Question 6
The last two digits of the expression $$1(1!)^{1!} + 2(2!)^{2!} + 3(3!)^{3!} + .... + 121(121!)^{121!}$$
Solution
From the 5th term onwards the last two of all the terms will 00.
The last two digits of 24 to the power of an even number will be 76 always.
So, last two digits of the above expression will be the last two digits of $$1+2\left(2\right)^2+3\left(6\right)^6+4\left(76\right)$$
=1+8+139968+304= 140281
So last two digits is 81
Get AI Help
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 170+ previous papers with solutions PDF
- Top 5000+ MBA exam Solved Questions for Free
IIFT Quant Questions | IIFT Quantitative Ability
IIFT Quadratic Equations QuestionsIIFT Algebra QuestionsIIFT Averages, Ratio and Proportion QuestionsIIFT Profit And Loss QuestionsIIFT Time Speed Distance QuestionsIIFT Percentages QuestionsIIFT Arithmetic QuestionsIIFT Progressions and Series QuestionsIIFT Probability, Combinatorics QuestionsIIFT Profit and Loss QuestionsIIFT Logarithms QuestionsIIFT Simple Interest Compound Interest QuestionsIIFT Remainders QuestionsIIFT Averages QuestionsIIFT Mensuration QuestionsIIFT Coordinate Geometry QuestionsIIFT Number Series QuestionsIIFT Data Sufficiency QuestionsIIFT Number Systems QuestionsIIFT Linear Equations QuestionsIIFT Functions, Graphs and Statistics QuestionsIIFT Time And Work QuestionsIIFT Geometry QuestionsIIFT Venn Diagrams QuestionsIIFT Inequalities QuestionsIIFT Time, Speed and Distance QuestionsIIFT Averages Mixtures Alligations QuestionsIIFT Miscellaneous QuestionsIIFT Logarithms, Surds and Indices Questions
IIFT DILR Questions | LRDI Questions For IIFT
IIFT Quant Based LR QuestionsIIFT Data Interpretation QuestionsIIFT Table based DI Sets QuestionsIIFT DI Miscellaneous QuestionsIIFT Venn Diagrams QuestionsIIFT Coins and Weights QuestionsIIFT Miscellaneous LR QuestionsIIFT Special Charts QuestionsIIFT Maxima-Minima QuestionsIIFT 2D & 3D LR QuestionsIIFT Quant Based DI QuestionsIIFT Selection With Condition QuestionsIIFT Data change over a period QuestionsIIFT Data Interpretation Basics QuestionsIIFT Puzzles QuestionsIIFT Truth Lie Concept QuestionsIIFT Arrangement QuestionsIIFT Scheduling QuestionsIIFT Games and Tournamnents QuestionsIIFT Charts QuestionsIIFT Routes And Networks QuestionsIIFT DI with connected data sets Questions
IIFT Verbal Ability Questions | VARC Questions For IIFT
Free IIFT Quant Questions
IIFT Logarithms, Surds and IndicesIIFT Time, Speed and DistanceIIFT ArithmeticIIFT Number SystemsIIFT PercentagesIIFT Time And WorkIIFT MiscellaneousIIFT InequalitiesIIFT LogarithmsIIFT Data SufficiencyIIFT AveragesIIFT Averages, Ratio and ProportionIIFT Time Speed DistanceIIFT Quadratic EquationsIIFT Progressions and SeriesIIFT Simple Interest Compound InterestIIFT Venn DiagramsIIFT AlgebraIIFT RemaindersIIFT Number SeriesIIFT Profit and LossIIFT GeometryIIFT Linear EquationsIIFT Averages Mixtures AlligationsIIFT Probability, CombinatoricsIIFT Functions, Graphs and StatisticsIIFT Coordinate GeometryIIFT MensurationIIFT Profit And Loss
Book Free CAT Mentorship
Get personalized CAT strategy from a 99%iler
500+ students mentored
OTP Verification
Enter the 6-digit code sent to your phone
Booking Summary
Session:Free CAT Mentorship
Phone:
Date:
Time:
Enter OTP
Didn't receive the OTP?
