IMO Mathematics Olympiad Class 8: Questions 827  831 of 1029
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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 

Question number: 829
Question
If a building casts a 20 feet shadow and a flagpole casts a 7 feet shadow and the flagpole is 12 feet tall, how high is the building?
Choices
Choice (4)  Response  

a.  35 feet 

b.  34.2 feet 

c.  31 feet 

d.  33 feet 

Question number: 830
Appeared in Year: 2012
Question
In the morning batch at a school we have observed that when five students took seat on each bench, 4 students remained unseated. But when eleven students took seat per bench, 4 benches remained vacant. The number of students in the morning batch were?
Choices
Choice (4)  Response  

a.  44 

b.  48 

c.  55 

d.  26 

Question number: 831
Question
A third of Viral’s marks in mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks he get in English?
Choices
Choice (4)  Response  

a.  40 

b.  50 

c.  60 

d.  100 
