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ab = 3, bc = 6, ca = 2, and a > 0. What is abc?
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24 Nov 2021, 09:58
24 Nov 2021, 09:58
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ab = 3, bc = 6, ca = 2, and a > 0. What is abc?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
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Posts: 6218
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Re: ab = 3, bc = 6, ca = 2, and a > 0. What is abc?
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24 Nov 2021, 11:49
24 Nov 2021, 11:49
Carcass wrote:
ab = 3, bc = 6, ca = 2, and a > 0. What is abc?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Given: ab = 3, bc = 6, ca = 2
From this, we can conclude that: (ab)(bc)(ca) = (3)(6)(2)
Simplify: a²b²c² = 36
Rewrite as follows: (abc)² = 36
This means EITHER abc = 6 OR abc = -6
However, since we're told a is positive, we know that b must be positive (since ab = 3), which means c is also positive (since bc = 6)
So, if a, b and c are all positive, then it must be the case that abc = 6
Answer: C
gmatclubot
Re: ab = 3, bc = 6, ca = 2, and a > 0. What is abc? [#permalink]
24 Nov 2021, 11:49
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