IMO Mathematics Olympiad Class 8: Questions 679  686 of 1029
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Question number: 679
Question
If is divisible by 3, where z is a digit less than 5, then the values of z are________.
Choices
Choice (4)  Response  

a.  3, 1 

b.  1, 2 

c.  1, 0 

d.  0, 3 

Question number: 680
Question
If in a number difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number and difference is divisible by________.
Choices
Choice (4)  Response  

a.  9 

b.  11 

c.  2 

d.  7 

Question number: 681
Question
In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then dividend is________.
Choices
Choice (4)  Response  

a.  2424 

b.  8484 

c.  4848 

d.  2021 

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 
