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T is a list of 100 different numbers that are greater than 0

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T is a list of 100 different numbers that are greater than 0 [#permalink] New post 26 Nov 2017, 10:41
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62% (00:51) correct 37% (01:10) wrong based on 35 sessions
T is a list of 100 different numbers that are greater than 0 and less than 50. The number x is greater than 60 percent of the numbers in T, and the number y is greater than 40 percent of the numbers in T.

Quantity A
Quantity B
x - y
20


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: T is a list of 100 different numbers that are greater than 0 [#permalink] New post 26 Nov 2017, 12:06
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Explanation

Say that x = 2. That means that over 60 percent of the numbers are less than 2. If you consider there are an infinite number of numbers between 0 and 2 when you use decimals. So the 60 percent would look like (0.1, 0.12, 0.1579, 0.2, 0.29,etc).

Say that y = 1. That would mean 40% of the numbers are between 0 and 1, and another 20% are between 1 and 2 to satisfy both y = 1 and x = 2. So x – y = 2 – 1 = 1. In this case, Quantity B is greater.

But what if x were at the other extreme of the range, such as x = 48? If we keep y = 1, that would mean that 40% of the numbers were between 0 and 1 and the next 20% were between 1 and 48 (and the remaining 40% were between 48 and 50). Now x – y = 48 – 1 = 47. In this case, Quantity A is greater. Thus, the relationship cannot be determined.
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Re: T is a list of 100 different numbers that are greater than 0 [#permalink] New post 31 Jul 2018, 09:20
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One can even consider x and y to be only INTEGER value and still solve it.Given list of 100 numbers, x is greater than 60% of the numbers
60% of 100 = 60 numbers. So x is greater than 60 numbers. Means x ranges from 61 - 100
y is greater than 40% of the numbers
40% 0f 100 = 40 numbers. So y is greater than 40 numbers. Means y ranges from 41 - 100
Since there is an overlap among these two values, we cannot predict whether x-y is going to be greater than or less than 20.
If x=67 and y=97, then B>A OR
If x=97 and y=67, then A>B
SO answer is D
Re: T is a list of 100 different numbers that are greater than 0   [#permalink] 31 Jul 2018, 09:20
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T is a list of 100 different numbers that are greater than 0

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