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KushagraKirtiman

Gangadhar111990
­Of the 60 girls at a summer camp, 75 percent chose to learn rowing and 25 percent chose to learn archery. How many of the camp's girls chose to learn rowing but not archery?

(1) 15 of the girls at the camp chose to learn archery but not rowing.

(2) None of the girls at the camp chose to learn neither rowing nor archery.



 
­Wrong, the 75% and 25% can include intersections. S-2 just tells us that the all girls atleast one of the games. How can we conclude from that if the intersection would be zero
­From the stem:

{Total} = {Rowing} + {Archery} - {Both} + {Neither}
60 = 45 + 15 - {Both} + {Neither}
{Both} = {Neither}
The question asks to find {Rowing} - {Both}

From (2): 

{Neither} = 0
Thus {Both} = {Neither} = 0, and {Rowing} - {Both} = 45 - 0 = 45.

P.S. You should read the question and provided solution more carefully and avoid jumping to conclusions too quickly.­
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Bunuel

KushagraKirtiman

Gangadhar111990
­Of the 60 girls at a summer camp, 75 percent chose to learn rowing and 25 percent chose to learn archery. How many of the camp's girls chose to learn rowing but not archery?

(1) 15 of the girls at the camp chose to learn archery but not rowing.

(2) None of the girls at the camp chose to learn neither rowing nor archery.




 
­Wrong, the 75% and 25% can include intersections. S-2 just tells us that the all girls atleast one of the games. How can we conclude from that if the intersection would be zero
­From the stem:


{Total} = {Rowing} + {Archery} - {Both} + {Neither}
60 = 45 + 15 - {Both} + {Neither}
{Both} = {Neither}
The question asks to find {Rowing} - {Both}

From (2): 


{Neither} = 0
Thus {Both} = {Neither} = 0, and {Rowing} - {Both} = 45 - 0 = 45.

P.S. You should read the question and provided solution more carefully and avoid jumping to conclusions too quickly.­
­Thanks, understood
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750-Scorer Concise Solution

Given:

Total girls = 60
Rowing = 75% = 45
Archery = 25% = 15

Need: Rowing only = 45 - Both

So the target is:

Can we determine the overlap (Both)?

---

Statement (1)

15 chose archery but not rowing.

Archery total = 15, so:

Archery only + Both = 15
15 + Both = 15
Both = 0

Therefore:

Rowing only = 45 - 0 = 45

Sufficient.

---

Statement (2)

None chose neither.

Use:

Total = Rowing + Archery - Both

60 = 45 + 15 - Both

Both = 0

Therefore:

Rowing only = 45 - 0 = 45

Sufficient.

---

Answer

(D) EACH statement ALONE is sufficient.

---

GMAT Takeaway

For 2-set DS questions, immediately write:

Only = Total - Both

The only unknown you need is the overlap. Ignore other unknowns if they cannot affect the target value.
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