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07 Jul 2025, 08:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:56) correct
32%
(01:51)
wrong
based on 518
sessions
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A department store received a shipment of two types of boxes on Monday: fragile and non-fragile. Did more than half of the fragile boxes contain electronics?
(1) Two-thirds of the boxes in the shipment are fragile.
(2) Four-fifths of the boxes in the shipment contain electronics.
(1) Two-thirds of the boxes in the shipment are fragile.
(2) Four-fifths of the boxes in the shipment contain electronics.
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07 Jul 2025, 08:30
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A department store received a shipment of two types of boxes on Monday: fragile and non-fragile. Did more than half of the fragile boxes contain electronics?
(1) Two-thirds of the boxes in the shipment are fragile.
This is insufficient, as we are given no information about how many boxes contain electronics.
(2) Four-fifths of the boxes in the shipment contain electronics.
If 80% (4/5) of the boxes were non-fragile and all of those contained electronics, then none of the fragile boxes would contain electronics (answer: NO). On the other hand, if 80% of the boxes were fragile and all of those contained electronics, then all fragile boxes would contain electronics (answer: YES). Not sufficient.
(1)+(2) Assume there are 15 boxes in total (LCM of 3 and 5).
From (1), we get that 10 fragile boxes and 5 non-fragile.
From (2), we get that 12 boxes contain electronics.
Even in the worst case where all 5 non-fragile boxes contain electronics, the remaining 7 electronics boxes must be among the 10 fragile boxes. So at least 7 out of 10 fragile boxes contain electronics, which is more than half.
Sufficient.
Answer: C.
GMAT Club Official Explanation:
A department store received a shipment of two types of boxes on Monday: fragile and non-fragile. Did more than half of the fragile boxes contain electronics?
(1) Two-thirds of the boxes in the shipment are fragile.
This is insufficient, as we are given no information about how many boxes contain electronics.
(2) Four-fifths of the boxes in the shipment contain electronics.
If 80% (4/5) of the boxes were non-fragile and all of those contained electronics, then none of the fragile boxes would contain electronics (answer: NO). On the other hand, if 80% of the boxes were fragile and all of those contained electronics, then all fragile boxes would contain electronics (answer: YES). Not sufficient.
(1)+(2) Assume there are 15 boxes in total (LCM of 3 and 5).
From (1), we get that 10 fragile boxes and 5 non-fragile.
From (2), we get that 12 boxes contain electronics.
Even in the worst case where all 5 non-fragile boxes contain electronics, the remaining 7 electronics boxes must be among the 10 fragile boxes. So at least 7 out of 10 fragile boxes contain electronics, which is more than half.
Sufficient.
Answer: C.
General Discussion
07 Jul 2025, 08:21
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Statements 1 and 2 Alone are insufficient as they do not tell us about Fragile or Electronics together.
Let's try combining:
Take total items = 30
F=20 and NF=10
Electronics = 24
Even if we put all 10 NF in electronics, we still get 14 for F, which is more than half. Hence, C is the answer!
Let's try combining:
Take total items = 30
F=20 and NF=10
Electronics = 24
Even if we put all 10 NF in electronics, we still get 14 for F, which is more than half. Hence, C is the answer!
Bunuel
