IMO Mathematics Olympiad Class 8: Questions 189  197 of 1029
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Question number: 189
Following Statement is true or false:
The sum of the cubes of first n natural numbers is equal to the square of their sum. This statement is true or not?
Question number: 190
Question
The cube root of is________.
Choices
Choice (4)  Response  

a.  16 

b.  8 

c.  64 

d.  4 

Question number: 191
Question
In the five digit number 13ab4, a is the greatest single digit perfect cube and a is greater four times of b. then find the sum of the number and its cube root is________.
Choices
Choice (4)  Response  

a.  13824 

b.  13825 

c.  13820 

d.  13848 

Question number: 192
Question
Find the value of .
Choices
Choice (4)  Response  

a.  30 

b.  50 

c.  31 

d.  70 

Question number: 193
Question
The value of is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 194
Question
Two cubes have volume in the ratio 1: 125. The ratio of the area of the face of one to that of the other is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 195
Question
The value of is________.
Choices
Choice (4)  Response  

a.  14 

b.  10 

c.  15 

d.  12 

Question number: 196
Question
If , then the value of is________.
Choices
Choice (4)  Response  

a. 


b.  30.20 

c.  24.70 

d.  25.00 

Question number: 197
Question
The smallest number by which 121 must be multiplied so that the product is a perfect cube is________.
Choices
Choice (4)  Response  

a.  11 

b.  8 

c.  9 

d.  10 
