Master

26-02-2011, 05:31 PM

What four digit number has digit 1 three less than digit 4 which is one more than digit 2 which is twice digit 3 which is not a prime number and is one more than 1/3 of digit 4?

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Master

26-02-2011, 05:31 PM

What four digit number has digit 1 three less than digit 4 which is one more than digit 2 which is twice digit 3 which is not a prime number and is one more than 1/3 of digit 4?

Master

26-02-2011, 05:38 PM

Please give answer with explaination.

Sumant

26-02-2011, 05:39 PM

My Answer 0213Going from left to right.

Lets consider 4th digit to be x.

now digit 1 is three less than digit 4 ... x-3

which is (digit 4) is 1 more than digit 2. so digit 2 is..x-1

which is (digit 2) is twice than digit 3... so digit 3 is .. (x-1)/2

also digit 3 is 1 more than 1/3 of digit 4 .. so x/3 +1

so digit 3 are :

x/3 + 1 = (x-1)/2--------******

2x/3 + 2= x-1

x=2x/3 + 1

3x=2x + 3

x=3

and digit are 0213

Lets consider 4th digit to be x.

now digit 1 is three less than digit 4 ... x-3

which is (digit 4) is 1 more than digit 2. so digit 2 is..x-1

which is (digit 2) is twice than digit 3... so digit 3 is .. (x-1)/2

also digit 3 is 1 more than 1/3 of digit 4 .. so x/3 +1

so digit 3 are :

x/3 + 1 = (x-1)/2--------******

2x/3 + 2= x-1

x=2x/3 + 1

3x=2x + 3

x=3

and digit are 0213

Master

26-02-2011, 05:41 PM

miscalculation :EmoticonTongue:

2x/3 + 2= x-1

x=2x/3 + 1 <==

should be

x=2x/3+3

x=9

2x/3 + 2= x-1

x=2x/3 + 1 <==

should be

x=2x/3+3

x=9

Sumant

26-02-2011, 05:43 PM

miscalculation :EmoticonTongue:

2x/3 + 2= x-1

x=2x/3 + 1 <==

should be

x=2x/3+3

x=9

Good catch MASTER ! :EmoticonCrying:

2x/3 + 2= x-1

x=2x/3 + 1 <==

should be

x=2x/3+3

x=9

Good catch MASTER ! :EmoticonCrying:

tigershark

26-02-2011, 06:31 PM

6849

Digit 2 is twice of digit 3

2- 2468

3- 1234

digit 4 is one more than digit 2

2- 2468

3- 1234

4- 3579

digit 1 is 3 less than digit 4

1- 0246

2- 2468

3- 1234

4- 3579

so four possible solutions uptill now are 0213, 2425, 4637, 6849

digit 3 is not a prime number and is 1 more than 1/3 of digit 4

hence it is 6849

1- 0248

2- 2468

3- 1234

4- 3579

Digit 2 is twice of digit 3

2- 2468

3- 1234

digit 4 is one more than digit 2

2- 2468

3- 1234

4- 3579

digit 1 is 3 less than digit 4

1- 0246

2- 2468

3- 1234

4- 3579

so four possible solutions uptill now are 0213, 2425, 4637, 6849

digit 3 is not a prime number and is 1 more than 1/3 of digit 4

hence it is 6849

1- 0248

2- 2468

3- 1234

4- 3579

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