### Brain Teasers

# Three Statements IX

Which of these three statements are true?

1. There are six equally spaced beads on a circle. You need 30 straight lines to connect each bead with every other bead.

2. The next number in this series is odd: 15...12...13...10...11...8...

3. Sue walks one block west from her house. Then she walks two blocks south and one block east. She is now 2 blocks from her house.

1. There are six equally spaced beads on a circle. You need 30 straight lines to connect each bead with every other bead.

2. The next number in this series is odd: 15...12...13...10...11...8...

3. Sue walks one block west from her house. Then she walks two blocks south and one block east. She is now 2 blocks from her house.

### Answer

Statements 2 and 3 are true, statement 1 is false.In statement 1, each line connects two beads and cannot be counted twice, so you need only 15 straight lines.

In statement 2, the pattern is alternately -3 and +1. The next number is 9, which is odd.

In statement 3, the "one block west" and "one block east" cancel out each other, and she ends up 2 blocks south from her house.

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