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# If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th

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Math Expert
Joined: 02 Sep 2009
Posts: 53657
If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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16 Jan 2019, 23:04
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Difficulty:

25% (medium)

Question Stats:

73% (02:05) correct 27% (02:42) wrong based on 40 sessions

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If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all the fractions whose numerators are in A and whose denominators are in B, what is the product of all of the numbers in C?

(A) $$\frac{1}{64}$$

(B) $$\frac{1}{48}$$

(C) $$\frac{1}{24}$$

(D) $$\frac{1}{12}$$

(E) $$\frac{1}{2}$$

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Concentration: Finance, Marketing
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Re: If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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16 Jan 2019, 23:21
C = $$\frac{1}{2}*\frac{2}{3}*\frac{3}{4}$$ = $$\frac{1}{4}$$

Bunuel, can you check the options?
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Re: If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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16 Jan 2019, 23:38
Afc0892 wrote:
C = $$\frac{1}{2}*\frac{2}{3}*\frac{3}{4}$$ = $$\frac{1}{4}$$

Bunuel, can you check the options?

Options are correct. You got tricked by the question. Try again.
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Re: If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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16 Jan 2019, 23:41
C= 1/2*1/3*1/4=1/24

Option C

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Re: If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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16 Jan 2019, 23:50
1/2*1/3*1/4*2/3*2/4*3/2*3/4 = 1/64

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Joined: 13 Feb 2018
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Re: If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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17 Jan 2019, 02:57
1/2*1/3*1/4*2/3*2/4*3/2*3/4 = 1/64

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The first and the fifth terms are the same
1/2=2/4
and I think the trickiness of the question lies there
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If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th  [#permalink]

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17 Jan 2019, 04:56
1
LevanKhukhunashvili wrote:
1/2*1/3*1/4*2/3*2/4*3/2*3/4 = 1/64

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The first and the fifth terms are the same
1/2=2/4
and I think the trickiness of the question lies there

LevanKhukhunashvili

question says product of all the numbers in c : so IMO 1/64 would be correct..
I agree that 1/2 is repetitive but no where does the question say that the set has distinct numbers..
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If A = {1, 2, 3}, B = {2, 3, 4}, and C is the set consisting of all th   [#permalink] 17 Jan 2019, 04:56
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