Consider the following statements,

• I. N^3/2 < NlogN < N^logN < 2^N
• II. (logN)² = log²N
• III. logN * logN = log log N
• IV. N^21/30 < N³ < e^N < 4^N

Which of the above statements are not True?
(A) I, II and III
(B) II, III and IV
(C) I and III
(D) All are correct.


Answer: (C)

Explanation:

• I. NlogN < N^3/2 < N^logN < 2^N
• II. (logN)² = log²N
• III. logN * logN = log²N
• IV. N^21/30 < N³ < e^N < 4^N

Therefore, only statement I and III are False.

So, option (C) is correct.

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