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Maths exam problem (Posted on 2006-04-21) Difficulty: 3 of 5
A boy met his father after his maths exam. He said, "Dad can you guess the number of students who appeared at our center?"

The following are true regarding the number
a) It has three distinct digits.
b) If you add 99 the number reverses.

He continues saying, "I have the following statements to add regarding the number."

1) It is divisible by the sum of its digits.
2) It is not prime.
3) It has only one common digit with the product of the digits.
4) The sum of the first and last digit is one more than the middle digit.

He adds further that "if I told you which of these statement(s) is/are false then you'd be able to determine the number."

Dad got it. What was the number?

  Submitted by Salil    
Rating: 4.0000 (6 votes)
Solution: (Hide)
Among the various possibilities 485 is the correct number since this is the only number complying to False, True, False, True results for the four statements added. Dej Mar has explained the solution in detail with all the possibilities.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): yes!!!! got it finally......Charlie2022-12-10 10:23:29
re: yes!!!! got it finally......K Sengupta2022-12-10 02:01:09
yes!!!! got it finally......manohar2006-05-23 04:14:48
SolutionNo SubjectSparsh2006-05-05 10:42:05
Statement 4 must be false.david2006-05-04 21:15:43
re: response to puzzleCharlie2006-04-25 08:44:54
response to puzzleG2006-04-24 20:51:35
Solutionthe correct answercyberdan2006-04-22 21:10:57
re: Solution (Problem)Stephen2006-04-22 01:35:28
SolutionSolutionJohn2006-04-22 00:48:05
SolutionA non-computer solutionDej Mar2006-04-21 19:00:10
Solutioncomputer solutionCharlie2006-04-21 13:51:45
re: Solutiontomarken2006-04-21 13:06:24
SolutionSolutiontomarken2006-04-21 12:59:47
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