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David has 3 credit cards: a Passport card, an EverywhereCard, and an American local card. He owes a balance on all three

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David has 3 credit cards: a Passport card, an EverywhereCard, and an American local card. He owes a balance on all three

by M7MBA » Sat Jul 25, 2020 3:03 pm

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David has 3 credit cards: a Passport card, an EverywhereCard, and an American local card. He owes a balance on all three cards. Does he owe the greatest balance on the Everywhere card?

1) The sum of the balances on his EverywhereCard and American Local card is $1350, which is three times the balance on his passport card.

2) The balance on his EverywhereCard is 4/3 of the balance on his Passport card and 4/5 of the balance on his American Local card.

[spoiler]OA=B[/spoiler]

Source: Princeton Review
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Source: — Data Sufficiency |
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Re: David has 3 credit cards: a Passport card, an EverywhereCard, and an American local card. He owes a balance on all t

by deloitte247 » Sun Jul 26, 2020 11:01 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

let passport card = p ; everywhere card = e , and American card = a

Target question= Does he get owe the greatest balance on everywhere card.
$$i.e\ e>a\ and\ e>p\ ?$$

Statement 1
The sum of the balances on his everywhere cared and American card is $1350 and 3times the balances on his passport card.

eta=$350 and $1350=3p $$p=\frac{1350}{3}=450$$
if e=1000 and a=350 then e is the greatest of all definite value of e and a is unknown some target question cannot be evaluated statement 1 is NOT SUFFICIENT.


Statement 2
The balance on his everywhere card is 4/3 of the balance on his passport and 4/5 of the balance on his American Local card.

i.e e is 4 out of 3p's = e>p
e is 4 out of 5a's = e<a

$$p<e<a,\ David\ owe\ the\ greatest\ \ balance\ on\ the\ America\ local\ \ \ card\ \ and\ not\ on\ the\ \ everywhere\ card\ and\ Statement\ 2\ \ alone\ is\ SUFFICIENT$$
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Re: David has 3 credit cards: a Passport card, an EverywhereCard, and an American local card. He owes a balance on all t

by deloitte247 » Sun Jul 26, 2020 11:03 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

let passport card = p ; everywhere card = e , and American card = a

Target question= Does he get owe the greatest balance on everywhere card.
$$i.e\ e>a\ and\ e>p\ ?$$

Statement 1
The sum of the balances on his everywhere cared and American card is $1350 and 3times the balances on his passport card.

eta=$350 and $1350=3p $$p=\frac{1350}{3}=450$$
if e=1000 and a=350 then e is the greatest of all definite value of e and a is unknown some target question cannot be evaluated statement 1 is NOT SUFFICIENT.


Statement 2
The balance on his everywhere card is 4/3 of the balance on his passport and 4/5 of the balance on his American Local card.

i.e e is 4 out of 3p's = e>p
e is 4 out of 5a's = e<a

$$p<e<a,\ David\ owe\ the\ greatest\ \ balance\ on\ the\ America\ local\ \ \ card\ \ and\ not\ on\ the\ \ everywhere\ card\ and\ Statement\ 2\ \ alone\ is\ SUFFICIENT$$

$$Answer\ is\ Option\ B$$
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