Somebody had taken the last toffee from the tin, much to the annoyance of the other three. Who could have taken it, given that only one of the following statements is true?

Angela - 'Bhavin took the last toffee'
Bhavin - 'Dave took the last toffee'
Cynthia - 'Who, me? Can't be!'
Dave - 'Bhavin is lying when he says I took the toffee'
solution

APPLE + LEMON = BANANA

Substitute the numbers 0-9 for the letters above to create a true addition. solution

Add the four digits that make up the year of your birth. Subtract the answer from the year of your birth. The answer you get is a multiple of nine. Why is this?
solution

Think of a number less than 10.
Multiply it by 2.
Add 3 then multiply your answer by 5.
Now add another number less than 10.
Subtract 15 and look at your answer!
what do you notice?

Weather Forecasts

what is the next number in the sequence

77, 49, 36, 18, ...

"Prune won and Quiz beat Rustler by a short head for second place," Sid insisted. "Satan was lengths behind." Bill shook his head. "Prune never won," he said. "But you're right about Quiz coming in second." Joe wasn't taking that. "I was on the rails half way down the stretch, and I saw Quiz win. Zulu was second with Prune third, and Satan way behind like he wasn't interested." The other two laughted. "I only say what I saw," Bill declared, "Zulu was third with Rustler fourth." In fact each of them had made two mistakes, although Rustler was certainly one of the four horses in the race. What was the actual order of finishing? solution

A 5 km long army marches in a straight line at a constant speed. A mounted messenger boy at the rear named Gabriel leaves his position to deliver a message to the General at the head of the army. He too travels in a straight line at constant speed. When Gabriel shouts his message at the front he immediately turns round and heads towards the rear at his original speed. When he reaches the rear Gabriel notices that he is where the front of the army was when he began.