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05 Feb 2026, 22:46
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
56% (01:36) correct
44%
(01:49)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
A potato harvest has been unevenly stored in sacks, such that 60 percent meet the listed weight and all others are under weight. What is the total number of potato sacks?
(1) The listed weight is 150 pounds, and the total weight of sacks that meet it is 22,500 pounds.
(2) The total number of sacks that don’t meet the listed weight is 100.
(1) The listed weight is 150 pounds, and the total weight of sacks that meet it is 22,500 pounds.
(2) The total number of sacks that don’t meet the listed weight is 100.
06 Feb 2026, 03:01
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This is a weighted average problem disguised as Data Sufficiency. The key concept being tested is whether you can connect percentages to actual quantities.
Step 1: Set up what we know
Let T = total number of sacks
60% of sacks meet the listed weight (0.6T sacks)
40% are under weight (0.4T sacks)
We need to find T.
Step 2: Analyze Statement (1)
Statement (1): The listed weight is 150 pounds, and the total weight of sacks that meet it is 22,500 pounds.
If each of the 0.6T sacks weighs exactly 150 pounds, then:
0.6T x 150 = 22,500
90T = 22,500
T = 250
This gives us a definite answer.
Sufficient on its own.
Step 3: Analyze Statement (2)
Statement (2): The total number of sacks that don't meet the listed weight is 100.
If 40% of sacks = 100, then:
0.4T = 100
T = 250
This also gives us a definite answer.
Sufficient on its own.
Step 4: Determine the answer
Since each statement alone is sufficient, the answer is D (each alone is sufficient).
Common trap: Many students think Statement (1) is insufficient because it doesn't tell us about the underweight sacks. But we don't need that information — we know 60% meet the weight, and Statement (1) tells us exactly how many that is through the total weight. This is a classic DS trap where students assume they need more information than they actually do. Always ask yourself: "Can I find what's being asked with JUST this statement?" before dismissing it.
Takeaway: In Data Sufficiency with percentages, if you know the percentage AND the actual count (or total value) for any single part, you can always find the whole. Don't fall for the trap of thinking you need information about all the pieces.
Step 1: Set up what we know
Let T = total number of sacks
60% of sacks meet the listed weight (0.6T sacks)
40% are under weight (0.4T sacks)
We need to find T.
Step 2: Analyze Statement (1)
Statement (1): The listed weight is 150 pounds, and the total weight of sacks that meet it is 22,500 pounds.
If each of the 0.6T sacks weighs exactly 150 pounds, then:
0.6T x 150 = 22,500
90T = 22,500
T = 250
This gives us a definite answer.
Sufficient on its own.
Step 3: Analyze Statement (2)
Statement (2): The total number of sacks that don't meet the listed weight is 100.
If 40% of sacks = 100, then:
0.4T = 100
T = 250
This also gives us a definite answer.
Sufficient on its own.
Step 4: Determine the answer
Since each statement alone is sufficient, the answer is D (each alone is sufficient).
Common trap: Many students think Statement (1) is insufficient because it doesn't tell us about the underweight sacks. But we don't need that information — we know 60% meet the weight, and Statement (1) tells us exactly how many that is through the total weight. This is a classic DS trap where students assume they need more information than they actually do. Always ask yourself: "Can I find what's being asked with JUST this statement?" before dismissing it.
Takeaway: In Data Sufficiency with percentages, if you know the percentage AND the actual count (or total value) for any single part, you can always find the whole. Don't fall for the trap of thinking you need information about all the pieces.
08 Feb 2026, 16:45
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ExpertsGlobal5
Explanation:
Let the listed weight be W.
Let the total number of potato sacks be N.
Since 60% of the potato sacks meet the listed weight, there are 0.6N potato sacks, each weighing W.
We need to find whether the value of N can be determined.
Statement (1)
The listed weight is 150 pounds: W = 150
The total weight of sacks that meet the listed weight W is 22,500 pounds: 0.6N x W = 22500
Since we have 2 equations with 2 unknown variables, it is possible to determine the exact value of N. Hence, Statement (1) is sufficient.
Statement (2)
Since 0.6N potato sacks meet the listed weight, it follows that 0.4N potato sacks do not meet the listed weight.
0.4N = 100
It is possible to determine the exact value of N. Hence, Statement (2) is sufficient.
D is the correct answer choice.
