Carcass wrote:
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.
GIVEN: T is a list of 100
different numbers
GIVEN: x is greater than 60 percent of the numbers in T
So, if we were to list all 100 numbers in ASCENDING order, x would be the 61st value in the list (so that 60 of the 100 numbers are less than x)
GIVEN: y is greater than 40 percent of the numbers in T
So, if we were to list all 100 numbers in ASCENDING order, y would be the 41st value in the list (so that 40 of the 100 numbers are less than y)
We want to compare x - y with 20
Consider these two possible cases:
case i: The numbers, when listed in ASCENDING ORDER are:
0.1, 0.2, 0.3, 0.4, . . . . 4.0,
y = 4.1, 4.2, 4.3, . . . . 5.9, 6.0,
x = 6.1, 6.2, . . .
In this case, we get:
QUANTITY A:
x -
y =
6.1 -
4.1 = 2
QUANTITY B: 20
In this case,
Quantity B is greatercase ii: The numbers, when listed in ASCENDING ORDER are:
0.1, 0.2, 0.3, 0.4, . . . . 4.0,
y = 4.1, 4.2, 4.3, . . . . 5.9, 6.0,
x = 40, 40.1, 40.2, 40.3 . . .
In this case, we get:
QUANTITY A:
x -
y =
40 -
4.1 = 35.9
QUANTITY B: 20
In this case,
Quantity A is greaterAnswer: D
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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