IMO Mathematics Olympiad Class 10: Questions 539  542 of 958
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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. 


Question number: 541
Question
A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought?
Choices
Choice (4)  Response  

a.  750 

b.  240 

c.  40 

d.  480 

Question number: 542
Question
One year ago the ratio between Shravan’s and Pushkar’s salary was. The ratios of their individual salaries between last year’s and this year’s salaries are and respectively. At present, the total of their salary is Rs. 3420. The salary of Pushkar’s now, is ________
Choices
Choice (4)  Response  

a.  Rs. 1640 

b.  Rs. 1740 

c.  Rs. 1440 

d.  Rs. 1540 
