IMO Mathematics Olympiad (SOF) Class 8: Questions 682  689 of 1030
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Question number: 682
Question
On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?
Choices
Choice (4)  Response  

a.  160 

b.  166 

c.  165 

d.  163 

Question number: 683
Question
14321 is divisible by________.
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  9 

d.  None of the above 

Question number: 684
Question
On dividing 6740 by a certain number, we get 56 as quotient and 20 as remainder. What is the divisor?
Choices
Choice (4)  Response  

a.  126 

b.  125 

c.  120 

d.  121 

Question number: 685
Question
The largest natural number by which the product of three consecutive even natural numbers is always divisible is________.
Choices
Choice (4)  Response  

a.  96 

b.  28 

c.  48 

d.  18 

Question number: 686
Question
If , where A and B are single digit number such that, then the values of A and B are________.
Choices
Choice (4)  Response  

a.  4,5 

b.  4,4 

c.  5,5 

d.  None of the above 

Question number: 687
Question
If , where A and B are single digit number such that, then the values of B and A are________.
Choices
Choice (4)  Response  

a.  4,5 

b.  5,4 

c.  6,9 

d.  9,6 

Question number: 688
Question
Euler’s formula for any polyhedron, where F is the number of faces, V stands for number of vertices and E stands for number of edges is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 689
Question
The least value must be given to x so that the number 3128 × 4 is divisible by 8 is________.
Choices
Choice (4)  Response  

a.  1 

b.  3 

c.  4 

d.  2 
