Playing With Numbers (IMO Mathematics Olympiad (SOF) Class 6): Questions 43  50 of 86
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Question number: 43
» Playing With Numbers
Question
A number is always divisible by 60 if
Choices
Choice (4)  Response  

a.  It is divisible by both 6 and 10 

b.  It is divisible by both 2 and 30 

c.  It is divisible by both 4 and 15 

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

Question number: 44
» Playing With Numbers
Question
There are 165 pens and 195 pencils. These pens and pencils are to be arranged in bags containing the same number of pens and pencils. Then the greatest number of pens and pencils possible in each bag is
Choices
Choice (4)  Response  

a.  15 

b.  18 

c.  13 

d.  23 

Question number: 45
» Playing With Numbers
Question
Prime factorization of 1975 is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 46
» Playing With Numbers
Question
The smallest number which when divided by 20, 25, 35 and 40 and leaves a remainder of 14, 19, 29 and 34 respectively is
Choices
Choice (4)  Response  

a.  1406 

b.  1404 

c.  1664 

d.  1394 

Question number: 47
» Playing With Numbers
Question
The number 9, 675, 630 is divisible by
Choices
Choice (4)  Response  

a.  5 & 9 

b.  9 

c.  5 

d.  All of the above 

Question number: 48
» Playing With Numbers
Question
Find the greatest number which will divide the greatest 4digit number and the greatest 5digit number exactly.
Choices
Choice (4)  Response  

a.  9 

b.  8 

c.  7 

d.  3 

Question number: 49
» Playing With Numbers
Question
LCM of two coprime numbers is their
Choices
Choice (4)  Response  

a.  Product 

b.  Sum 

c.  Quotient 

d.  Difference 

Question number: 50
» Playing With Numbers
Question
The smallest number which when divided by 9, 12, 24 and 30 and leaves a remainder of 2, 5, 17 and 23 respectively is
Choices
Choice (4)  Response  

a.  353 

b.  453 

c.  657 

d.  367 
