Problems

Age
Difficulty
Found: 1048

Three friends were at the prom dressed in white, red and blue dresses. Their shoes were of the same three colors. Only Sarah’s shoes and dress were of the same color. Laura was wearing white shoes. Neither the dress nor the shoes of Linda were red. Identify the colors of the dresses and of the shoes of the three friends.

Some girls are on a street. On the street, standing in a circle, four girls are talking: Janine, Mimi, Beatrix and Tash. A girl in a green dress (not Janine or Mimi) stands between a girl in a blue dress and Tash. A girl in a white dress is standing between a girl in a pink dress and Mimi. What dress is on each of the girls?

Everyone believed that the Dragon was one-eyed, two-eared, three-legged, four-nosed and five-headed. In fact, only four of these definitions form a certain pattern, and one is redundant. Which characteristic is unnecessary?

Seven nines written out in a series: 9 9 9 9 9 9 9. Put some “\(+\)” or “\(-\)” between some of them, so that the resultant expression equals 1989.

Fred always tells the truth, but George always lies. What question could you ask them so that they would give the same answer?

Jemima always tells the truth, but when she was asked the same question twice, she gave different answers. What kind of question could this be?

1. A bagel is cut into sectors. Ten cuts were made. How many pieces did this make?

2. Woodchucks are sawing a log. They made 10 cuts. How many pieces were made? How can we explain why the answers in the previous two questions are different?

Are the sum and product odd or even for:

a) two even numbers?

b) two odd numbers?

c) an odd and an even number?