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OG 12th edition - Data Sufficiency question #161

Expert replies
by bynddrvn » Sun Oct 10, 2010 12:11 pm
I don't understand how to simplify this question.

161. Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year?

1) Last year the closing balance of Carl's account for April was less than $2,625.

2) Last year the closing balance of Carl's account for June was less than $2,675.

The official answer is "C" but I don't quite understand why. I picked "B" because in the question stem we know that there is $2,600 in the account as of May, if Carl added $120 in June the total would have to be at least $2,720. From this we know that Carl was drawing down the account at this time. So he added $120 into the account until May, then started drawing down the account by $50 increments. I couldn't come up with a scenario where this wouldn't work.
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Source: — Data Sufficiency |

by Jim@Grockit » Sun Oct 10, 2010 8:02 pm
bynddrvn wrote:I don't understand how to simplify this question.

161. Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year?

1) Last year the closing balance of Carl's account for April was less than $2,625.

2) Last year the closing balance of Carl's account for June was less than $2,675.

The official answer is "C" but I don't quite understand why. I picked "B" because in the question stem we know that there is $2,600 in the account as of May, if Carl added $120 in June the total would have to be at least $2,720. From this we know that Carl was drawing down the account at this time. So he added $120 into the account until May, then started drawing down the account by $50 increments. I couldn't come up with a scenario where this wouldn't work.
Why do you think he was adding money until May based on statement 2 alone? We only know he added money for at least three months ("several consecutive"). He could have reached his highest balance in April, at $2650 in April, $2600 in May, $2550 in June . . . or his highest balance in May, at $2480 in April, $2600 in May, and $2550 in June. The range is different for those two, so statement 2 is insufficient. Using statement 1 together with statement 2 eliminates the first of the two scenarios I mentioned.
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by bynddrvn » Mon Oct 11, 2010 2:08 pm
That makes complete sense, can't believe I missed that.

At least I got the rest of the questions correct after this question; although, I found some of the last DS questions to be easy?

Anyway, thank you very much.
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