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13 Feb 2026, 14:32
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If each bottle of wine in Tayna’s suitcase weighs 1.75 pounds, does Tayna’s suitcase contain fewer than 8 bottles of wine?
(1) Her suitcase and its contents weigh 13.5 pounds.
(2) Her suitcase weighs 2 pounds when it is empty.
(1) Her suitcase and its contents weigh 13.5 pounds.
(2) Her suitcase weighs 2 pounds when it is empty.
14 Feb 2026, 01:01
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This is a classic Data Sufficiency question that tests your ability to translate word problems into algebra and recognize when you have enough information.
Let me break this down step by step.
Question: Does Tayna's suitcase contain fewer than 8 bottles? (Each bottle weighs 1.75 pounds)
Statement 1: Her suitcase and its contents weigh 13.5 pounds total.
Here's the issue - we know the total weight, but we don't know how much the empty suitcase weighs. If the suitcase itself weighs very little (say 0.5 pounds), then the bottles weigh 13 pounds total, which gives us about 7.4 bottles (13 ÷ 1.75). But if the suitcase weighs 3 pounds, the bottles only weigh 10.5 pounds, giving us 6 bottles. We can't answer definitively. Not sufficient.
Statement 2: Her suitcase weighs 2 pounds when empty.
This tells us the suitcase weight but nothing about how many bottles are inside. Could be 1 bottle, could be 10 bottles. Not sufficient.
Combined:
Now we have both pieces:
- Empty suitcase = 2 pounds
- Total weight = 13.5 pounds
- So bottles alone = 13.5 - 2 = 11.5 pounds
- Number of bottles = 11.5 ÷ 1.75 = 6.57...
Since we can't have a fractional bottle, the suitcase contains 6 complete bottles (7 bottles would weigh 12.25 pounds, plus the 2-pound suitcase = 14.25 pounds, which exceeds our total). So yes, fewer than 8 bottles. Sufficient.
Answer: C
The common trap: Students often try too hard to "solve" Statement 1 alone and waste time. In my prep, I learned that when you see two unknowns (suitcase weight + number of bottles), you almost always need both statements. The GMAT loves this pattern in Data Sufficiency questions about weights, mixtures, or rates.
Takeaway: In DS, quickly identify how many unknowns you have versus how many equations. Two unknowns typically need two pieces of information.
Let me break this down step by step.
Question: Does Tayna's suitcase contain fewer than 8 bottles? (Each bottle weighs 1.75 pounds)
Statement 1: Her suitcase and its contents weigh 13.5 pounds total.
Here's the issue - we know the total weight, but we don't know how much the empty suitcase weighs. If the suitcase itself weighs very little (say 0.5 pounds), then the bottles weigh 13 pounds total, which gives us about 7.4 bottles (13 ÷ 1.75). But if the suitcase weighs 3 pounds, the bottles only weigh 10.5 pounds, giving us 6 bottles. We can't answer definitively. Not sufficient.
Statement 2: Her suitcase weighs 2 pounds when empty.
This tells us the suitcase weight but nothing about how many bottles are inside. Could be 1 bottle, could be 10 bottles. Not sufficient.
Combined:
Now we have both pieces:
- Empty suitcase = 2 pounds
- Total weight = 13.5 pounds
- So bottles alone = 13.5 - 2 = 11.5 pounds
- Number of bottles = 11.5 ÷ 1.75 = 6.57...
Since we can't have a fractional bottle, the suitcase contains 6 complete bottles (7 bottles would weigh 12.25 pounds, plus the 2-pound suitcase = 14.25 pounds, which exceeds our total). So yes, fewer than 8 bottles. Sufficient.
Answer: C
The common trap: Students often try too hard to "solve" Statement 1 alone and waste time. In my prep, I learned that when you see two unknowns (suitcase weight + number of bottles), you almost always need both statements. The GMAT loves this pattern in Data Sufficiency questions about weights, mixtures, or rates.
Takeaway: In DS, quickly identify how many unknowns you have versus how many equations. Two unknowns typically need two pieces of information.
