Question : Which of the following statement(s) is/are TRUE?
I. $33^{3}>3^{33}$
II. $333>(3^{3})^{3}$
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: Neither I nor II
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Correct Answer: Neither I nor II
Solution :
$33^{3}$ = $33^{3}$
$3^{33} =(3^{11})^3$
Since $3^{11}$ is clearly greater than $33$,
Thus, $3^{33} > 33^{3}$
So, statement I is false.
Now, $(3^3)^3 = 27^3 = (729×27)>333$
So, statement II is also false.
Hence, the correct answer is 'Neither I nor II'.
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