Problem Solving

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

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