Number Systems (IMO Mathematics Olympiad (SOF) Class 6): Questions 65  70 of 84
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Question number: 65
» Number Systems
Question
ABC is a three digit number in which the digit A is greater than the digit B and C. If the difference between ABC and CBA is 297 and the difference between ABC and BAC is 450, find all possible three digit numbers ABC.
Choices
Choice (4)  Response  

a.  724 

b.  946 

c.  835 

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

Question number: 66
» Number Systems
Question
The integer which is 5 less than is
Choices
Choice (4)  Response  

a.  11 

b. 


c.  9 

d.  2 

Question number: 67
» Number Systems
Question
The integer which is 7 more than is
Choices
Choice (4)  Response  

a.  4 

b.   10 

c.  16 

d.   4 

Question number: 68
» Number Systems
Question
There are 216 black balls in a basket. A boy takes out 8 black balls from it and replaces them by 16 white balls. He continues to do so, till all black balls are replaced by white balls. Find the number of white balls put in the basket?
Choices
Choice (4)  Response  

a.  485 

b.  654 

c.  432 

d.  462 

Question number: 69
» Number Systems
Question
If a, b and c are whole numbers such that b > a and c 0 and c > 3, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 70
» Number Systems
Question
If are two whole numbers, then commutative law is applicable to multiplication if
Choices
Choice (4)  Response  

a. 
AND


b. 


c. 


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