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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