Question 4

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

Share

$$(A)$$: $$3^{3^{3^{3}}}$$ = $$3^{3^{27}}$$

$$(B)$$: $$3^{(33)^{3}}$$ = $$3^{(33)^{3}}$$

$$(C)$$: $$(3^3)^{33}$$ = $$3^{99}$$

$$(D)$$: $$3^{333}$$

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 $$(A)$$

View More Questions From Temporary CMAT Quant

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 Averages, Ratio and Proportion QuestionsCMAT Venn Diagrams QuestionsCMAT Number Systems QuestionsCMAT Geometry QuestionsCMAT Data Sufficiency Questions

CMAT DILR Questions | LRDI Questions For CMAT

CMAT Data Interpretation QuestionsCMAT Arrangement QuestionsCMAT Data Interpretation Basics QuestionsCMAT Set Theory QuestionsCMAT Logical Reasoning Questions

CMAT Verbal Ability Questions | VARC Questions For CMAT

CMAT Grammar and Sentence Correction QuestionsCMAT Para Jumbles QuestionsCMAT Vocabulary QuestionsCMAT Critical Reasoning QuestionsCMAT Reading Comprehension Questions

Free CMAT Topicwise Questions

CMAT GeometryCMAT SportsCMAT Data InterpretationCMAT People and AwardsCMAT Logical ReasoningCMAT PGDBA CalculusCMAT Reading ComprehensionCMAT BusinessCMAT Books and MoviesCMAT Time, Speed and DistanceCMAT Politics and GovernanceCMAT ChartsCMAT AbbreviationsCMAT HistoryCMAT Profit and LossCMAT Economic and Social IssuesCMAT International GKCMAT ArrangementCMAT Logarithms, Surds and IndicesCMAT CultureCMAT BiologyCMAT Science and TechnologyCMAT Current AffairsCMAT Linear EquationsCMAT Quadratic EquationsCMAT Banking Computer KnowledgeCMAT Capitals and CurrenciesCMAT Set TheoryCMAT Indian National Static GKCMAT Venn DiagramsCMAT GeographyCMAT Important OrganizationsCMAT EconomicsCMAT Grammar and Sentence CorrectionCMAT Probability, CombinatoricsCMAT Banking AwarenessCMAT Innovation and EntrepreneurshipCMAT Functions, Graphs and StatisticsCMAT Railways AwarenessCMAT Progressions and SeriesCMAT Data SufficiencyCMAT Data Interpretation BasicsCMAT Para JumblesCMAT VocabularyCMAT InequalitiesCMAT Averages, Ratio and ProportionCMAT Old Current AffairsCMAT GKCMAT PhysicsCMAT Critical ReasoningCMAT ChemistryCMAT Number Systems