IMO Mathematics Olympiad (SOF) Class 8: Questions 841  846 of 1029
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Question number: 841
Appeared in Year: 2012
Question
A person wants to reduce the trade tax so he calculates his profit on the sale price instead of on the cost price. In this way by selling an article for Rs. 280 he calculates his profit as what is the actual profit percentage?
Choices
Choice (4)  Response  

a.  20.25% 

b.  14.86% 

c.  16.66% 

d.  15.00% 

Question number: 842
Question
A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds.
Choices
Choice (4)  Response  

a.  12: 13 

b.  15: 16 

c.  11: 12 

d.  All of the above 

Question number: 843
Question
The ratio of ages of Mahesh and Ramesh is 3: 5. After 12 years this ratio becomes 5: 7. What is the present age of Ramesh?
Choices
Choice (4)  Response  

a.  25 years 

b.  20 years 

c.  30 years 

d.  10 years 

Question number: 844
Question
The cost of a Fridge is 2 times more than the cost of T. V. , If the cost of 3 T. V. and 2 Fridge is 3, 50, 000. Then price of the Fridge is________.
Choices
Choice (4)  Response  

a.  Rs. 50, 000 

b.  Rs. 1, 00, 000 

c.  Rs. 30, 000 

d.  None of the above 

Question number: 845
Question
At 4: 00 p. m. on a sunny day, a tree 24 feet tall casts a shadow 15 feet long. At the same time, a man of 6 feet casts a shadow________feet long.
Choices
Choice (4)  Response  

a.  5 feet 

b.  3.75 feet 

c.  4 feet 

d.  4.25 feet 

Question number: 846
Question
A man 6 feet tall casts a shadow 10 feet long. At the same time, a tree nearby casts a shadow 60 feet long. What is the height, in feet, of the tree?
Choices
Choice (4)  Response  

a.  23 feet 

b.  21 feet 

c.  25 feet 

d.  36 feet 
