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Number Quiz (Posted on 2003-08-28) Difficulty: 3 of 5
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.)

See The Solution Submitted by Gamer    
Rating: 4.0000 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Answer Comment 23 of 23 |
If the answer to 1 is A, then the number is less than 100. Then, it is also less than 900, so the answer to 1 is B. Therefore, the answer to 1 is not A, so the number is at least 100. That implies that it has 3 digits.

If the answer to 6 is B, then the number is divisible by 20. That means that the answer to 3 is both A and C. That is impossible, so the answer to 6 is A. The last two digits of the number must be 00, 19, 38, 57, 76, or 95. If they are 00, 19, or 95, then neither answer to 4 will work. Therefore, they are either 38, 57, or 76.

Now, the number cannot be divisible by 15, so the answer to 5 is not A. If the answer to 5 is C, then the first digit must be 0, which contradicts the fact that the number is at least 100. Therefore, the answer to 5 is B. The number has to be either 238 or 357.

"Two hundred thirty-eight" does not have any of the letters in the answers to 7. "Three hundred fifty-seven" has a V in it. Therefore, the answer to 7 is D. The number is 357.

1. B
2. A
3. B
4. A
5. B
6. A
7. D
8. C
9. B
10. A

  Posted by Math Man on 2015-08-25 19:14:12
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