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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
The table above is a 3 by 3 grid of 9 numbers, 5 of which are given. T
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02 Jan 2023, 11:15
02 Jan 2023, 11:15
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Question Stats:
66% (01:16) correct
33% (02:54) wrong based on 3 sessions
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The table above is a 3 by 3 grid of 9 numbers, 5 of which are given. The 4 numbers that are not given are denoted by A, B, C, and D. The product of the numbers in each row and in each column is the same for all rows and columns. What is the value of the product ABCD?
A) 36
B) 72
C) \(36\sqrt{2}\)
D) \(36\sqrt{3}\)
E) \(72\sqrt{6}\)
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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: The table above is a 3 by 3 grid of 9 numbers, 5 of which are given. T
[#permalink]
05 Jan 2023, 10:05
05 Jan 2023, 10:05
1
Expert Reply
From Second column we see that the multiplication for each row/columns should be \(= 6 * \sqrt{6}\)
\(= 2 * 3 * \sqrt{3} * \sqrt{2}\)
\(AB * \sqrt{3}\) \(= 2 * 3 * \sqrt{3} * \sqrt{2}\)
\(AB = 6 * \sqrt{2}\)
\(CD * 2\sqrt{3}\) \(= 2 * 3 * \sqrt{3} * \sqrt{2}\)
\(CD = 3 * \sqrt{2}\)
\(AB * CD = 6 * \sqrt{2} * 3 * \sqrt{2}\)
\(AB * CD = 18 * 2\)
\(AB * CD = 36\)
Answer: A
\(= 2 * 3 * \sqrt{3} * \sqrt{2}\)
\(AB * \sqrt{3}\) \(= 2 * 3 * \sqrt{3} * \sqrt{2}\)
\(AB = 6 * \sqrt{2}\)
\(CD * 2\sqrt{3}\) \(= 2 * 3 * \sqrt{3} * \sqrt{2}\)
\(CD = 3 * \sqrt{2}\)
\(AB * CD = 6 * \sqrt{2} * 3 * \sqrt{2}\)
\(AB * CD = 18 * 2\)
\(AB * CD = 36\)
Answer: A
gmatclubot
Re: The table above is a 3 by 3 grid of 9 numbers, 5 of which are given. T [#permalink]
05 Jan 2023, 10:05
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