5. Aptitude: In a class of 50 students, the number of students who passed in Mathematics is 30, in Science is 32, and 20 students passed in both subjects. Part 1: How many students passed only in Mathematics? Choices: A) 10 B) 12 C) 15 D) 18 E) 20 Part 2: How many students passed only in Science? Choices: A) 10 B) 12 C) 15 D) 18 E) 20 OA D OC A OB CSee answer

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5 Aptitude In a class of 50 students the number of students who passed in Mathematics is 30 in Science is 32 and 20 students passed in both subjects Part 1 How many students passed only in Mathematics…

Question

5. Aptitude: In a class of 50 students, the number of students who passed in Mathematics is 30, in Science is 32, and 20 students passed in both subjects. Part 1: How many students passed only in Mathematics? Choices: A) 10 B) 12 C) 15 D) 18 E) 20 Part 2: How many students passed only in Science? Choices: A) 10 B) 12 C) 15 D) 18 E) 20 OA & D OC&A OB&C

Basic Answer

Correct Answer:

Part 1: C) 15
Part 2: A) 10

Analyzing the Answer：

Part 1: To find the number of students who passed only in Mathematics, we use the principle of inclusion-exclusion. The total number of students who passed in Mathematics is 30, and 20 of these students also passed in Science. Therefore, the number of students who passed only in Mathematics is $30-20=15$.

Part 2: Similarly, to find the number of students who passed only in Science, we use the same principle. The total number of students who passed in Science is 32, and 20 of these students also passed in Mathematics. Therefore, the number of students who passed only in Science is $32-20=12$.

Analysis of other options：

Part 1:
A) 10: Incorrect, as it does not account for the 20 students who passed both subjects.
B) 12: Incorrect, as it does not account for the 20 students who passed both subjects.
D) 18: Incorrect, as it does not account for the 20 students who passed both subjects.
E) 20: Incorrect, as it does not account for the 20 students who passed both subjects.

Part 2:
B) 12: Incorrect, as it does not account for the 20 students who passed both subjects.
C) 15: Incorrect, as it does not account for the 20 students who passed both subjects.
D) 18: Incorrect, as it does not account for the 20 students who passed both subjects.
E) 20: Incorrect, as it does not account for the 20 students who passed both subjects.