IMO Mathematics Olympiad (SOF) Class 6: Questions 161  167 of 1049
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Question number: 161
Question
The HCF two numbers is 18. If one of the numbers is 90 and another is 36, then their LCM is
Choices
Choice (4)  Response  

a.  180 

b.  165 

c.  170 

d.  155 

Question number: 162
Question
The LCM of two numbers is 138. If one of the numbers is 46 and another is 69, then the HCF is
Choices
Choice (4)  Response  

a.  23 

b.  13 

c.  28 

d.  29 

Question number: 163
Question
There are 378 red cards in box. A boy takes out 9 red cards from it and replaces them by 14 blue cards. He continues to do so, till all red cards are replaced by blue cards. Find the number of blue cards put in the box?
Choices
Choice (4)  Response  

a.  438 

b.  658 

c.  588 

d.  348 

Question number: 164
Question
The number 3, 116, 365 is divisible by
Choices
Choice (4)  Response  

a.  5 

b.  5 & 7 

c.  7 

d.  Question does not provide sufficient data or is vague 

Question number: 165
Question
Cube of any negative integer is
Choices
Choice (4)  Response  

a.  0 

b.  Negative 

c.  Depend on the nature of integer 

d.  Positive 

Question number: 166
Question
Find the smallest number which will divide the greatest 3digit number and the greatest 5digit number exactly.
Choices
Choice (4)  Response  

a.  9 

b.  8 

c.  7 

d.  3 

Question number: 167
Question
If positive sign precedes a bracket the sign of the terms inside the bracket will ________ when the bracket is removed.
Choices
Choice (4)  Response  

a.  Change 

b.  Be 0 

c.  Depends on the bracket 

d.  Not change 
