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Scores of boys in a certain class have a range of 20.4 and scores of g
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06 Jul 2025, 14:02
06 Jul 2025, 14:02
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Question Stats:
37% (00:59) correct
62% (00:32) wrong based on 8 sessions
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Scores of boys in a certain class have a range of 20.4 and scores of girls in the same class have a range of 32.6. Which of the following options is/are individually sufficient to determine the range of scores of all the students in that class?
Indicate all that apply
\(\boxed{A}\) Median score of boys is same as the median score of girls.
\(\boxed{B}\) Highest score among boys is 4 units greater than the lowest score among girls.
\(\boxed{C}\) Maximum score among the girls is at most 2.2 more than the maximum score among boys.
Indicate all that apply
\(\boxed{A}\) Median score of boys is same as the median score of girls.
\(\boxed{B}\) Highest score among boys is 4 units greater than the lowest score among girls.
\(\boxed{C}\) Maximum score among the girls is at most 2.2 more than the maximum score among boys.
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Re: Scores of boys in a certain class have a range of 20.4 and scores of g
[#permalink]
08 Jul 2025, 04:00
08 Jul 2025, 04:00
Expert Reply
- Option A is insufficient because medians do not provide information about the extremes of the data.
- Option B is sufficient because it precisely defines the relationship between the highest boy's score and the lowest girl's score, allowing us to calculate the overall range as 49.
- Option $\(\mathbf{C}\)$ is insufficient because the "at most" condition allows for variability in the relationship between $\(G_{\text {max }}\)$ and $\(B_{\text {max }}\)$ (e.g., $\(G_{\text {max }}\)$ could be less than $\(B_{\text {max }}\)$ ), leading to different possible overall ranges.
Therefore, the official answer being $B$ is correct.
- Option B is sufficient because it precisely defines the relationship between the highest boy's score and the lowest girl's score, allowing us to calculate the overall range as 49.
- Option $\(\mathbf{C}\)$ is insufficient because the "at most" condition allows for variability in the relationship between $\(G_{\text {max }}\)$ and $\(B_{\text {max }}\)$ (e.g., $\(G_{\text {max }}\)$ could be less than $\(B_{\text {max }}\)$ ), leading to different possible overall ranges.
Therefore, the official answer being $B$ is correct.
gmatclubot
Re: Scores of boys in a certain class have a range of 20.4 and scores of g [#permalink]
08 Jul 2025, 04:00
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