self Maths Puzzle

You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.

After a few minutes each of your friends has one apple each, yet there is an apple remaining in the basket.

How?

Read Solution (Total 2)

the remaining apple is mines
12 years agoHelpfull: Yes(3) No(2)

One friend will get apple with the basket.
12 years agoHelpfull: Yes(3) No(1)

self Other Question

This is a simple Number System Problem, posted under Placement Category

Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?

1)(x-z)2 y is even 2)(x-z)y2 is odd 3) (x-z)y is odd 4)(x-y)2z is even At the Party:
1. There were 9 men and children.
2. There were 2 more women than children.
3. The number of different man-woman couples possible was 24. Note that if
there were 7 men and 5 women, then there would have been 35 manwoman
couples possible.
Also, of the three groups - men, women and children - at the party:
4. There were 4 of one group.
5. There were 6 of one group.
6. There were 8 of one group.
Exactly one of the above 6 statements is false.
Can you tell which one is false? Also, how many men, women and children are
there at the party?