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21 Dec 2024, 04:39
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g + c = 72
c = 72 - g
i) 1/4 g + 1/9 c = Vaccinated
We need, |1/4g - 1/9c|
|(1/4g) - (1/9(72 - g))|
|(1/4g) - 8 + (1/9g)|
|(13g/36) - 8|
g has to be divisible by 36 as the difference can't be fraction
so the only possibilities are 36 & 72
But since, there is atleast 1 cow & 1 goat ; g cannot be 72
Therefore, g = 36 & c = 36
Hence, |13 - 8| = 5
Sufficient
ii) V (c) / V (g) = 9 : 4
From this, we'll not get a unique value for the difference
Hence, Not Sufficient
IMO A
c = 72 - g
i) 1/4 g + 1/9 c = Vaccinated
We need, |1/4g - 1/9c|
|(1/4g) - (1/9(72 - g))|
|(1/4g) - 8 + (1/9g)|
|(13g/36) - 8|
g has to be divisible by 36 as the difference can't be fraction
so the only possibilities are 36 & 72
But since, there is atleast 1 cow & 1 goat ; g cannot be 72
Therefore, g = 36 & c = 36
Hence, |13 - 8| = 5
Sufficient
ii) V (c) / V (g) = 9 : 4
From this, we'll not get a unique value for the difference
Hence, Not Sufficient
IMO A
Bunuel
ravitejab1
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23 Dec 2024, 13:22
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GFor statement 2: Why is it not sufficient?
Given: Gv/Cv = 9/4 => 4Gv = 9CV
This condition should be satisfied and the sum of 4Gv + 9Cv = 72.
Multiples of 4 below 72 but above 9 = 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 9 below 72 = 9, 18, 27, 36, 45, 49, 54, 63
Only 36 is multiple of both 4 & 9 and the sum is 72. so answer is 4Gv= 36 & 9Cv=36, Difference = 9-4 = 5
This is essentially the same statement as 1st but with different wording? Can some one please advise if i miss something here?
Given: Gv/Cv = 9/4 => 4Gv = 9CV
This condition should be satisfied and the sum of 4Gv + 9Cv = 72.
Multiples of 4 below 72 but above 9 = 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 9 below 72 = 9, 18, 27, 36, 45, 49, 54, 63
Only 36 is multiple of both 4 & 9 and the sum is 72. so answer is 4Gv= 36 & 9Cv=36, Difference = 9-4 = 5
This is essentially the same statement as 1st but with different wording? Can some one please advise if i miss something here?
23 Dec 2024, 13:34
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ravitejab1
Why should the red part be correct? We are just given the ratio of vaccinated goats to vaccinated cows is 9 to 4.
Here is a solution for (2):
If the number of vaccinated goats and cows are 9 and 4, respectively, the difference would be 5. However, if those numbers are 18 and 8, the difference would be 10. We already have two different answers; hence, this statement is not sufficient.
Please review complete solution here: https://gmatclub.com/forum/12-days-of-c ... l#p3502554
