Question

1. Train P is faster than train Q.
2. Train R is faster than train Q.
3. Train P is the fastest of the three.
If the first two statements are true, the third statement is:​

Answer 1

Answer:

Then the third statement would be P=R

Explanation:

Answer 2

If the first two given statements are true, the third statement is false.

Given,

Statements:

1. Train P is faster than train Q.

2. Train R is faster than train Q.

3. Train P is the fastest of the three.

1st two statements are true.

To find,

The third statement is ___?

Solution,

Here, we can see that three statements are given.

Also, it is mentioned that statements 1 and 2 are true.

It is required to find if statement 3 is true or not.

Now, let A > B means that A is faster than B.

Thus, the given statements can be expressed as follows.

1. Train P > Train Q, and

2. Train R > Train Q.

So, both the trains P and R, are faster than Q. But it is not given if P is faster than R.

We can see from above, that it is not given whether

Train P > Train R, or

Train R > Train P.

Train P could be the fastest among the three, only if P is also faster than R. But any such condition is not given.

⇒ statement 3 is false.

Therefore, if the first two given statements are true, the third statement is false.

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