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 Either / Or (Posted on 2006-05-13)
I am a three digit number.
I am either divisible by 3 or by 5.
I am either divisible by 4 or by 6.
I am either divisible by 5 or by 7.
I am either divisible by 6 or by 8.
I am either divisible by 7 or by 9.
I am either divisible by 9 or by 11.

What am I?

(Note: "divisible" means leaving no remainder.)

 See The Solution Submitted by tomarken Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 That depends on what "or" is -- computer solution | Comment 4 of 17 |

All these fit the bill:

126
180
252
270
360
378
450
462
504
540
630
720
756
810
882
900
924
990

since "or" does not exclude the possibility of both parts being true.

FOR n = 100 TO 999
IF n MOD 3 = 0 OR n MOD 5 = 0 THEN
IF n MOD 4 = 0 OR n MOD 6 = 0 THEN
IF n MOD 5 = 0 OR n MOD 7 = 0 THEN
IF n MOD 6 = 0 OR n MOD 8 = 0 THEN
IF n MOD 7 = 0 OR n MOD 9 = 0 THEN
IF n MOD 9 = 0 OR n MOD 11 = 0 THEN
PRINT n
END IF
END IF
END IF
END IF
END IF
END IF
NEXT

 Posted by Charlie on 2006-05-13 12:22:48

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