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# Logical Reasoning :: Flow Chart - Discussion

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## In the following problems, you are told something about the result, and you must determine what the contents of the boxes must have been, in order to obtain that result. In these problems, the expression (number in box X) is abbreviated as (X). For example: "Is (4) greater than (7)?" means "Is (number in box 4) greater than (number in box 7)?" In each of the following problems, no two boxes contain the same number. Which of the boxes 1, 2, 3 CANNOT POSSIBLY contain the largest number, the smallest number?

ABOX 2, BOX 3

BBOX 1, BOX 3

CBOX 2, BOX 1

DNone of these

Show Explanation

Given Box 4 = EITHER B or E

Also, (1) means number in Box 1.

For B,

IS (3) > (1) ? NO --(1)

IS (2) > (1) ? NO --(2)

IS (3) > (2) ? YES --(3)

Here, (2) has the smallest and (1) has the largest number of the three.

For E,

IS (3) > (1) ? YES --(4)

IS (2) > (1) ? YES --(5)

IS (3) > (2) ? NO --(6)

Here, (2) has the largest and (1) has the smallest number of the three.

Therefore Option (D)None of these.

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