Apply logic part 3

Level pending

LET,

1 = 5

2 = 25

3 = 125

4 = 625

5 = ?


The answer is 1.

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3 solutions

Personally, there are three possible solutions depending on what you emphasize.

The three solutions are:

(A) 5 = 1;

You emphasize the equals sign symbols ( = ). You ignore the given pattern and the digit symbols function.

(B) 5 = 3125;

You emphasize the given pattern. You ignore the equals sign function.

(C) 5 = 5;

You emphasize the digit symbols ( 0,1,2,... ). You ignore the given information.

To me, solution (B), which is 5 = 3125, is the most preferable. The reasons are:

(i) in the solution (C), if you ignore the given information because it contradicts the general facts, you may get in trouble with problems like "Is it valid for the expression 'if rocks are animals and all animals are red, therefore, rocks are red'?".

(ii) in the solution (A), there is no reason to emphasize one symbol over the other symbols. Especially for the important symbols like digit symbols. If you say that it's because this question allows to use digit symbols in a special way, so why do you accept that part but ignore the another part - that is the pattern of the number increasing part.

(iii) in the solution (B), there are reasons to ignore some facts for the logic problem, as I mentioned in the first reason. Moreover, the equals sign also functions differently when it appears in other fields, such as in computer programming. So, there is reasonable to ignore some properties of equals sign and emphasize to the core that is the pattern of the problem.

Taran Kota
May 16, 2015

It may seem confusing when this happens, but in reality, you don't take 5^5, think that if 1=5, then 5 should equal 1.

Krishna Shankar
Apr 17, 2015

don't think logically .. if 1=5 then 5=1

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