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26 Apr 2026, 19:00
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B
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Difficulty:
85%
(hard)
Question Stats:
18% (01:47) correct
82%
(01:57)
wrong
based on 60
sessions
History
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Time
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A neighborhood bakery owner selected some pastries to feature in a weekend display case. Was the number of selected pastries that were fruit-filled but not topped with glaze less than the number of selected pastries that were topped with glaze but not fruit-filled?
(1) Every selected pastry that was fruit-filled was also topped with glaze.
(2) Every selected pastry that was not fruit-filled was also not topped with glaze.
(1) Every selected pastry that was fruit-filled was also topped with glaze.
(2) Every selected pastry that was not fruit-filled was also not topped with glaze.
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30 Apr 2026, 05:15
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GMAT Club Official Solution:
A neighborhood bakery owner selected some pastries to feature in a weekend display case. Was the number of selected pastries that were fruit-filled but not topped with glaze less than the number of selected pastries that were topped with glaze but not fruit-filled?
(1) Every selected pastry that was fruit-filled was also topped with glaze.
If every fruit-filled pastry was also topped with glaze, then the number of pastries that were fruit-filled but not topped with glaze is 0.
The question thus becomes: is 0 less than the number of pastries that were topped with glaze but not fruit-filled?
That could be YES if that number (the number of pastries that were topped with glaze but not fruit-filled) is positive, or NO if that number is also 0.
Not sufficient.
(2) Every selected pastry that was not fruit-filled was also not topped with glaze.
If every pastry that was not fruit-filled was also not topped with glaze, then the number of pastries that were topped with glaze but not fruit-filled is 0.
The question thus becomes: is the number of pastries that were fruit-filled but not topped with glaze less than 0?
Since that number cannot be negative, the answer to the question is NO.
Sufficient.
Answer: B.
A neighborhood bakery owner selected some pastries to feature in a weekend display case. Was the number of selected pastries that were fruit-filled but not topped with glaze less than the number of selected pastries that were topped with glaze but not fruit-filled?
(1) Every selected pastry that was fruit-filled was also topped with glaze.
If every fruit-filled pastry was also topped with glaze, then the number of pastries that were fruit-filled but not topped with glaze is 0.
The question thus becomes: is 0 less than the number of pastries that were topped with glaze but not fruit-filled?
That could be YES if that number (the number of pastries that were topped with glaze but not fruit-filled) is positive, or NO if that number is also 0.
Not sufficient.
(2) Every selected pastry that was not fruit-filled was also not topped with glaze.
If every pastry that was not fruit-filled was also not topped with glaze, then the number of pastries that were topped with glaze but not fruit-filled is 0.
The question thus becomes: is the number of pastries that were fruit-filled but not topped with glaze less than 0?
Since that number cannot be negative, the answer to the question is NO.
Sufficient.
Answer: B.
General Discussion
ankushsambare
Joined: 13 Jun 2022
Last visit: 08 Jun 2026
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26 Apr 2026, 20:06
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Good word problem,
Let
F = fruit-filled pastries
G = glazed pastries
We compare:
number of (F and not G) versus number of (G and not F)
Statement (1):
Every fruit-filled pastry is also glazed.
So F is a subset of G.
This means there are no pastries that are fruit-filled but not glazed.
So (F and not G) = 0.
But (G and not F) could be 0 or positive.
We cannot tell if 0 is less than that or equal to that.
Not sufficient.
Statement (2):
Every pastry that is not fruit-filled is also not glazed.
So if something is glazed, it must be fruit-filled.
This means G is a subset of F.
So there are no pastries that are glazed but not fruit-filled.
So (G and not F) = 0.
But (F and not G) could be 0 or positive.
We cannot determine the comparison.
Not sufficient.
Now combine (1) and (2):
From (1): F ⊆ G
From (2): G ⊆ F
So F = G.
Thus:
(F and not G) = 0
(G and not F) = 0
So the question becomes: is 0 < 0? No.
So answer is definite.
Final answer: C
Let
F = fruit-filled pastries
G = glazed pastries
We compare:
number of (F and not G) versus number of (G and not F)
Statement (1):
Every fruit-filled pastry is also glazed.
So F is a subset of G.
This means there are no pastries that are fruit-filled but not glazed.
So (F and not G) = 0.
But (G and not F) could be 0 or positive.
We cannot tell if 0 is less than that or equal to that.
Not sufficient.
Statement (2):
Every pastry that is not fruit-filled is also not glazed.
So if something is glazed, it must be fruit-filled.
This means G is a subset of F.
So there are no pastries that are glazed but not fruit-filled.
So (G and not F) = 0.
But (F and not G) could be 0 or positive.
We cannot determine the comparison.
Not sufficient.
Now combine (1) and (2):
From (1): F ⊆ G
From (2): G ⊆ F
So F = G.
Thus:
(F and not G) = 0
(G and not F) = 0
So the question becomes: is 0 < 0? No.
So answer is definite.
Final answer: C
