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by BTGmoderatorDC » Sun Jul 01, 2018 6:43 pm

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Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Mon Jul 02, 2018 10:24 pm
BTGmoderatorDC wrote:Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.
We have to determine whether the amount of John's heating bill for February is greater than that for January.

Let's take each statement one by one.

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.

Say John's heating bill for February = 26x, thus, his heating bill for January = 25x, whether x is a positive integer

Since 26x > 25x, the answer is yes. Sufficient.

(2) The sum of the amounts of John's heating bills for January and February was $183.60.

Can't determine whether the amount of John's heating bill for February is greater than that for January. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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BTGmoderatorDC wrote:
Sun Jul 01, 2018 6:43 pm
Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.
Solution:

Question Stem Analysis:

We need to determine whether the amount of John's heating bill in February was greater than it was in January.

Statement One Alone:

Since the ratio of the amount of John’s heating bill in February to that in January was greater than 1, the amount of John’s heating bill in February was indeed greater than it was in January. Statement one alone is sufficient.

Statement Two Alone:

Knowing the total amount paid for the two months does not allow us to determine whether the amount for February was greater than that for January. Statement two alone is not sufficient.

Answer: A

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