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1-2-3 Remainder Resolution (Posted on 2016-02-16) Difficulty: 3 of 5
Abe challenges Bee to determine a 3-digit positive integer N.
It is known that the number formed by the last two digits of N when divided by 9, yields a remainder of 3.

Abe makes the following statements, precisely one of which is false:
  1. N divided separately by each of 2, 4, 6, and 8 yields a remainder of 1.
  2. N divided separately by each of 5 and 7 yields a remainder of 2.
  3. N divided separately by each of 5 and 11 yields a remainder of 3.
Determine the value of N from the above statements and given clues.

No Solution Yet Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution | Comment 3 of 12 |
DefDbl A-Z
Dim crlf$


Private Sub Form_Load()
 Form1.Visible = True
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 For last2 = 3 To 100 Step 9
  For first1 = 1 To 9
   n = 100 * first1 + last2
   If n Mod 8 = 1 And n Mod 6 = 1 Then numtrue = 1 Else numtrue = 0
   If n Mod 5 = 2 And n Mod 7 = 2 Then numtrue = numtrue + 1
   If n Mod 5 = 3 And n Mod 11 = 3 Then numtrue = numtrue + 1
   If numtrue = 2 Then Text1.Text = Text1.Text & n & crlf
  Next
 Next

 Text1.Text = Text1.Text & crlf & " done"
  
End Sub

finds 

457

  Posted by Charlie on 2016-02-16 11:59:08
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