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07 Jul 2021, 04:30
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E
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Difficulty:
65%
(hard)
Question Stats:
56% (02:04) correct
44%
(02:00)
wrong
based on 127
sessions
History
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What was the ratio of the number of parcels to envelopes picked up by a certain mail truck on Tuesday?
(1) On Tuesday, the mail truck picked up 15 fewer than three times as many envelopes as parcels.
(2) On Tuesday, the mail truck picked up 5 more than one third as many parcels as envelopes.
(1) On Tuesday, the mail truck picked up 15 fewer than three times as many envelopes as parcels.
(2) On Tuesday, the mail truck picked up 5 more than one third as many parcels as envelopes.
07 Jul 2021, 06:28
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Bunuel
Mathematical statements can't be written this way. Statement 1 is saying the number "the mail truck picked up" is 15 less than a certain ratio relationship. That is not a meaningful thing to say -- the sentence needs to say one number is 15 less than another number.
I can guess what the question means -- Statement 1 means to say "the number of envelopes the mail truck picked up was 15 less than 3 times the number of parcels it picked up". We then get the equation
E = 3P - 15
and from Statement 2 we get the equation P = (1/3)E + 5, which, multiplying by 3 on both sides, becomes 3P = E + 15, or E = 3P - 15, which is identical to the equation from Statement 1. So the two statements say the same thing, and the answer can only be D or E, but since we can't find a value of the ratio P/E from either statement (any two different numerical examples will give a different ratio), the answer is E.
03 Nov 2021, 06:45
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This question is a part of Are You Up For the Challenge: 700 Level Questions collection.
