IMO Mathematics Olympiad (SOF) Class 6: Questions 209  215 of 1049
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Question number: 209
Question
What is the least number to be subtracted from 1936 so that when divided by 9, 10 and 15 it will leave the same remainder in each case?
Choices
Choice (4)  Response  

a.  40 

b.  44 

c.  38 

d.  42 

Question number: 210
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: 211
Question
A number is always divisible by 72 if
Choices
Choice (4)  Response  

a.  It is divisible by both 2 and 36 

b.  It is divisible by both 3 and 24 

c.  It is divisible by both 6 and 12 

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

Question number: 212
Question
The integer which is 5 less than is
Choices
Choice (4)  Response  

a.  11 

b. 


c.  9 

d.  2 

Question number: 213
Question
When a number is divided by eight, it has a remainder of 2. When it is divided by nine, it has remainder of 1. What is the number?
Choices
Choice (4)  Response  

a.  34 

b.  10 

c.  15 

d.  12 

Question number: 214
Question
What least value should be given to * so that the number 653 * 47 is divisible by 11?
Choices
Choice (4)  Response  

a.  9 

b.  6 

c.  7 

d.  1 

Question number: 215
Question
The numbers which have more than two factors are called ________.
Choices
Choice (4)  Response  

a.  Prime & Composite 

b.  Prime 

c.  Composite 

d.  Question does not provide sufficient data or is vague 
