Elitmus
Exam
Logical Reasoning
Decision Making and Problem Solving
It is very easy to remember the ID number of my ATM card which is a nine digit number and every digit is distinct. If i tell you some clues then you will be able to find it.Consider my numer as PQRSTUVWX corresponing to 1 to 9 digits though not repository .The Id is divisible by 9. if you delete the digit at its units place, the remaining 8 digit number of my ID is divisible by 8. If you again delete the last digit of the 8 digit number the remaining 7 digit number is divisible by 7 and the process goes on.
Read Solution (Total 11)
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- ID number is 381654729.
- 11 years agoHelpfull: Yes(24) No(12)
- @Pargat Pal Singh:Sir you are genius,you solved max questions of elit section.
- 11 years agoHelpfull: Yes(14) No(3)
- id is 381654729 since id is divisible by 9.if we remove 9 from 381654729 then 38165472 is divisible by 8 becoz last 3 digit 472 is divisible by 9.then 3816547 is divisible by 9 and so on..
- 11 years agoHelpfull: Yes(9) No(4)
- go through options!!!!
- 11 years agoHelpfull: Yes(9) No(0)
- @tanvi i think you are making a mistake here, you are continuously making the nos divisible by 9, but in question it is given that nos should be divisible by 9 then 8 ...7....so on!!
- 11 years agoHelpfull: Yes(3) No(1)
- kindly explain please.
- 11 years agoHelpfull: Yes(1) No(1)
- please whosoever is writing the solutions here..
please explain... - 11 years agoHelpfull: Yes(1) No(0)
- plz explain
- 11 years agoHelpfull: Yes(0) No(2)
- ID number is 123654968
- 11 years agoHelpfull: Yes(0) No(15)
- The first 5-digit no.s is 38165
And Last 5-digit no.s is 54729 .. - 3 years agoHelpfull: Yes(0) No(0)
- E=5 because multiples of 5 end in 5 or 0
Alternate digits must be even, so the rest have to be odd.
Digits C and D have to go "odd,even", and make a number which is a multiple of 4. So D has to be 2 or 6.
Ditto position H- must be 2 or 6.
The only even numbers left are 4 and 8, and these must go in B and F.
Looking at the first three digits, whose digital root must be 3,6 or 9, there are 9 options for filling these given the conditions we've already worked out.
We tried each of these in turn and worked out the digital root up to F. This also has to be 3,6 or 9 to make it divisible by 6. So you can work out in each case whether D is 2 or 6.
From this we can see what H is as one of its options has been used.
Only two digits remain- we test whether either makes a multiple of 7 when put in position G.
Finding that one of these works, check that the first 8 digits are divisible by 8.
After this only one answer remains:
381654729 - 3 years agoHelpfull: Yes(0) No(0)
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