991
==
Should be 1165 and not 1170
SMQazi
Joined: 31 Aug 2021
Last visit: 06 Jan 2025
Posts: 14
Location: India
Schools: Stanford Sloan (MIT)
GPA: 3.73
Schools: Stanford Sloan (MIT)
Posts: 14
Quote:
I solved it using 2x2 matrix
where
MY - people who said yes to running 25 miles
MN - People who said no to running 25 miles
JY - People who said yes to joint pain
JN - people who said no to joint pain
given x>y, then it's just a matter of plugging values for X and Y that equal 280. Hence, x=215, y=75.
Attachments
1.png [ 4.43 KiB | Viewed 9019 times ]
az168
Added the tag. Thank you.
The same question with different options: https://gmatclub.com/forum/each-of-1-45 ... 46071.html
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how did we determine, x>y? Thanks!
bhavsan
Check the highlighted part:
Each of 1,455 runners registered to run in an upcoming marathon answered "Yes" or "No" to two questions on the registration form: (1) Do you run at least 25 miles per week? and (2) Do you experience joint pain? Of those who answered "Yes" to the first question, 785 answered "Yes" to the second question, and 380 answered "No" to the second question. Of those who answered "No" to the first question, x runners answered "Yes" to the second question, and y runners answered "No" to the second question, where x > y.
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its good to use matrix method
Given in last sentence X>Y
As per table (X=215)+(Y=75)=290
| 25 miles/week Yes | 25 miles/week No | Total | |
| Joint Pain Yes | 785 | X | |
| Joint Pain No | 380 | Y | |
| Total | 1165 | 290 | 1455 |
Given in last sentence X>Y
As per table (X=215)+(Y=75)=290
carbazzy
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