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The temperature of a place at noon on a certain day is 25% higher than the temperature...

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The temperature of a place at noon on a certain day is 25% higher than the temperature...

by BTGmoderatorLU » Thu Mar 05, 2020 4:16 pm

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The temperature of a place at noon on a certain day is 25% higher than the temperature of the same place at midnight on the same day. What is the temperature of the place at midnight?

1) The temperature of the place at midnight is 20% lower than the temperature of the same place at noon.
2) The temperature of the place at noon is 10 units greater than the temperature of the place at midnight.

The OA is B
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Source: — Data Sufficiency |

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Re: The temperature of a place at noon on a certain day is 25% higher than the temperature...

by Jay@ManhattanReview » Fri Mar 06, 2020 4:11 am

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BTGmoderatorLU wrote: ↑
Thu Mar 05, 2020 4:16 pm
 Source: e-GMAT

The temperature of a place at noon on a certain day is 25% higher than the temperature of the same place at midnight on the same day. What is the temperature of the place at midnight?

1) The temperature of the place at midnight is 20% lower than the temperature of the same place at noon.
2) The temperature of the place at noon is 10 units greater than the temperature of the place at midnight.

The OA is B
Let's take each statement one by one.

1) The temperature of the place at midnight is 20% lower than the temperature of the same place at noon.

It is the same information given in the question.

If x is 25% greater than y, then we can deduce that y is 20% lesser than x. Insufficient.

2) The temperature of the place at noon is 10 units greater than the temperature of the place at midnight.

Say temperature at noon is x and temperature at midnight is y, then we have x – y = 10. However, with this information, we cannot get the value of y. Insufficient.

(1) and (2) together

From the question, we have x = 1.25y and from (2), we have x – y = 10. From the two equations, we get y = 40 units. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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