MINDBENDERS

Can you bend your brain around these tricky mathematical teasers?

1 In an effort to keep their New Year’s resolutions, three family members are nearly home, having been out for a run. Adam is leading, ninety yards in front of Paul, who is last. Between them is David, who is fifty-one yards from their home. Given that David is four times as far from Paul as he is from Adam, how far has Paul got left to run?

2 Two sevenths of the people who wished Elizabeth “Happy New Year” on a social networking site were former work colleagues, half were family, one fourteenth were strangers and the remaining six were old school friends. How many people sent Elizabeth a greeting?

3 A tin of leftover Christmas chocolates is shared between Lee, Dee and Katie, so that

Lee takes one third, Dee takes four sevenths and Katie takes fifteen less than Lee. How many chocolates were in the tin?