Which of the following is true?

$\pi^{\pi^{\pi}} < e^{e^e} < 3^{3^3} \\$

$\pi^{\pi^{\pi}} < 3^{3^3} < e^{e^e} \\$

$3^{3^3} < e^{e^e} < \pi^{\pi^{\pi}} \\$

$e^{e^e} < 3^{3^3} < \pi^{\pi^{\pi}}$

Solution

Correct option is D

$\textbf{Given:} \\\text{We need to compare } \pi^{\pi},\ e^{e},\ \text{and } 3^{3}. \\[6pt]\textbf{Solution:} \\[4pt]e^{e} = 2.7183^{2.7183} \approx 15.15 \\[4pt]3^{3} = 27 \\[4pt]\pi^{\pi} = 3.1416^{3.1416} \approx 36.46 \\[6pt]\text{Thus, we have } e^{e} < 3^{3} < \pi^{\pi}. \\[10pt]\boxed{\text{Correct Answer: (D) } e^{e} < 3^{3} < \pi^{\pi}}$

Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

60000+ Mocks and Previous Year Papers
Unlimited Re-Attempts
Personalised Report Card
500% Refund on Final Selection
Largest Community

BUY NOW

516k+ students have already unlocked exclusive benefits with Test Prime!

Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

60000+ Mocks and Previous Year Papers
Unlimited Re-Attempts
Personalised Report Card
500% Refund on Final Selection
Largest Community

BUY NOW

516k+ students have already unlocked exclusive benefits with Test Prime!

Which of the following is true?

$\pi^{\pi^{\pi}} < e^{e^e} < 3^{3^3} \\$

$\pi^{\pi^{\pi}} < 3^{3^3} < e^{e^e} \\$

$3^{3^3} < e^{e^e} < \pi^{\pi^{\pi}} \\$

$e^{e^e} < 3^{3^3} < \pi^{\pi^{\pi}}$

Correct option is D

Similar Questions

Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

Similar Questions

Which of the following is true?

​πππ<eee<333\pi^{\pi^{\pi}} < e^{e^e} < 3^{3^3} \\πππ<eee<333​​

​πππ<333<eee\pi^{\pi^{\pi}} < 3^{3^3} < e^{e^e} \\πππ<333<eee​​

​333<eee<πππ3^{3^3} < e^{e^e} < \pi^{\pi^{\pi}} \\333<eee<πππ​​

​eee<333<πππe^{e^e} < 3^{3^3} < \pi^{\pi^{\pi}}eee<333<πππ​​

Correct option is D

Similar Questions

Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

Similar Questions

$\pi^{\pi^{\pi}} < e^{e^e} < 3^{3^3} \\$

$\pi^{\pi^{\pi}} < 3^{3^3} < e^{e^e} \\$

$3^{3^3} < e^{e^e} < \pi^{\pi^{\pi}} \\$

$e^{e^e} < 3^{3^3} < \pi^{\pi^{\pi}}$