IMO Mathematics Olympiad Class 8: Questions 174  182 of 1029
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Question number: 174
Question
A number is multiplied by itself and then 72 is subtracted from the product. If the final result is 5928, then find the original number.
Choices
Choice (4)  Response  

a.  36 

b.  60 

c.  50 

d.  62 

Question number: 175
Question
If , then the value of is________.
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  2 

d.  5 

Question number: 176
Question
Find the smallest square number which is exactly divisible by 5 6, 9 and 12 is, ________
Choices
Choice (4)  Response  

a.  100 

b.  180 

c.  900 

d.  500 

Question number: 177
Question
Square root of 6084 is________.
Choices
Choice (4)  Response  

a.  77 

b.  78 

c.  87 

d.  76 

Question number: 178
Question
If = 4, then = ________.
Choices
Choice (4)  Response  

a.  100 

b.  169 

c.  123 

d.  144 

Question number: 179
Question
The greatest four digit number, which is a perfect square is ________.
Choices
Choice (4)  Response  

a.  9801 

b.  9805 

c.  9900 

d.  9901 

Question number: 180
Question
Which of the following is not a perfect square?
Choices
Choice (4)  Response  

a.  16384 

b.  100489 

c.  5329 

d.  1638 

Question number: 181
Question
A number is multiplied by itself and then 10 is subtracted from the product. If the final result is 590, then find the original number.
Choices
Choice (4)  Response  

a.  60 

b.  30 

c.  50 

d.  36 

Question number: 182
Question
Three numbers are in the ratio of 4: 3: 2. The sum of their cubes is 21384. The numbers are________.
Choices
Choice (4)  Response  

a. 


b.  15: 30: 45 

c. 


d.  6: 12: 18 
