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Amusing Math

written by: DieZel
 
You will find out that maths is not so boring and you can actually have fun solving problems. Here are some ten mathematical problems to test your logic.

Question 1:


There are M blue and N red marbles in one box. One marble is chosen randomly and it is put back in the box, together with K other marbles of the same color. Then a second marble is chosen. What is the possibility that the second marble is red, considering that the first one was blue?
M:(M+N-K)
M:(M+N)
N:(M+N+K)
(M+K):(M+N+K)

Question 2:


One kid has a toy car with a strange remote control- it has only one button on it. When the car is switched on, it starts moving forward and doesn't stop until its switched off. When the boy presses the button, the car makes a 60 degree turn clockwise. Considering that this is a very lazy boy, try calculating the smallest number of times he has to press the button so that the car travels back to him.
7
4
5
3

Question 3:


Here is something like a warm-up before you get to the next one. Three friends, Peter, Nick and Tom were competing in a race. After they finished, a person ,who was late for the race, asked them who was the winner. Tom said "I didn't finish first and Peter didn't finish second". Then Nick said "Tom didn't finish second either". Who was the winner?
Nick
Tom
It's impossible
Peter

Question 4:


There are 5 houses, arranged in a row. Each one is painted differently, in every house lives a person of a different nationality, each person likes a different sort of drink and a different brand of cigarettes and has a different pet. Can you guess what is the nationality of the person who has a gold fish? Here are some clues to help you solve it:

1)The Briton lives in the red house.
2)The Swiss has a dog.
3)The green house is on the left side of the white house.
4)The Dane drinks tea.
5)The person who lives in the green house drinks coffee.
6)The person that smokes "Pall Mall" has a canary.
7)The person who lives in the yellow house smokes "Dunhill".
8)The person who lives in the house, situated in the middle of the five, drinks milk.
9)The Norwegian lives in the first house.
10)The person who has a horse lives next to the one who smokes "Dunhill".
11)The person who smokes "Blend" lives next to the cat-lover.
12)The person who smokes "Blue Master" likes drinking beer.
13)The Norwegian lives next to the blue house.
14)The person who lives next to the one who smokes "Blend", drinks water.
15)The German smokes "Prince".  (place mouse pointer over ? icon to view hints or answer requirements)
Briton
Norwegian
German
No way to find out.

Question 5:


One watermelon weighs 10kg (22 lbs) plus the half of its own weight. How much does it weigh?
20kg (44 lbs)
5kg (11 lbs)
25kg (55 lbs)
10kg (22 lbs)

Question 6:


A train leaves from city A to city B at 8:45 AM. Another one leaves from city B to city A at 9:15 AM. The first train arrives in B 40 minutes after they pass while the second arrives in A 1hour and 40 minutes after they pass. Noting that the two trains travel at different but constant speeds, at what time did they pass?
9:55
9:05
10:55
10:05

Question 7:


Try thinking out a random 3-digit number and writing it twice on a piece of paper, forming a 6-digit number (for example the number is 123, than you will have to put down 123123 on the paper). Now divide this 6-digit number by 7. There will be no remainder, I guarantee. Now divide the result by 11. No remainder again, I guarantee. Now divide the new result by 13. What happened?
The result is your original number
There is remainder
The result is zero
The result is twice your original number

Question 8:


Two dice are randomly thrown. What is the possibility that the number, formed by the two digits that come form the dice, is a prime?
2:9
35:36
1:9
2:17

Question 9:


Yesterday I heard an interesting conversation in a shop:

Client: How much is one?
Salesman: Twenty cents.
Client: What about ninety four?
Salesman: Thirty cents.
Client: OK, I'll buy twenty nine. How much is it?
Salesman: Twenty cents.

Is it possible that it was a real product they were talking about?
Yes
No

Question 10:


In this sequence of letters cross out five letters. The letters that are left form a very "tasty" word.
PFIIVNELETETAPEPRLSE


 


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