Question 54
A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is:
Solution
For a number to be divisible by 3, the sum of it's digit should be a multiple of 3. This can be done in two ways. When the number are formed by using either {1, 2, 3, 4, 5} or {0, 1, 2, 4, 5}.
Total 5 digit numbers that can be formed by {1, 2, 3, 4, 5} without repetition = 5*4*3*2*1 = 120
Total 5 digit numbers that can be formed by {0, 1, 2, 4, 5} without repetition = 4*4*3*2*1 = 96
Therefore, total such number = 120 + 96 = 216. Hence, option D is the correct answer.
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 Miscellaneous QuestionsIIFT Number Series QuestionsIIFT Algebra QuestionsIIFT Logarithms QuestionsIIFT Time Speed Distance QuestionsIIFT Linear Equations QuestionsIIFT Time And Work QuestionsIIFT Percentages QuestionsIIFT Number Systems QuestionsIIFT Data Sufficiency QuestionsIIFT Remainders QuestionsIIFT Venn Diagrams QuestionsIIFT Probability, Combinatorics QuestionsIIFT Arithmetic QuestionsIIFT Profit and Loss QuestionsIIFT Inequalities QuestionsIIFT Simple Interest Compound Interest QuestionsIIFT Averages, Ratio and Proportion QuestionsIIFT Averages QuestionsIIFT Quadratic Equations QuestionsIIFT Functions, Graphs and Statistics QuestionsIIFT Geometry QuestionsIIFT Mensuration QuestionsIIFT Averages Mixtures Alligations QuestionsIIFT Progressions and Series QuestionsIIFT Profit And Loss QuestionsIIFT Logarithms, Surds and Indices QuestionsIIFT Coordinate Geometry QuestionsIIFT Time, Speed and Distance Questions
IIFT DILR Questions | LRDI Questions For IIFT
IIFT Venn Diagrams QuestionsIIFT Routes And Networks QuestionsIIFT Games and Tournamnents QuestionsIIFT Maxima-Minima QuestionsIIFT Data Interpretation Basics QuestionsIIFT Coins and Weights QuestionsIIFT Scheduling QuestionsIIFT 2D & 3D LR QuestionsIIFT Miscellaneous LR QuestionsIIFT Data change over a period QuestionsIIFT Selection With Condition QuestionsIIFT Special Charts QuestionsIIFT Charts QuestionsIIFT Truth Lie Concept QuestionsIIFT Quant Based DI QuestionsIIFT Arrangement QuestionsIIFT Data Interpretation QuestionsIIFT Table based DI Sets QuestionsIIFT Quant Based LR QuestionsIIFT Puzzles QuestionsIIFT DI with connected data sets QuestionsIIFT DI Miscellaneous Questions
IIFT Verbal Ability Questions | VARC Questions For IIFT
Free IIFT Quant Questions
IIFT Time And WorkIIFT Profit and LossIIFT Venn DiagramsIIFT Linear EquationsIIFT Quadratic EquationsIIFT Logarithms, Surds and IndicesIIFT Simple Interest Compound InterestIIFT PercentagesIIFT Time, Speed and DistanceIIFT MensurationIIFT LogarithmsIIFT Profit And LossIIFT Averages Mixtures AlligationsIIFT RemaindersIIFT Averages, Ratio and ProportionIIFT Coordinate GeometryIIFT AveragesIIFT MiscellaneousIIFT GeometryIIFT AlgebraIIFT Number SeriesIIFT Number SystemsIIFT Data SufficiencyIIFT InequalitiesIIFT Functions, Graphs and StatisticsIIFT Probability, CombinatoricsIIFT ArithmeticIIFT Time Speed DistanceIIFT Progressions and Series
