Question

Given below a statement followed by 2 inferences. Choose the inference that can be inferred from the given statement by selecting the right option.
Statement: Out of 20 students in a class, 15 passed in English and 18 passed in mathematics.
Inferences:
I. There are few students who passed in both the subjects
II. No student failed in both the subjects

• A. Both inferences I and II follow
• B. Only inference I follows
• C. Only inference II follows
• D. Neither inference I nor inference II follows

Answer 1

The Correct Option is B

Step 1: Understanding the Given Data 

• Total students = 20
• Students who passed in English = 15
• Students who passed in Mathematics = 18

Step 2: Evaluating Inference I

The total number of students is 20. Since 15 passed in English and 18 passed in Mathematics, the number of students who passed in at least one subject is:

• 15 + 18 = 33

But there are only 20 students, so some students must have passed in both subjects. Thus, inference I is correct.

Step 3: Evaluating Inference II

To determine whether no student failed in both subjects, we check:

• Total students − (Students who passed in at least one subject) = 20 − 20 = 0

Since there is a possibility that all students passed at least one subject, inference II might seem correct, but it is not explicitly stated in the given statement. Thus, inference II does not necessarily follow.

Step 4: Final Answer

Since only inference I follows, the correct answer is:

Final Answer: The correct answer is (b) Only inference I follows