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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

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

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

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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Source: — Problem Solving |

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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