IMO Mathematics Olympiad Class 10: Questions 569  572 of 958
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Question number: 569
Question
P, Q and R start at the same time in the same direction to run around a circular stadium. P completes a round in 200 seconds, Q in 100 seconds and R in 300 seconds, all starting at the same point. After what time will they meet again at the starting point?
Choices
Choice (4)  Response  

a.  30 minutes 

b.  10 minutes 

c.  16 minutes 

d.  20 minutes 

Question number: 570
Question
Walking at threefourths of his usual speed a man covers a certain distance in two hours than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ________
Choices
Choice (4)  Response  

a.  4.5 hours 

b.  6 hours 

c.  5.5 hours 

d.  5 hours 

Question number: 571
Question
The ratio between the ages of Dipti and Cristal at present is. Three years hence the ratio of their ages will be. What is the present age of Cristal?
Choices
Choice (4)  Response  

a.  28 years 

b.  27 years 

c.  24 years 

d.  26 years 

Question number: 572
Question
Shivam buys a watch for Rs. 1, 60, 000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs. 6000 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.  6, 28, 000 

b.  5, 27, 750 

c.  8, 27, 000 

d.  9, 84, 800 
