In a survey of 200 students, 120 like Mathematics, 80 like Science, and 50 like

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Question: In a survey of 200 students, 120 like Mathematics, 80 like Science, and 50 like both. How many students like only Science?

Options:

Correct Answer: 30

Solution:

Students who like only Science = Total Science lovers - Both Mathematics and Science lovers = 80 - 50 = 30.

In a survey of 200 students, 120 like Mathematics, 80 like Science, and 50 like both. How many students like only Science?

In a survey of 200 students, 120 like Mathematics, 80 like Science, and 50 like both. How many students like only Science?

Step 1: Identify the total number of students who like Science. This is given as 80.
Step 2: Identify the number of students who like both Mathematics and Science. This is given as 50.
Step 3: To find the number of students who like only Science, subtract the number of students who like both subjects from the total number of Science lovers. This means you calculate 80 (total Science lovers) - 50 (both Mathematics and Science lovers).
Step 4: Perform the subtraction: 80 - 50 = 30.
Step 5: The result, 30, is the number of students who like only Science.

Set Theory – Understanding the relationships between different groups (sets) and how to calculate the number of elements in each subset.
Venn Diagrams – Using Venn diagrams to visualize the overlap between different categories (in this case, students who like Mathematics and Science).