IMO Mathematics Olympiad (SOF) Class 8: Questions 857  861 of 1029
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Question number: 857
Question
A stick 2 feet tall casts a shadow 5 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.  21 feet 

b.  24 feet 

c.  23 feet 

d.  25 feet 

Question number: 858
Question
A person who is 5 feet tall is standing 112 feet from the base of a tree, and the tree casts a 110 foot shadow. The person’s shadow is 11 feet in length. What is the height of the tree?
Choices
Choice (4)  Response  

a.  20 feet 

b.  40 feet 

c.  50 feet 

d.  All of the above 

Question number: 859
Question
The difference between compound interest and simple interest for 3 years@20 % p. a. is Rs. 152. What is the principal lent in each case?
Choices
Choice (4)  Response  

a.  1185 Rs 

b.  1182 Rs 

c.  11876.5 Rs 

d.  1285 Rs 

Question number: 860
Question
A merchant has 140 liters, 260 liters and 320 liters of three kinds of oil. He wants to sell the oil by filling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is________.
Choices
Choice (4)  Response  

a.  10 

b.  15 

c.  20 

d.  30 

Question number: 861
Question
A flagpole casts a shadow 30 feet long. A 5 foot woman standing next to the flagpole casts a shadow 6 feet long. Which proportions can be used to find the height of the flagpole?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

