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Set S = {2, 4, 6, 11} Set T = {50, 100, 200}

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Carcass
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Set S = {2, 4, 6, 11} Set T = {50, 100, 200} [#permalink] New post   09 Jun 2021, 00:13
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Question Stats:

62% (01:32) correct 37% (00:59) wrong based on 37 sessions

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Set S = {2, 4, 6, 11} Set T = {50, 100, 200}

Quantity A
Quantity B
The number of distinct
products that can be formed
when an element of Set S is
multiplied by an element of
Set T
The number of distinct
sums that can be formed
when an element of Set S is
added to an element of
Set T



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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B
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rx10
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Re: Set S = {2, 4, 6, 11} Set T = {50, 100, 200} [#permalink] New post   09 Jun 2021, 07:33
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Set S = {2, 4, 6, 11} Set T = {50, 100, 200}

Qt A

Distinct no by multiplying S & T = 100 , 200 , 400 , 800 , 300 , 600 , 1200 , 550 , 1100 , 2200
Total = 10

Qt B
Distinct no by sum of S & T = 52 , 102 , 202 , 54 , 104 , 204 , 56 , 106 , 206 , 61 , 111 , 211
Total = 12

Qt B > Qt A

Answer B
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tkorzhan
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Re: Set S = {2, 4, 6, 11} Set T = {50, 100, 200} [#permalink] New post   26 Oct 2024, 09:58
Carcass, what is the most efficient approach to solve this question?
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Re: Set S = {2, 4, 6, 11} Set T = {50, 100, 200} [#permalink] New post   26 Oct 2024, 10:26
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The approach above by rx10 is the fastest.

Here we do not have any shortcut. At least I do not see it.

If you take a look to the two quantities it is just a matter of multiplication and addition.

Sometimes we have a shortcut (usually) sometimes no, sometimes a question is just trial and error. It depends

Probably the way of NOT to solve a question on the GRE is never via brute force. You would spend tons of time
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Re: Set S = {2, 4, 6, 11} Set T = {50, 100, 200} [#permalink]
26 Oct 2024, 10:26
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