BTGmoderatorDC wrote: ↑

Tue Apr 11, 2023 8:23 pm

The GMAT is scored on a scale of 200 to 800 in 10 point increments. (Thus 410 and 760 are real GMAT scores but 412 and 765 are not). A first-year class at a certain business school consists of 478 students. Did any students of the same gender in the first-year class who were born in the same-named month have the same GMAT score?

(1) The range of GMAT scores in the first-year class is 600 to 780.
(2) 60% of the students in the first-year class are male.


OA A

Source: GMAT Prep

Total number of students in class \(= 478\)
Possible genders \(= 2\)
Total possible scores \(= 61\)

Number of months \(= 12\)

1. Score range \(= 600 - 780\)

Therefore, we have \(19\) possible scores
Number of combinations \(=19 \cdot 2 \cdot 12 = 456\)
Since \(456 < 478\). We will have at least one repeat of the same gender and birth month. Sufficient. \(\Large{\color{green}\checkmark}\)

2. Number of male \(= 60 \%\) of \(478= 286.8\). Not sufficient. \(\Large{\color{red}\chi}\)

Therefore, A