### Brain Teasers

# Three Statements VIII

Which of these three statements are true?

1. If you turn a right-handed glove inside out, it will fit on a left hand.

2. An arrow pointing to the left will point to the right when rotated 180 degrees about a vertical axis through its center.

3. There are 5 employees - A, B, C, D and E - in the office. Rumors spread through the office according to the following rules: Rumors can be passed in any direction between D and E. Rumors can be passed from A to B, from B to C, and from C to E. A rumor began by B that reaches D would be known by everybody.

1. If you turn a right-handed glove inside out, it will fit on a left hand.

2. An arrow pointing to the left will point to the right when rotated 180 degrees about a vertical axis through its center.

3. There are 5 employees - A, B, C, D and E - in the office. Rumors spread through the office according to the following rules: Rumors can be passed in any direction between D and E. Rumors can be passed from A to B, from B to C, and from C to E. A rumor began by B that reaches D would be known by everybody.

### Answer

Statements 1 and 2 are true, statement 3 is false.In statement 1, a right-handed glove and a left-handed one are mutual mirror images, and if one of them is turned inside out, it will look like the other.

In statement 2, a right-pointing arrow and a left-pointing one are mutual mirror images, and if one of them is rotated 180 degrees, it will look like the other.

In statement 3, a rumor from B can reach C, then reach E, then reach D, but not reach A.

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