The teacher explains, "Now take out your homework class, and answer these ten 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
Alex panics, because he was too busy last night solving other things on the internet and didn't get a chance to do his homework. But when he looks over the quiz (where
exactly one answer is correct per question), he observes 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.