Alden, Brent, Craig and David applied for a job that required the applicant:

- to be a high school graduate.
- to have at least two years of previous work.
- to be a veteran.
- to have satisfactory references.

One of them, who met more of the requirements than any of the others, was hired.

1) Each of the six possible pairs of requirements was met by exactly one man.
2) Alden and Brent are high school graduate.
3) Craig and David have at least two years of previous work.
4) Brent and Craig were both veterans.
5) David had satisfactory references.

Who was hired?

The possible 6 pairs of requirements are: H.S & Exp, H.S & Vet, H.S & Ref, Exp & Vet, Exp & Ref and Vet & Ref.

After filling the table with the given statements, it looks like:

 

      H.S    Exp    Vet    Ref

A    ��

B    ��                   ��

C               ��        ��

D               ��                  ��

 

After canceling the 3 pairs given, the pairs that are left are H.S & Exp, H.S & Ref and Vet & Ref.

Now, filling the table for these pairs:<o:p></o:p>

Vet & Ref:<o:p></o:p>

<o:p> </o:p>

If placed this for A, then H.S. and Vet will be common to both A & B. this is a contradiction.

If placed this for B, there is no contradiction so there is a chance.

If placed this for C, then Exp and Ref will be common to both C & D. this is a contradiction.

If placed this for D, then Exp and Vet will be common to both C & D. this is a contradiction.

So, the table after filling the pair Vet & Ref is: 

     H.S    Exp    Vet    Ref

A    ��

B    ��                   ��       ��

C               ��        ��

D               ��                  ��

After filling the table one more pair H.S and Ref is also satisfied.

The only pair now left is H.S & Exp.

<o:p> </o:p>

If placed this for A, there is no contradiction so there is a chance.

If placed this for B, then Exp and Vet will be common to both B & C. this is a contradiction.

If placed this for C, then H.S and Vet will be common to both B & C. this is a contradiction.

If placed this for D, then H.S and Ref will be common to both B & D. this is a contradiction.

<o:p> </o:p>

So, the table after filling the pair H.S & Exp is:

     H.S    Exp    Vet    Ref

A    ��       ��

B    ��                   ��       ��

C               ��        ��

D               ��                  ��

From the final table it is obvious the person going to be selected is B (Brent).

 

Posted by surya on 2005-12-21 04:52:03