IMO Mathematics Olympiad Class 10: Questions 537  540 of 908
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Question number: 537
Question
In a certain office, of the workers is women, of the women is married and of the married women have children. If of the men are married and of the married men have children, what parts of workers are without children?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 538
Question
One fourth of a head of Camel is in the forest. Twice the square root of the head has gone to mountains, and of the remaining, 20 are on the bank of a river. The total number of cows is ________
Choices
Choice (4)  Response  

a.  20 

b.  14 

c.  18 

d.  16 

Question number: 539
Question
65 bugs are placed at different squares of a 9 × 9 square board. A bug in each moves to a horizontal or vertical adjacent square. No bug makes two horizontal or two vertical moves in succession.
Choices
Choice (4)  Response  

a.  After some moves, there will be at least four bugs in the same square 

b.  After some moves, there will be at least one bug in the same square 

c.  After some moves, there will be at least three bugs in the same square 

d.  After some moves, there will be at least two bugs in the same square 

Question number: 540
Question
A bag contains tickets marked with numbers 179, 180, 172, 127, 155, 115, 143, 122, 175, 222, 232, 162, 112, 136, 192, 182, 174, 132, 32, 131. A ticket is drawn at random. Find the probability that the ticket drawn has an even digit at ten’s place.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

