IMO Level 1 Mathematics Olympiad (SOF) Class 8: Questions 217  225 of 1040
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Question number: 217
Question
By what least number must 648 be multiplied to make it perfect cube?
Choices
Choice (4)  Response  

a.  10  
b.  4  
c.  5  
d.  9 
Question number: 218
Question
In the number a4b, a is the smallest two digit perfect cube and a’s unit digit exceeds b by 3. then find the sum of the number and its cube root is________.
Choices
Choice (4)  Response  

a.  2713  
b.  2754  
c.  2758  
d.  2750 
Question number: 219
Question
The smallest number by which 225 must be multiplied so that the product is a perfect cube is________.
Choices
Choice (4)  Response  

a.  10  
b.  15  
c.  11  
d.  9 
Question number: 220
Question
The volume of a cube whose surface area is , is________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 221
Question
If , then is equal to________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 222
Question
=
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 223
Question
If , then is equal to________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 224
Question
By what least number must 3125 be multiplied to make it perfect cube?
Choices
Choice (4)  Response  

a.  5  
b.  4  
c.  10  
d.  25 
Question number: 225
Question
Three numbers are in the ratio of 1: 2: 3. The sum of their cubes is 98784. The numbers are________.
Choices
Choice (4)  Response  

a.  6: 12: 18  
b.  10: 11: 12  
c. 
 
d.  15: 30: 45 