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Scores of boys in a certain class have range of 20.4 and sco

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Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 30 Sep 2019, 21:43
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55% (01:22) correct 44% (01:24) wrong based on 29 sessions
Scores of boys in a certain class have range of 20.4 and scores of girls in the same class have range of 32.6.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the scores of all the
students in the class?

Indicate all such statements.

A. Median score of boys is same as the median score of girls
B. Highest score among boys is 4 units greater than the lowest score among girls
C. Maximum score among the girls is at most 2.2 more than the maximum score among boys
[Reveal] Spoiler: OA

Last edited by fdundo on 01 Oct 2019, 04:45, edited 1 time in total.
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Re: Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 30 Sep 2019, 23:56
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This question is similar to OG.

Here is the link https://greprepclub.com/forum/the-range-of-the-heights-of-the-female-students-in-a-certain-class-is-13-2-inches-1761.html

More examples :: https://greprepclub.com/forum/qotd-10-the-table-above-shows-the-frequency-distribution-of-2499.html
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Re: Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 29 Jun 2020, 00:43
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We know that range of boys=20.4 and range of girls=32.6. From this we can assume variables and say that a–b=20.4 and c–d=32.6. The total range, which we need to find, is nothing but c–b.

A- Median is the middle value. Range is max–min. This doesn't help.
B- This esentially states that a=d+4. Now we can say that c=32.6+d and b=aa–20.4. This means that 32.6+d–(a–20.4) => 32.6+d–(d+4–20.4)= 49. Correct.
C- This states that c=2.2a and since b=a–20.4 we can say 2.2a–(a–20.4)=1.2a+20.4. Since we don't know the value of a, this is incorrect.
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Re: Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 30 Jun 2020, 04:24
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Can someone please explain why option C is not one of the correct options?
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Re: Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 30 Jun 2020, 10:38
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Aaka wrote:
Can someone please explain why option C is not one of the correct options?


C. Maximum score among the girls is at most 2.2 more than the maximum score among boys

The key words here are "at most"

This means, it COULD be the case that the maximum score among the girls is exactly 2.2 more than the maximum score among boys
Or it COULD be the case that the maximum score among the girls is 1.5 more than the maximum score among boys
Or it COULD be the case that the maximum score among the girls is equal to the maximum score among boys
Or it COULD be the case that the maximum score among the girls is LESS THAN the maximum score among boys

Given all of this, here are two possible outcomes:
CASE I:
There are two girls in the class, and their scores are: 1 and 33.6 (for a range of 32.6)
There are two boys in the class, and their scores are: 11 and 31.4 (for a range of 20.4)
When we combine all of the scores we get {1, 11, 31.4, 33.6}, which means the range = 32.6

CASE II:
There are two girls in the class, and their scores are: 1 and 33.6 (for a range of 32.6)
There are two boys in the class, and their scores are: 50 and 70.4 (for a range of 20.4)
When we combine all of the scores we get {1, 33.6, 50, 70.4}, which means the range = 69.4

Does that help?
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Re: Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 30 Jun 2020, 10:40
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Thank you Sir
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Re: Scores of boys in a certain class have range of 20.4 and sco [#permalink] New post 01 Jul 2020, 03:59
GreenlightTestPrep wrote:
Aaka wrote:
Can someone please explain why option C is not one of the correct options?


C. Maximum score among the girls is at most 2.2 more than the maximum score among boys

The key words here are "at most"

This means, it COULD be the case that the maximum score among the girls is exactly 2.2 more than the maximum score among boys
Or it COULD be the case that the maximum score among the girls is 1.5 more than the maximum score among boys
Or it COULD be the case that the maximum score among the girls is equal to the maximum score among boys
Or it COULD be the case that the maximum score among the girls is LESS THAN the maximum score among boys

Given all of this, here are two possible outcomes:
CASE I:
There are two girls in the class, and their scores are: 1 and 33.6 (for a range of 32.6)
There are two boys in the class, and their scores are: 11 and 31.4 (for a range of 20.4)
When we combine all of the scores we get {1, 11, 31.4, 33.6}, which means the range = 32.6

CASE II:
There are two girls in the class, and their scores are: 1 and 33.6 (for a range of 32.6)
There are two boys in the class, and their scores are: 50 and 70.4 (for a range of 20.4)
When we combine all of the scores we get {1, 33.6, 50, 70.4}, which means the range = 69.4

Does that help?



Thank you!!
Re: Scores of boys in a certain class have range of 20.4 and sco   [#permalink] 01 Jul 2020, 03:59
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