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A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6. What is the smallest such number?

 Mar 19, 2019
 #1
avatar+19966 
+1

Maybe 62 ?

 Mar 19, 2019
 #2
avatar+140 
+2

thanks

CorbellaB.15  Mar 19, 2019
 #3
avatar+4330 
+2

LCM of 3, 4, 5, and 6 =10*2*3=60. Then, add 2 for the remainder to get 60+2=62.

 

You can also use modular arithmetic. cool

 Mar 19, 2019

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