IMO Mathematics Olympiad Class 10: Questions 527  531 of 889
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Question number: 527
Question
Sudhir buys a watch for Rs. . He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs. 10, 000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.
Choices
Choice (4)  Response  

a.  4, 25, 000  
b.  6, 85, 000  
c.  9, 25, 000  
d.  3, 82, 000 
Question number: 528
Question
A rectangular carpet has an area of 105 sq. m its diagonal and longer side together equal 6 times the shorter side. The length of the carpet is ________
Choices
Choice (4)  Response  

a.  17.5 m  
b.  13.5 m  
c.  16.23 m  
d.  19.4 m 
Question number: 529
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: 530
Question
4 bells commence tolling together and toll at intervals of 6, 12, 18 and 24 seconds respectively. In 6 minutes, how many times do they toll together?
Choices
Choice (4)  Response  

a.  4  
b.  6  
c.  5  
d.  7 
Question number: 531
» Triangle, Circle & Constructions
Question
ABC and DBC are two equilateral triangles on the same base BC. A point P is taken on the circle with Centre D, radius BD. Show that PA, PB, PC are the sides of a right triangle
Choices
Choice (4)  Response  

a.  PA, PB, PC are the sides of a obtuse triangle  
b.  PA, PB, PC are the sides of a right triangle  
c.  PA, PB, PC are the sides of a acute triangle  
d.  PA, PB, PC are the sides running along circle 