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Out of 240 candidates for an MBA program, 144 knew English and 150 knew Spanish. Some candidates were bilingual and ever

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Out of 240 candidates for an MBA program, 144 knew English and 150 knew Spanish. Some candidates were bilingual and ever

by BTGmoderatorDC » Fri May 26, 2023 6:25 am

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Out of 240 candidates for an MBA program, 144 knew English and 150 knew Spanish. Some candidates were bilingual and every candidate knew at least English or Spanish. How many candidates were bilingual?

(A) 54
(B) 18
(C) 27
(D) 90
(E) 94


OA A

Source: EMPOWERgmat
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Re: Out of 240 candidates for an MBA program, 144 knew English and 150 knew Spanish. Some candidates were bilingual and

by swerve » Tue May 30, 2023 11:52 am
BTGmoderatorDC wrote: ↑
Fri May 26, 2023 6:25 am
 Out of 240 candidates for an MBA program, 144 knew English and 150 knew Spanish. Some candidates were bilingual and every candidate knew at least English or Spanish. How many candidates were bilingual?

(A) 54
(B) 18
(C) 27
(D) 90
(E) 94


OA A

Source: EMPOWERgmat
According to the given information, we can make the following table:

\begin{array}{|c|c|c|c|}
\hline
& \text{English} & \sim \text{English} & \text{Total} \\ \hline
\text{Spanish} & 144-90=54 & 96 & 150 \\ \hline
\sim\text{Spanish} & 90 & 0 & 240-150=90 \\ \hline
\text{Total} & 144 & 240-144=90 & 240 \\ \hline
\end{array}

Therefore, A
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