GMAT: Data sufficiency 21 (correction) | Data sufficiency | GMAT | Khan Academy

TL;DR

300 students in Jefferson School study French or Spanish, with 100 not studying French. It is possible to determine the number of students who study both languages.

Transcript

Problem 94. In Jefferson School, 300 students study French or Spanish or both. OK. And they have to do one of those two. If 100 of these students do not study French-- so this sounds like a Venn Diagram. Let's see. So let's say that's French. And I'll do Spanish in a different color. Let's say that is Spanish. And we have 300 students, and they stu... Read More

Key Insights

• 🧑‍🎓 There are a total of 300 students studying French or Spanish in Jefferson School.
• 🧑‍🎓 100 students do not study French.
• 🧑‍🎓 60 students study French but not Spanish.
• 🧑‍🎓 240 students study Spanish.
• 🧑‍🎓 140 students study both French and Spanish.
• 🧑‍🎓 Subtracting 160 from 300 gives the number of students studying just French and Spanish, which is 140.
• 💁 Both statements individually provide enough information to answer the question.

Questions & Answers

Q: How many students in Jefferson School study only Spanish?

To determine the number of students studying only Spanish, subtract the number of students studying both languages (140) from the total number of Spanish students (240), resulting in 100 students.

Q: What does the blue area in the Venn diagram represent?

The blue area represents the number of students studying both French and Spanish, which is 140 according to the given information.

Q: How many students study French and do not study Spanish?

According to the first statement, 60 students study French but not Spanish.

Q: Are both statements necessary to find the number of students studying both languages?

No, either statement alone is sufficient to find the number of students studying both languages.

Summary & Key Takeaways

• There are 300 students studying French or Spanish in Jefferson School, with 100 not studying French.

• The number of students studying both French and Spanish can be determined using the given information.

• Statement 1 reveals that 60 students study French but not Spanish.