IMO Mathematics Olympiad (SOF) Class 8: Questions 823  828 of 1030
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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 

Question number: 827
Question
The ages of two persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find their present ages.
Choices
Choice (4)  Response  

a.  12 years, 25 years 

b.  14 years, 30 years 

c.  15 years, 30 years 

d.  All of the above 

Question number: 828
Question
A ladder is leaning against a house. The distance between the bases of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house?
Choices
Choice (4)  Response  

a.  9.5 feet 

b.  9 feet 

c.  10 feet 

d.  All of the above 
