IMO Mathematics Olympiad (SOF) Class 7: Questions 70  75 of 1012
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Question number: 70
Assertion (Ꭺ)
Rational numbers are always closed under division by only nonzero rational numbers
Reason (Ꭱ)
Division by zero is not defined for any rational numbers
Choices
Choice (4)  Response  

a.  Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ 

b.  Ꭺ is false but Ꭱ is true 

c.  Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ 

d.  Ꭺ is true but Ꭱ is false 

Question number: 71
Question
Which of the following statement is true?
Choices
Choice (4)  Response  

a.  The product of a negative and a positive integer may be zero 

b.  The product of a positive and a negative integer is negative 

c.  For all nonzero integers a and b, is always greater than either a or b 

d.  None of the above 

Question number: 72
Question
Which of the following statement is true?
Choices
Choice (4)  Response  

a.  The product of two negative integers is positive 

b.  For all nonzero integers a and b, is always greater than either a or b 

c.  The product of a negative and a positive integer may be zero 

d.  None of the above 

Question number: 73
Question
Simplify
Choices
Choice (4)  Response  

a.  89 

b.  88 

c.  87 

d.  90 

Question number: 74
Question
The difference of the sum of even numbers and sum of odd numbers between 10 and 20 is________.
Choices
Choice (4)  Response  

a.  14 

b.  15 

c.  13 

d.  16 

Question number: 75
Question
A rational number
Choices
Choice (4)  Response  

a.  Cannot be determined on which side the number lies 

b.  It is not possible to represent on the number line 

c.  Lies to the left side of 0 on the number line 

d.  Lies to the right side of 0 on the number line 
