To determine the truth value of the third statement based on the given information, let's analyze each statement:

1) Blueberries cost more than strawberries. 2) Blueberries cost less than raspberries. 3) Raspberries cost more than both strawberries and blueberries.

From statement 1, we know that blueberries are more expensive than strawberries. From statement 2, we know that blueberries are less expensive than raspberries.

Combining these two statements, we can conclude that strawberries are less expensive than blueberries, and blueberries are less expensive than raspberries. Therefore, it is logical to infer that raspberries are more expensive than both strawberries and blueberries.

Hence, the third statement is true.

Therefore, the correct answer is A) True.

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• Wrong explanation

To answer this question, let's consider the given information: Joe was both the 5th highest and 5th lowest in a race.

This means that Joe finished in the 5th position from the top and the 5th position from the bottom.

Let's analyze the options to determine the number of participants:

Option A) 10 - If there were 10 participants, then Joe being the 5th highest and 5th lowest would be possible. This option is a possible answer.

Option B) 9 - If there were 9 participants, then Joe being the 5th highest and 5th lowest would be possible. This option is a possible answer.

Option C) 11 - If there were 11 participants, then Joe being the 5th highest and 5th lowest would not be possible. This option is incorrect.

Option D) Don't Know - This option does not provide a specific answer and cannot be considered correct.

Therefore, the correct answer is B) 9. There were 9 participants in the race.

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To determine the pattern in the given series, let's examine the differences between consecutive terms:

3, 9, 6, 12, 9, 15, 12, 18

The differences between consecutive terms are:

6 - 3 = 3 12 - 6 = 6 9 - 12 = -3 15 - 9 = 6 12 - 15 = -3 18 - 12 = 6

Looking at the differences, we observe that they alternate between 3 and 6.

Now, let's look at the given options:

A. 17 B. 15 C. 14 D. 18

Based on the pattern we observed, the next difference should be 3. Therefore, the next number in the series should be the previous term (18) plus the next difference (3), which gives us 21. However, 21 is not one of the available options.

Since 21 is not available, we need to consider the second possibility, which is that the series alternates between 3 and 6. In this case, the next number in the series should be 18 + 3 = 21. Again, 21 is not one of the available options.

Therefore, neither of the patterns we observed in the differences seem to continue in the series. This suggests that the series may not follow a simple mathematical pattern and may instead be a pattern based on a different rule or logic.

As a result, we cannot determine the next number in the series with certainty. However, based on the given options, the closest option to the potential pattern is B. 15.

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• Wrong explanation