PUZZLES

PUZZLES

Q: The diameter of the big circle is 60 cms. What is the total circumference of all 5 circles? Assume the line segment passes through all the center of the circles.

Q: The area of EOF is a quarter of a circle with point O at the center of the circle. The line segment AC is 8 inches long and the line segment BC is 6 inches long. How many square inches are in the non-shaded areas?

Q: Among 12 identical looking golf balls there is one that is defective in weight. It is either heavier or lighter than the standard one. You have a balance. You can only weigh 3 times to find out which one is defective and whether it is heavier or lighter.

Q: In the equation shown, A, B, C, D, and E are 5 consecutive positive integers. What are they?

A^{2 + B2 + C2 = D2 + E2}

 

Q: There are 3 triplet brothers. They look identical. The oldest is John, he always tells the truth. The second is Jack, he always tells a lie. The third is Joe, he either tells the truth or a lie. MrDean went to visit them one day. He was wondering who was who. So he asked each person a question.

He asked the one who was sitting on the left: "Who is the guy sitting in the middle?". The answer was "He is John."

He asked the one who was sitting in the middle: "What is your name?". The answer was "I am Joe." He asked the one who was sitting on the right: "What is the guy sitting in the middle?". The answer was "He is Jack."

Mr. Dean got really confused. Basically, he asked 3 same questions, but he got 3 different answers. Would you find out who is who for MrDean?

Q: When the Titanic sank in the ocean, four gentlemen and four young ladies floated on to an island. After a while, all of them fell in love with each other. Each person loved one and only one.

The girl that John loved fell in love with Jim. The girl that Allan loved fell in love with Bill. The gentleman that Rose loved fell in love with Mary. Gloria loved the gentleman who loved rose. Gloria did not like Jim and John. Bill did not like Mary. Jill did not like the gentleman who loved her.

The question is: Whom did Allan love?