In a survey of 100 students, 60 like Mathematics, 50 like Science, and 30 like b

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Question: In a survey of 100 students, 60 like Mathematics, 50 like Science, and 30 like both subjects. How many students like only Mathematics?

Options:

Correct Answer: 30

Solution:

Students who like only Mathematics = Total Mathematics - Both = 60 - 30 = 30.

In a survey of 100 students, 60 like Mathematics, 50 like Science, and 30 like both subjects. How many students like only Mathematics?

In a survey of 100 students, 60 like Mathematics, 50 like Science, and 30 like both subjects. How many students like only Mathematics?

Step 1: Identify the total number of students who like Mathematics. This is given as 60.
Step 2: Identify the number of students who like both Mathematics and Science. This is given as 30.
Step 3: To find the number of students who like only Mathematics, subtract the number of students who like both subjects from the total number of students who like Mathematics.
Step 4: Perform the subtraction: 60 (students who like Mathematics) - 30 (students who like both) = 30.
Step 5: The result is that 30 students like only Mathematics.

Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
Basic Arithmetic – Performing simple subtraction to find the number of students in a specific category.