IMO Mathematics Olympiad (SOF) Class 6: Questions 221  227 of 1049
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Question number: 221
Question
The two numbers smaller than 4000 which are exactly divisible by each of 2,3, 4,5, 6 and 8 is
Choices
Choice (4)  Response  

a.  4020,3810 

b.  3920,4140 

c.  3720,2880 

d.  2720,4320 

Question number: 222
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: 223
Question
The two numbers nearest to 10000 which are exactly divisible by each of 2,3, 4,5, 6 and 7 is
Choices
Choice (4)  Response  

a.  9669,10080 

b.  10340,10080 

c.  9320,10080 

d.  9660,10080 

Question number: 224
Question
The two consecutive prime numbers with difference 2 are called ________.
Choices
Choice (4)  Response  

a.  Composite 

b.  Coprimes 

c.  Twin primes 

d.  Even 

Question number: 225
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 

Question number: 226
Question
If a, b and c are whole numbers such that a > b and c 0 and c > 0, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 227
Question
A unit fraction is one of the from where ‘a’ is a natural number ( . Any proper fraction can be written as the sum of two or more unit fractions.
{Ex. }
In the case of , the factors of 2 are 1 and 2 only
Express as the sum of two different unit fraction in different ways.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

