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30 Aug 2019, 06:22
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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:
95%
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Question Stats:
41% (03:05) correct
59%
(02:59)
wrong
based on 148
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Each of the letters in the table above represents one of the numbers 3, 5, or 11, and each of these numbers occurs no more than once within any row or column, with the exception of 5, which may occur up to two times. What is the value of d2?
(1) \(a_1c_2 = 121\)
(2) \(c_1d_1a_2e = 375\)
Attachment:
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30 Aug 2019, 07:51
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Statement 1 ensures that a_1 and c_2 are both 11. If each number (3, 5 and 11) needed to occur exactly once in a row and in a column, this would be sufficient, since it would force d_2 to be 11. But we're allowed to have two fives in a row or column. So another possibility is that d_2 = 3, and all of the remaining letters are 5's. So Statement 1 is not sufficient.
Statement 2 tells us the product of the four numbers which share a row or column with d_2, the number we're interested in. We know that product is 375 = (3)(5^3). So the four numbers in a row or column with d_2 are 3, 5, 5, and 5. So either the row or the column must contain two 5s already, and d_2 cannot be 5, and then the column or row contains 3 and 5, so d_2 cannot be 3 either. So d_2 must be 11, and statement 2 is sufficient. The answer is B.
It's a very good question on a conceptual level, but I can't understand why the unknowns are written using unnecessary subscripts (instead of just using a, b, c, d, e, f, g, h, and then "x" for the letter we're asked to find) - a test taker could reasonably wonder why there is both an a_1 and an a_2 in the grid, for example, and might wonder if those two letters must both equal 5 based on the constraints mentioned in the problem (since there is no other obvious reason to have two "a" letters in the grid). What is the source?
Statement 2 tells us the product of the four numbers which share a row or column with d_2, the number we're interested in. We know that product is 375 = (3)(5^3). So the four numbers in a row or column with d_2 are 3, 5, 5, and 5. So either the row or the column must contain two 5s already, and d_2 cannot be 5, and then the column or row contains 3 and 5, so d_2 cannot be 3 either. So d_2 must be 11, and statement 2 is sufficient. The answer is B.
It's a very good question on a conceptual level, but I can't understand why the unknowns are written using unnecessary subscripts (instead of just using a, b, c, d, e, f, g, h, and then "x" for the letter we're asked to find) - a test taker could reasonably wonder why there is both an a_1 and an a_2 in the grid, for example, and might wonder if those two letters must both equal 5 based on the constraints mentioned in the problem (since there is no other obvious reason to have two "a" letters in the grid). What is the source?
18 Dec 2023, 05:50
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
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