Direct and Inverse Proportions (IMO Mathematics Olympiad Class 8): Questions 42  47 of 62
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Question number: 42
» Direct and Inverse Proportions
Question
If A: B = 3: 4 and B: C = 5: 6, then C: A is equal to, ________.
Choices
Choice (4)  Response  

a.  15: 14 

b.  24: 15 

c.  12: 23 

d.  25: 14 

Question number: 43
» Direct and Inverse Proportions
Question
A cistern has two inlets A and B which can fill it in 10 minutes and 20 minutes respectively. An outlet C can empty the full cistern in 4 minutes. If all the pipes are opened together in the empty tank, time taken to fill the tank completely is ________.
Choices
Choice (4)  Response  

a.  25 minutes 

b.  20 minutes 

c.  15 minutes 

d.  10 minutes 

Question number: 44
» Direct and Inverse Proportions
Question
A water tank is twofifth full. Pipe A can fill a tank in 12 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices
Choice (4)  Response  

a.  4.8 minutes 

b.  5 minutes 

c.  4 minutes 

d.  5.5 minutes 

Question number: 45
» Direct and Inverse Proportions
Question
A man completes of a job in 12 days. At this rate how many more days will it take him to finish the job?
Choices
Choice (4)  Response  

a.  27 

b.  26 

c.  24 

d.  23 

Question number: 46
» Direct and Inverse Proportions
Question
can do a piece of work in 20 days and can do alone it in 10 days. B works at it for 5 days and then leaves. alone can finish the remaining work in________.
Choices
Choice (4)  Response  

a.  11 days 

b.  10 days 

c.  10.5 days 

d.  5 days 

Question number: 47
» Direct and Inverse Proportions
Question
Two numbers are in the ratio 7: 9. If each number is increased by 18, the ratio becomes 9: 11. The numbers are________.
Choices
Choice (4)  Response  

a.  35, 81 

b.  63, 85 

c.  65, 35 

d.  63, 81 
