AP Police SI Mains 2019 Arithmetic and Reasoning

Question 83

An equilateral triangular plate is completely cut into n number of identical small equilateral triangular plates. Which one of the following can be a possible value for n

Solution

Minimum no. of identical small equilateral triangles that can be cut is 4. (1 at the top, 3 at the bottom). These 4 can be cut into 4 small triangles each.
Hence, the next value is 4*4 = 16 Hence, the number of identical small triangles that can be cut is of the form $$4^n. 256=4^4$$

C is correct choice.


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