Question

A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco. Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?

• A. A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so.
• B. A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so.
• C. Approximately 30% of tobacco users successfully stopped consuming tobacco.
• D. Approximately 65% of tobacco users successfully stopped consuming tobacco.

Hint:

When a question asks for a conclusion “with certainty,” avoid assumptions about success or behavior not given in the passage. Stick only to facts that directly follow.

Answer 1

The Correct Option is B

Step 1: Analyze the given data.
- 65% of tobacco users were advised to stop. - 3 out of 10 users overall (i.e., 30%) attempted to stop.
Step 2: Interpret what is certain.
We know how many were advised (65%), but only 30% of the entire population made an attempt. Since 30% is less than 65%, clearly not all of the advised group attempted.
Step 3: Majority test.
If 65% were advised, but only 30% total attempted, then the number of attempts among the advised must be fewer than 50% of that subgroup. Hence, the majority of the advised group did not attempt.
Step 4: Rule out other options.
- (A) cannot be true because majority did not attempt. - (C) and (D) talk about successful quitting, which is not mentioned. - Therefore, (B) is the only inference with certainty. Final Answer: \[ \boxed{\text{A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so.}} \]