I31-50

Question

A company is assigning 6 interns, Anya, Bram, Clara, Daria, Elise, and Felix, to 3 orientation groups based on age. The 2 oldest interns will be assigned to Group 1, the 2 youngest interns will be assigned to Group 3, and the remaining 2 interns will be assigned to Group 2. No two interns are the same age. Exactly 3 of the interns are siblings.
 
The following information is known:
 
• Bram is older than Daria.
 
• Daria is older than each of the 3 siblings.
 
• Elise is not one of the siblings.
 
Select for  Group 2 but not Group 3  an intern who could be in Group 2 but could not be in Group 3, and select for  Any Group  an intern who could be in any one of the 3 groups. Make only two selections, one in each column.

Bunuel · Answer

Official Solution:

Daria is older than each of the 3 siblings, so Daria is not one of the siblings.
 
Bram is older than Daria, so Bram also cannot be one of the siblings, because all 3 siblings are younger than Daria.
 
Elise is not one of the siblings.
 
 Therefore, the 3 siblings must be Anya, Clara, and Felix. 
 
 So the age relationships are: 
 
Bram > Daria > Anya
 
Bram > Daria > Clara
 
Bram > Daria > Felix
 
Daria is older than Anya, Clara, and Felix. Therefore, at least 3 interns are younger than Daria. Since Group 3 contains only the 2 youngest interns,  Daria cannot be in Group 3 .
 
 Daria can be in Group 2. For example: 
 
 Bram  >  Elise  >    Daria    >  Anya  >  Clara  >  Felix 
 
So   Daria could be in Group 2 but could not be in Group 3  .
 
Now consider Elise. Elise has no fixed age relationship with any other intern, so Elise can be placed in any group.
 
 Elise in Group 1: 
 
   Elise    >  Bram  >  Daria  >  Anya  >  Clara  >  Felix 
 
 Elise in Group 2: 
 
 Bram  >  Daria  >    Elise    >  Anya  >  Clara  >  Felix 
 
 Elise in Group 3: 
 
 Bram  >  Daria  >  Anya  >  Clara  >  Felix  >    Elise   
 
So   Elise could be in any one of the 3 groups  .
 
 Why the other choices do not work: 
 
Bram must be older than Daria and the 3 siblings, so  Bram cannot be in Group 2 or Group 3 .
 
Anya, Clara, and Felix each have at least Bram and Daria older than them, so  none of them can be in Group 1 . Therefore,  none of them fits  Any Group  .
 
Also, each of Anya, Clara, and Felix could be in Group 3, so  none of them fits  Group 2 but not Group 3  .

Correct answer:

Group 2 but not Group 3  "Daria"

Any Group  "Elise"

I31-50

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My Rewards

Group 2 but not Group 3	Any Group
		Anya
		Bram
		Clara
		Daria
		Elise
		Felix