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Statements, Conclusions and Assumptions · Question 17 of 67

Question 17

HardOriginal question

Statement: No member of the Class 10 science club at Oakridge School failed the term test in Mathematics. Irfan failed the term test in Mathematics.

Conclusions:

I. Irfan is not a member of the Class 10 science club at Oakridge School.

II. Irfan is weak at science.

Which conclusions follow?

Options for question 17

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. I follows: if Irfan were a club member, he could not have failed the test. He did fail, so he is not a member.

  2. II does not follow: the statement is about a Mathematics test and club membership. It says nothing about Irfan's ability in science.

  3. So only I follows.

Worth noting

Reasoning backwards from a rule ("no member failed; he failed; so he is not a member") is valid. Guessing a reason for his failure is not.

Concept
Valid reasoning from a 'no' rule
Typical time
105 s
Your time
—
The rule this testsStatements and conclusions
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Ten questions from Statements, Conclusions and Assumptions, at your own pace.

Practise this chapter →

Ten questions from Statements, Conclusions and Assumptions, at your own pace.