Real Numbers (IMO Mathematics Olympiad (SOF) Class 10): Questions 84  88 of 89
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Question number: 84
» Real Numbers
Question
Three men, four women and six children can complete a work in seven days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete the work in 7 days?
Choices
Choice (4)  Response  

a.  8 

b.  14 

c.  7 

d.  12 

Question number: 85
» Real Numbers
Question
There are two examination rooms P and Q. If 10 candidates are sent from P to Q, the number of students in each room is the same. If 20 candidates are sent from Q to P, the number of students in P is double the number of students in Q. Find the number of students in each room.
Choices
Choice (4)  Response  

a.  P = 95, Q = 70 

b.  P = 100, Q = 80 

c.  P = 110, Q = 60 

d.  P = 60, Q = 40 

Question number: 86
» Real Numbers
Question
A group of girls planned a picnic. The budget for food was Due to illness, 10 girls could not go to the picnic and cost of food for each girl increased by . How many girls had planned the picnic?
Choices
Choice (4)  Response  

a.  50 

b.  57 

c.  60 

d.  65 

Question number: 87
» Real Numbers
Question
A number x is selected from the number 1, 2 & 3 and then a second number y is randomly selected from the numbers 1, 4 & 9. What is the probability that the product xy of the two numbers will be less than 9?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 88
» Real Numbers
Question
The average of five consecutive natural number is m. If the next three natural numbers are also included, how much more than m will the average of these 8 numbers be?
Choices
Choice (4)  Response  

a.  2 

b.  1.5 

c.  1.4 

d.  1 
