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imc

prealgebra intermediate

Problem

A grocer stacks oranges in a pyramid-like stack whose rectangular base is oranges by oranges. Each orange above the first level rests in a pocket formed by four oranges below. The stack is completed by a single row of oranges. How many oranges are in the stack?
(A)
(B)
(C)
(D)
Solution
There are oranges on the layer of the stack. The layer that is added on top of the first will be a layer of oranges. When the third layer is added on top of the , it will be a layer of oranges, etc. Therefore, there are oranges in the stack.
Final answer
C