Question 23
In a Green view apartment, the houses of a row are numbered consecutively from 1 to 49. Assuming that there is a value of ‘x’ such that the sum of the numbers of the houses preceding the house numbered ‘x’ is equal to the sum of the numbers of the houses following it. Then what will be the value of ‘x’?
Solution
It is given that sum of the first $$(x - 1)$$ numbers is equal to sum of the numbers from $$(x + 1)$$ to 49
or, sum of $$(x - 1)$$ numbers = sum of first 49 numbers - sum of first $$x$$ numbers
$$\dfrac{x(x - 1)}{2} = \dfrac{49 * 50}{2} - \dfrac{x(x + 1)}{2}$$
On solving, we get $$x$$ = 35
Hence, option C 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 Inequalities QuestionsIIFT Algebra QuestionsIIFT Profit And Loss QuestionsIIFT Averages Mixtures Alligations QuestionsIIFT Coordinate Geometry QuestionsIIFT Averages QuestionsIIFT Simple Interest Compound Interest QuestionsIIFT Probability, Combinatorics QuestionsIIFT Remainders QuestionsIIFT Logarithms, Surds and Indices QuestionsIIFT Logarithms QuestionsIIFT Progressions and Series QuestionsIIFT Geometry QuestionsIIFT Time, Speed and Distance QuestionsIIFT Mensuration QuestionsIIFT Data Sufficiency QuestionsIIFT Miscellaneous QuestionsIIFT Number Systems QuestionsIIFT Time Speed Distance QuestionsIIFT Linear Equations QuestionsIIFT Percentages QuestionsIIFT Profit and Loss QuestionsIIFT Arithmetic QuestionsIIFT Time And Work QuestionsIIFT Venn Diagrams QuestionsIIFT Averages, Ratio and Proportion QuestionsIIFT Functions, Graphs and Statistics QuestionsIIFT Quadratic Equations QuestionsIIFT Number Series Questions
IIFT DILR Questions | LRDI Questions For IIFT
IIFT Games and Tournamnents QuestionsIIFT DI with connected data sets QuestionsIIFT Truth Lie Concept QuestionsIIFT Routes And Networks QuestionsIIFT Venn Diagrams QuestionsIIFT Data Interpretation Basics QuestionsIIFT Maxima-Minima QuestionsIIFT Selection With Condition QuestionsIIFT Charts QuestionsIIFT Data Interpretation QuestionsIIFT Quant Based DI QuestionsIIFT 2D & 3D LR QuestionsIIFT Puzzles QuestionsIIFT Data change over a period QuestionsIIFT DI Miscellaneous QuestionsIIFT Coins and Weights QuestionsIIFT Quant Based LR QuestionsIIFT Scheduling QuestionsIIFT Table based DI Sets QuestionsIIFT Arrangement QuestionsIIFT Special Charts QuestionsIIFT Miscellaneous LR Questions
IIFT Verbal Ability Questions | VARC Questions For IIFT
Free IIFT Quant Questions
IIFT LogarithmsIIFT Time Speed DistanceIIFT Number SystemsIIFT Profit and LossIIFT Averages, Ratio and ProportionIIFT Simple Interest Compound InterestIIFT AlgebraIIFT MensurationIIFT MiscellaneousIIFT Time, Speed and DistanceIIFT Linear EquationsIIFT Logarithms, Surds and IndicesIIFT Progressions and SeriesIIFT Averages Mixtures AlligationsIIFT Profit And LossIIFT ArithmeticIIFT PercentagesIIFT Probability, CombinatoricsIIFT Number SeriesIIFT Venn DiagramsIIFT InequalitiesIIFT Time And WorkIIFT Quadratic EquationsIIFT Coordinate GeometryIIFT GeometryIIFT Data SufficiencyIIFT RemaindersIIFT Functions, Graphs and StatisticsIIFT Averages
