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Of the 120 children in a certain school, 75 are currently studying 20 Feb 2023, 07:35
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47% (02:01) correct 53% (01:49) wrong based on 110 sessions

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Of the 120 children in a certain school, 75 are currently studying Spanish, How many of the students in the school are currently studying Frence?

(1) The number of students in the school who are studying both French and Spanish is equal to the number of students in the school that are studying neither French nor Spanish.
(2) 65 of the students in the school are studying Spanish but are not studying French
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Of the 120 children in a certain school, 75 are currently studying 21 Feb 2023, 07:11
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(1) Let's assume the total number of children studying both French and Spanish is x.
Therefore, the number of children studying neither of them is also x.

Using the information provided in the question,

Total = Number of children studying Spanish + Number of children studying French - Number of children studying both + Number of children studying neither
120 = 75 + n(F) - x + x

This statement seems sufficient.

(2) 65 of the students in the school are studying Spanish but are not studying French

We do not know how many students are studying neither of the languages. This statement is not sufficient.

The correct option is A.
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Of the 120 children in a certain school, 75 are currently studying 02 Mar 2023, 12:39
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Could someone explain how statement A is sufficient?
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Of the 120 children in a certain school, 75 are currently studying 02 Mar 2023, 13:13
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Could someone explain how statement A is sufficient?

Of the 120 children in a certain school, 75 are currently studying Spanish, How many of the students in the school are currently studying Frence?

Total = Spanish + French - Both + Neither
120 = 75 + French - Both + Neither

(1) The number of students in the school who are studying both French and Spanish is equal to the number of students in the school that are studying neither French nor Spanish:

This implies that Both = Neither.

120 = 75 + French - Both + Both;
120 = 75 + French;
French = 45.

Sufficint.

(2) 65 of the students in the school are studying Spanish but are not studying French:

Spanish - Both = 65;
75 - Both = 65;
Both = 10.

Thus, we have:

120 = 75 + French - 10 + Neither.

Not sufficient to find French.

Answer: A.
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Of the 120 children in a certain school, 75 are currently studying 22 May 2025, 08:33
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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