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A criminal came across a password lock. He has the following information with him. Can you help him out?

–1 vote
1,734 views

While trying to pull out a robbery, a criminal came across a password lock. He has the following information with him that can assist him in cracking the password.

Can you help him out?

  1. The password is a 5-digit number.
  2. The 4th digit is 4 more than the 2nd one.
  3. The 3rd digit is 3 less than the 2nd one.
  4. The 1st digit is three times the 5th digit.
  5. Three pairs of digits sum up to 11.
posted Sep 21, 2015 by Samardeep Acharya

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2 Answers

+2 votes

The answer is 65292
First digit is three times fifth one 2*3=6
Third digit is three less than second 5-3=2
Fourth digit is four more than second 5+4 = 9
Three pairs of digits sum up to 11 --? 6,5 / 2,9 / 9,2

answer Sep 22, 2015 by Padmanabha Vyasamoorthy
+1 vote

5digit number = abcde
a=3e ; three pairs (of ab,bc,cd,de) sum up to 11 ---> conclusion: b,c,d > 1 and 0 < e < 4
d= b+4 and c= b-3 ---> d- c = 7
if d=8 then c=1 (wrong because c >1); so d = 9 and c=2 ----> b=5
bc pair sum up to 5+2=7 so other three pairs sum up must be 11
so a=11-5=6 and e=11-9=2 or e=6/3=2
Hence five digit number is: 65292

answer Oct 16, 2015 by Parlin Simanjuntak



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