Logic Problems

Ali, Abu and Ahmad went on a race. It is known that, Abu is slower than Ali, Ahmad is not first nor last. Which of the following is correct?

• Ali is first

• Abu is first

• Ahmad is first

• None of the above

A, B, C, D are from China, Japan, America and France. It is known that:

1. A and the Chinese are both doctors

2. B and the French are both teachers

3. C and the Japanese have different jobs

4. D does not know how to treat a patient

What country is A from?

• Chinese

• Japan

• America

• France

Three friends Pablo, Leonardo and Vincent are talking about an art exhibition, that they are about to visit.

Pablo: “There are at least four paintings from Rembrandt at the exhibition”.

Leonardo: “No, they have at most three of Rembrandt’s paintings”.

Vincent: “There is at least one of his paintings”.

It turned out that only one of them was right.

How many of Rembrandt’s paintings can be2 there at the exhibition?

• 0

• 1

• 2

• 3

• 4

Each region in the figure is coloured with one of four colours: red (R), green (G), orange (O), or yellow (Y). (The colours of only three regions are shown.)

Any two regions that touch have different colours. Find the colour of the region X.

• R

• G

• O

• Y

Hamster Fridolin sets out for the Land of Milk and Honey. His way to the legendary Land passes through a system of tunnels. There are 16 pumpkin seeds spread through the tunnels, as shown in the picture.

What is the highest number of pumpkin seeds Fridolin can collect if he is not allowed to visit any junction more than once?

• 7

• 9

• 11

• 13

There are two men. One of them is wearing a red shirt, and the other is wearing a blue shirt. The two men are named Andrew and Bob, but we do not know which is Andrew and which is Bob.

The guy in the blue shirt says, “I am Andrew.”

The guy in the red shirt says, “I am Bob.”

If we know that at least one of them lied, then what color shirt is Andrew wearing?

• Blue

• Red

• Not enough information

Mr. Robin asks his 5 students whether they studied maths yesterday.

White: "No one studied maths yesterday."

Brown: "1 person studied maths yesterday."

Gray: "2 people studied maths yesterday."

Blue: "3 people studied maths yesterday."

Black: "4 people studied maths yesterday."

Mr. Robin knows that only those who studied would be telling the truth and those who didn't would be lying. Who is telling the truth?

• White

• Brown

• Gray

• Blue

• Black

Three men from England, Vietnam and Italy live in three consecutive houses on the street. The colors of the houses are different, and their jobs are different, too. Know that:

1. The man lives in the red house is from Vietnam.

2. The lawyer is from Italy.

3. The middle house belongs to the man from England.

4. The red house is next to the yellow house.

5. The first house on the left belongs to the actor.

Where does the actor come from?

• England

• Vietnam

• Italy

Paul is taller than Joe.

William is shorter than Paul.

Eddie is taller than William but shorter than Joe.

Who is the tallest guy?

• Paul

• Joe

• William

• Eddie

There are 4 gift boxes of different sizes.

- The box A is bigger than the box B.

- The box C is smaller than the box B.

- The box D is smaller than the box A but bigger than the box C.

Which box is the smallest?

• A

• B

• C

• D