Five adult acrobats - M, N, O, P and Q- and five child acrobats V, W, X, Y and Z - form a human pyramid with four levels as follows :

There are four of the acrobats on the lowest or first level ; three on the next higher or second level ; two on the level above that, the third; and one on the highest or fourth level. Except for the acrobats on the first level, who stand on the floor, each acrobat stands on the shoulders of two adjacent acrobats on the next lower level.

Whenever any acrobat falls, the acrobats who are standing on either of that acrobat’s shoulders must also fall. Child acrobats cannot be in the first level of the pyramid, nor can they occupy any position that requires the use of more than one shoulder to support other acrobats.

8. If X stands on V’s shoulder, and M and W stand side by side on the same level as one another, which of the following is possible arrangement for the second level ?

   (A) X, M, W
   (B) Y, O, V
   (C) V, M, W
   (D) Y, N, Z
   (E) V, W, M
   

9. If V and W stand on different levels and X and Z stand on the same level, which of the following is a complete and accurate list of the levels on which Y could possibly stand ?

   (A) Fourth
   (B) Second
   (C) Third
   (D) Third, Fourth
   (E) Second, Third

   
   

10. If W stands on V’s shoulder, and V stands on M’s shoulder, which of the following CANNOT be true ?

    (A) W and X stand side by side on the same level.
    (B) M stands on the same level as N and P and is the only acrobat between them.
    (C) N and V stand side by side on the same level.
    (D) X and Y stand side by side on the same level.
    (E) M stands on the same level as Y and Z and is the only acrobat between them.

Part 1 To The Student