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The monthly fee for a certain cellular telephone plan is $0.25 per minute for the first...

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by BTGmoderatorLU » Sat Jun 27, 2020 3:30 pm

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Answers

A

B

C

D

E

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Difficulty—

Source: Princeton Review

The monthly fee for a certain cellular telephone plan is $0.25 per minute for the first 200 minutes of calling time, plus $0.50 for each minute above 200 minutes. Was the fee for June less than $60?

1) Calling time for June was 180 minutes
2) For 460 minutes of calling time, the fee would be four times as great as that for June

The OA is D
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Re: The monthly fee for a certain cellular telephone plan is $0.25 per minute for the first...

by k_rohit » Sun Jun 28, 2020 5:44 am
Answer-D ; here is detailed explanation :

Statement-01 :for calling time 180 minutes, fee 180 minutes X 0.25 $/Minute = 45 $ ; less than 60, Hence statement is sufficient

Statement-02 : for calling time 460 minutes, fee : 200 minutes X 0.25 $/Minute + (460-200) minutes X 0.5 $/Minute = 200 X 0.25 + 260 X 0.5 = 50+130 = 180$
Now fee for June is 1/4th, hence 180 X 1/4 = 45$ ; less than 60, Hence statement is sufficient
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Re: The monthly fee for a certain cellular telephone plan is $0.25 per minute for the first...

by Jay@ManhattanReview » Mon Jun 29, 2020 9:13 pm
BTGmoderatorLU wrote: ↑
Sat Jun 27, 2020 3:30 pm
 Source: Princeton Review

The monthly fee for a certain cellular telephone plan is $0.25 per minute for the first 200 minutes of calling time, plus $0.50 for each minute above 200 minutes. Was the fee for June less than $60?

1) Calling time for June was 180 minutes
2) For 460 minutes of calling time, the fee would be four times as great as that for June

The OA is D
Given the information, we know that for the first 200 min., the monthly fee = 0.25*200 = $50.

Since we have to ascertain whether the fee for June was less than $60, we must calculate for how many minutes above 200, one can call. Given that the fee is $0.50 for each minute above 200 minutes, to keep the fee within $60, one can call 200 + (60 – 50)/0.50 = 220 minutes.

Question rephrased: Was the call time in June less than 220 minutes?

Let's take each statement one by one.

1) Calling time for June was 180 minutes

Sufficient.

2) For 460 minutes of calling time, the fee would be four times as great as that for June

Let's calculate the fee for 460 minutes. It is 200*0.25 + (460 – 200)*0.50 = 50 + 130 = $180

=> Fee in June = 180/4 = $45 < $60.

Sufficient.

Correct answer: C

Hope this helps!

-Jay
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