1. Question 10 is difficult than question 11
2. Question 11 is difficult than question 12.
3. Question 12 is the easiest of the three questions
if the first two statements are true, the third statement is
Answers
Answer:
The third statement will false........
If the first two given statements are true, then the third statement is true also.
Given,
Statements:
1. Question 10 is more difficult than question 11,
2. Question 11 is more difficult than question 12,
3. Question 12 is the easiest of the three questions.
The first 2 statements are true.
To find,
If the third statement is true.
Solution,
In the given problem, it can be seen that three statements are given.
Also, it is given that statements 1 and 2 are both true.
Here, the statements are:
1: Question 10 is more difficult than question 11,
2: Question 11 is more difficult than question 12, and,
3: Question 12 is the easiest of the three questions.
We have to determine if statement 3 is true, if 1 and 2 are true.
Now, let the expression "A > B" represents that "A is more difficult than B".
Then, we can express the statements 1 and 2 as,
1: 10 > 11,
2: 11 > 12.
Combining these, we can write,
10 > 11 > 12.
As we can see from above, that 12 is the easiest one.
⇒ statement 3 is true.
Therefore, if the first two given statements are true, then the third statement is true also.
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