ExpertsGlobal5

Will the first 3 levels of a 6-level toy block tower fit upright in the storage cabinet shown above?
(1) H = 30 inches.
(2) The first four levels of the tower have an average (arithmetic mean) height of 7 inches.
Explanation: From the diagram, we see that the height of the storage cabinet is denoted by H.
We need to find whether the first 3 levels of a 6-level toy block tower will fit upright in the storage cabinet, which can also be expressed as:
We need to find whether the total height of first 3 levels of toy block tower < H. Statement (1) H = 30 inches.
Since
no information is provided regarding the height of the levels of the toy block tower, it is NOT possible to determine whether the first 3 levels of a 6-level toy block tower will fit upright in the storage cabinet.
Hence, Statement (1) is insufficient. Statement (2) The first four levels of the tower have an average height of 7 inches.
This implies that the total length of the first four levels of the tower = 4 x 7 = 28 inches.
Since
no information is provided regarding the value of H, it is NOT possible to determine whether the first 3 levels of a 6-level toy block tower will fit upright in the storage cabinet.
Hence, Statement (2) is insufficient. As both Statement (1) and Statement (2) are alone insufficient to answer the question, we need to now combine the two statements.
Statement (1) and Statement (2) combined Since the
total height of the first four levels of the tower = 28 inches
< H, it follows that the total height of the first three levels of the tower < H.
It is possible to determine that the first 3 levels of a 6-level toy block tower will fit upright in the storage cabinet.
Hence, Statement (1) and Statement (2) combined are sufficient. C is the correct answer choice.