IMO Mathematics Olympiad Class 8: Questions 821  826 of 1029
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Question number: 821
Question
A rectangular sheet of paper 30 cm X 18cm can be transformed into a right circular cylinder in two ways  by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volume of two cylinders formed.
Choices
Choice (4)  Response  

a.  4: 3 

b.  5: 3 

c.  3: 2 

d.  1: 5 

Question number: 822
Question
A ladder is leaning against a house. The distance from the top of the ladder to the ground is 12 feet, and the distance from the foot of the ladder to the house is 4 feet. How tall is the ladder?
Choices
Choice (4)  Response  

a.  12.65 feet 

b.  12 feet 

c.  13 feet 

d.  Question does not provide sufficient data or is vague 

Question number: 823
Question
Roshni’s age after 15 years will be 5 times his age 5 years back. What is the present age of Roshni?
Choices
Choice (4)  Response  

a.  10 years 

b.  30 years 

c.  20 years 

d.  25 years 

Question number: 824
Question
The average age of 2 boys is 14 years and their ages are in proportion 2: 5, the age of youngest girl is________.
Choices
Choice (4)  Response  

a.  4 years 

b.  9 years 

c.  8 years 

d.  10 years 

Question number: 825
Question
If the cost price is 96 % of the selling price, then what is the profit percentage?
Choices
Choice (4)  Response  

a.  6.23% 

b.  4.17% 

c.  4.25% 

d.  5% 

Question number: 826
Question
A roofer’s 29 feet ladder is against the side of a house. It is 7 yards from the ground to the top of the house. How far away from the house must he place the foot of the ladder in order to have the top of the ladder meet the roof of the house?
Choices
Choice (4)  Response  

a.  10 feet 

b.  15 feet 

c.  20 feet 

d.  25 feet 
