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26 Jan 2026, 20:57
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
58% (02:16) correct
42%
(02:19)
wrong
based on 157
sessions
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Not Attempted Yet
Pete is arranging layer upon layer of lines of brick to build a wall. The bricks are identical except that some are full bricks and some are half-bricks. The combined length of twenty full bricks equals the length of the wall. The layers alternate such that for any two successive layers, one is entirely composed of full bricks and the other has a half brick at each end but is otherwise entirely composed of full bricks. Considering that the small gaps between bricks and between layers are negligible, how many bricks—full bricks and half-bricks combined—will Pete need for the wall?
(1) The pieces at both ends of the top layer are full bricks.
(2) The combined height of twenty-two bricks equals the height of the wall.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.
(1) The pieces at both ends of the top layer are full bricks.
(2) The combined height of twenty-two bricks equals the height of the wall.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.
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27 Jan 2026, 06:59
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mlinsky2828
This was my thought process:
Some layers are only 20 full bricks. Other layers have 2 half bricks and rest all full bricks. So assume that in these layers, the first brick was picked and broken into two to give us 2 half bricks. So these layers have 21 bricks (full or half). To find how many bricks are needed, I need to find the number of layers of "only 20 full bricks" and number of layers of '2 half bricks + 19 full bricks."
(1) The pieces at both ends of the top layer are full bricks.
This means the top layer has 20 bricks but how many total layers are there, we don't know. The wall could have 10 layers or 100 layers.
Not sufficient alone.
(2) The combined height of twenty-two bricks equals the height of the wall.
This tells us that there are total 22 layers. This seems to combine with statement (1) to give us the answer but note that it is an easy (C). So look a little carefully. 22 layers means 11 layers are all full brick layers and 11 layers are half + full brick layers. So we can easily find the total number of bricks (which is 11*20 + 11*21). Does it matter whether the top layer is of all full bricks or half + full bricks? No.
Hence this statement alone is sufficient.
Answer (B)
27 Jan 2026, 10:00
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Pete is arranging layer upon layer of lines of brick to build a wall. The bricks are identical except that some are full bricks and some are half-bricks. The combined length of twenty full bricks equals the length of the wall. The layers alternate such that for any two successive layers, one is entirely composed of full bricks and the other has a half brick at each end but is otherwise entirely composed of full bricks. Considering that the small gaps between bricks and between layers are negligible, how many bricks—full bricks and half-bricks combined—will Pete need for the wall?
We know from the passage the following:
The combined length of twenty full bricks equals the length of the wall.
So, to calculate the number of full and half bricks necessary for completing the wall, we need to know two more things:
- How many brick heights the height of the wall is.
- How many rows will be composed of only full bricks and how many rows will have half bricks at the two ends.
(1) The pieces at both ends of the top layer are full bricks.
This statement tells us only about the top row and does not provide any indication of the height of the wall.
Insufficient.
(2) The combined height of twenty-two bricks equals the height of the wall.
This statement gives us the height of the wall.
Also, while this statement does not indicate exactly which rows will contain only full bricks and which will have half bricks at the ends, it does indicate how many rows will use half bricks and how many will not.
After all, the passage says the following:
The layers alternate such that for any two successive layers, one is entirely composed of full bricks and the other has a half brick at each end but is otherwise entirely composed of full bricks.
Simply put, that sentence conveys that every other row will have half bricks at the ends.
Thus, since this statement indicates that the number of rows will be even, "twenty-two," we can see that there will be 11 rows with only full bricks and 11 with half bricks at the ends, regardless of whether the top row has half bricks.
Thus, without actually calculating the numbers of full and half bricks, we can see that this statement provides information sufficient for determining how many full and half bricks are needed.
In case anyone wants to see it, here's the calculation:
Full brick rows:
11 × 20 = 220 full bricks
Rows with half bricks:
11 × 19 = 209 full bricks
11 × 2 = 22 half bricks
or
11 × 21 = 231 bricks
Total:
220 + 231 = 451 bricks
Sufficient.
Correct answer: B
We know from the passage the following:
The combined length of twenty full bricks equals the length of the wall.
So, to calculate the number of full and half bricks necessary for completing the wall, we need to know two more things:
- How many brick heights the height of the wall is.
- How many rows will be composed of only full bricks and how many rows will have half bricks at the two ends.
(1) The pieces at both ends of the top layer are full bricks.
This statement tells us only about the top row and does not provide any indication of the height of the wall.
Insufficient.
(2) The combined height of twenty-two bricks equals the height of the wall.
This statement gives us the height of the wall.
Also, while this statement does not indicate exactly which rows will contain only full bricks and which will have half bricks at the ends, it does indicate how many rows will use half bricks and how many will not.
After all, the passage says the following:
The layers alternate such that for any two successive layers, one is entirely composed of full bricks and the other has a half brick at each end but is otherwise entirely composed of full bricks.
Simply put, that sentence conveys that every other row will have half bricks at the ends.
Thus, since this statement indicates that the number of rows will be even, "twenty-two," we can see that there will be 11 rows with only full bricks and 11 with half bricks at the ends, regardless of whether the top row has half bricks.
Thus, without actually calculating the numbers of full and half bricks, we can see that this statement provides information sufficient for determining how many full and half bricks are needed.
In case anyone wants to see it, here's the calculation:
Full brick rows:
11 × 20 = 220 full bricks
Rows with half bricks:
11 × 19 = 209 full bricks
11 × 2 = 22 half bricks
or
11 × 21 = 231 bricks
Total:
220 + 231 = 451 bricks
Sufficient.
Correct answer: B
