Join WhatsApp Icon CAT WhatsApp Group
Question 90

The smallest integer n for which $$4^{n} > 17^{19}$$ holds, is closest to

Solution

Share

$$4^{n} > 17^{19}$$

$$\Rightarrow$$ $$16^{n/2} > 17^{19}$$

Therefore, we can say that n/2 > 19

n > 38

Hence, option D is the correct answer. 

Get AI Help

Video Solution

video
View More Questions From Number Systems

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 41+ CAT previous year papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Miscellaneous QuestionsCAT Probability, Combinatorics QuestionsCAT Algebra QuestionsCAT Mensuration QuestionsCAT Linear Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournaments QuestionsCAT Charts QuestionsCAT Data change over a period QuestionsCAT Routes And Networks QuestionsCAT Arrangement Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability QuestionsCAT Odd One Out QuestionsCAT Para Jumbles QuestionsCAT Vocabulary QuestionsCAT Para Summary Questions

Free CAT Quant Questions

CAT PercentagesCAT Simple Interest Compound InterestCAT Time Speed DistanceCAT Averages, Ratio and ProportionCAT AlgebraCAT Averages Mixtures AlligationsCAT Linear EquationsCAT GeometryCAT Number SeriesCAT AveragesCAT Time, Speed and DistanceCAT RemaindersCAT Probability, CombinatoricsCAT Data SufficiencyCAT Profit and LossCAT Coordinate GeometryCAT Venn DiagramsCAT Number SystemsCAT Profit And LossCAT Quadratic EquationsCAT Functions, Graphs and StatisticsCAT Progressions and SeriesCAT LogarithmsCAT InequalitiesCAT Time And WorkCAT Logarithms, Surds and IndicesCAT MensurationCAT MiscellaneousCAT Arithmetic

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now
Ask AI