IMO Level 1 Mathematics Olympiad (SOF) Class 7: Questions 48  52 of 1022
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Question number: 48
Question
If p: every fraction is a rational number and q: every rational number is a fraction, then which of the following statements is/are correct?
Choices
Choice (4)  Response  

a.  p is false and q is true 

b.  p is true and q is false 

c.  p and q are true 

d.  p and q are false 

Question number: 49
Question
The value of X in, is________.
Choices
Choice (4)  Response  

a. 


b. 


c.  2 

d.  4 

Question number: 50
Question
The value of such that and are equivalent rational numbers is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  3 

Question number: 51
Question
The value of , where.  is absolute value of an integer is________.
Choices
Choice (4)  Response  

a.  0 

b.  3 

c.  1 

d.  2 

Question number: 52
Question
Which of the following statements are correct?
(1). Every integer is rational number and every rational number is a fraction.
(2). A rational number is positive if and are either both positive or both negative.
(3). A rational number is negative if one of and is positive and other is negative.
(4). If there are two rational numbers with common denominator then the one with the larger numerator is larger than the other.
Choices
Choice (4)  Response  

a.  Statements 1 and 4 are incorrect 

b.  Statements 2 and 3 are incorrect 

c.  Statement 1 is incorrect 

d.  All a. , b. and c. are correct 
