Analytical Problem 3

A farm is divided into four fields designated as the North Field, the East Field, the South Field, and the West Field. For the new growing season, each of the fields will be planted with exactly one of four crops—corn, beans, barley, or oats— according to the following plan:

• The West Field must be planted with either barley or beans.
• At least one field must be planted with corn.
• If, in the previous year, a field was planted with beans, then it must be planted with beans again.
• If, in the previous year, a field was planted with either wheat or alfalfa, then it must be planted with oats.

 

Question I. Which of the following could be the crops planted?

	North	East	South	West
A	beans	corn	barley	oats
B	beans	barley	oats	beans
C	wheat	barley	oats	beans
D	oats	barley	corn	beans
E	alfalfa	corn	beans	beans

Question II. If, in one year, the East Field is planted with wheat and the South Field is planted with beans, which of the following must be true of the year immediately following?

(A) The North Field is planted with barley.

(B) The North Field is planted with corn.

(C) The West Field is planted with barley.

(D) The South Field is planted with oats.

(E) The East Field is planted with beans.

Question III. In the previous growing season, the West Field could have been planted with any of the following crops EXCEPT

(A) alfalfa

(B) beans

(C) barley

(D)oats

(E) corn

Question IV. If, in the previous growing season, the West Field was planted with corn and the other three fields were planted with oats, what is the minimum number of fields that must be planted with crops that are different from those planted there for the previous growing season?

(A) None

(B) One

(C) Two

(D) Three

(E) Four

Question V. If three of the four fields were planted with beans for the previous growing season, which of the following could also have been true of the previous growing season?

(A) Barley was planted in the West Field.

(B) Corn was planted in the West Field.

(C) The fourth field was planted with oats.

(D) The fourth field was planted with wheat.

(E) The fourth field was planted with beans.

Question VI. If, for the previous growing season, the North Field was planted with oats, the East Field was planted with beans, and the South Field was planted with alfalfa, which of the following must be true of the new growing season?

(A) Corn is planted in the North Field.

(B) Oats are planted in the North Field.

(C) Barley is planted in the East Field.

(D) Barley is planted in the West Field.

(E) Beans are planted in the West Field.

Solution for GRE Math Problem 16:

This problem doesn't need much calculation. Knowing that 2468=2000+400+60+8=2x³+4x10²+6x10++8 we can say that the columns are equal


Answer:C

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