The teacher explains, "Now take out your homework class, and answer these questions about the number you calculated for homework. Remember, it was a positive integer no more than 1000."

1 Is the number
A) Less than 100
B) Less than 900
C) Greater than 900

2 Is the sum of the digits
A) Greater than 10
B) Greater than 20
C) Greater than 30

3 Is the number divisible by:
A) 2
B) 3
C) 5

4 Are the digits:
A) Strictly increasing
B) Strictly decreasing

5 Is the number divisible by:
A) 15
B) 17
C) 19

6 If you get rid of the number's first digit, is it divisible by:
A) 19
B) 20

7 When spelled out, does the spelling use:
A) J
B) L
C) Q
D) V
E) X
F) Z

8 Ignoring the sign, what is the difference between the hundred's digit and the one's digit?
A) 2
B) 3
C) 4
D) 5

9) How many times does the letter E appear when the word is spelled out?
A) 3
B) 5
C) 7

10 Is the first digit of the number
A) Odd
B) Even

You panic, because you were too busy last night solving other things on flooble and didn't get a chance to do your homework. But when you figure out the quiz (where exactly one answer is right per question), you see that only one number will work.

What is this number?

(Note: Spelled out means in words. For example: 123 is "One hundred twenty three". Divisible means divided with no remainder. Also, padding the number with leading zeroes isn't allowed.)

(In reply to Note to Gamer by Lawrence)

I am aware of what I put in questions 1 and 2. Leading zeroes and the "One hundred twenty and three" thing (and things like it) aren't usually legal in problems like this, so I put the note in. People try to find a way from everything. "You didn't say no leading zeroes... so there! I am right!" isn't good when both people know that's not what the problem intended.

Anyway, nikki's solution is somewhat similar to what I used. Narrowing down it must be divisible by 17 and leaving off the hundreds digit makes it divisible by 19 only leaves a few possibilities. By using clues 7, 8, and 9, you can figure out what the answer is.

Posted by Gamer on 2003-08-28 19:35:11