Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

[Gmat_mission]

Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

(1) \(x = 50 \text{cm}.\)
(2) Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests

[Brent@GMATPrepNow]

Bookrack.PNG

Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

(1) \(x = 50 \text{cm}.\)
(2) Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests

Target question: Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

Statement 1: x = 50 centimeters.
We have no idea how THICK the first 10 volumes are.
They COULD each be 1 mm thick, in which case the 10 volumes will easily fit in the 50 cm rack
Or they COULD each be 1 km thick, in which case the 10 volumes will NOT fit in the 50 cm rack
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.
We have no idea how wide the book rack is.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
We have no info about the thickness of the 10 volumes to be placed in the rack.
Consider these two possible cases:

Case a: Each of the 12 volumes noted above in statement 2 are 5 cm thick. Two of those 5-cm-thick volumes are added to eight volumes that are each 1 mm thick. In this case, the 10 volumes will easily fit in the 50 cm rack
Case b: Each of the 12 volumes noted above in statement 2 are 5 cm thick. Two of those 5-cm-thick volumes are added to eight volumes that are each 1 km thick. In this case, the 10 volumes will NOT fit in the 50 cm rack

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent