Arrange the following in descending order
(A) $$3^{3^{3^{3}}}$$
(B) $$3^{(33)^{3}}$$
(C) $$(3^3)^{33}$$
(D) $$3^{333}$$
Choose the correct answer from the options given below :
Solution
$$(A)$$: $$3^{3^{3^{3}}}$$ = $$3^{3^{27}}$$
$$(B)$$: $$3^{(33)^{3}}$$ = $$3^{(33)^{3}}$$
$$(C)$$: $$(3^3)^{33}$$ = $$3^{99}$$
$$(D)$$: $$3^{333}$$
So, the powers of 3 in (A), (B), (C) and (D) are: $$3^{27},33^3,99,333$$ respectively.
Now, we know, $$3^{27}>33^3>333>99$$
So, the powers of $$3$$ in $$(A)>(B)>(D)>(C)$$
So, correct answer is option $$(A)$$
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with detau solutions PDF
- Top 500 MBA exam Solved Questions for Free
CMAT Quant Questions | CMAT Quantitative Ability
CMAT DILR Questions | LRDI Questions For CMAT
CMAT Verbal Ability Questions | VARC Questions For CMAT
Free CMAT Topicwise Questions
CMAT Data Interpretation Basics
CMAT Grammar and Sentence Correction
CMAT Probability, Combinatorics
CMAT Indian National Static GK
CMAT Averages, Ratio and Proportion
CMAT Economic and Social Issues
CMAT Logarithms, Surds and Indices
CMAT Banking Computer Knowledge
CMAT Innovation and Entrepreneurship