Question 53
In a class with a certain number of students, if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1kg. If one more student weighing 50kg is added then the average weight of the class increase by 1.5 kg over the original average. What is the original average weight (in kg) of the class. ?
Solution
Let the number of students in class be n and average weight be A kgs and S be the sum of ages of all the students.
So,Β Ξ£S/n = A
Ξ£S + 50/n+1 = A + 1
Ξ£S + 50 + 50/n+2 = A + 2
Ξ£S +Β 50 + 50 + 50/n+3 = A + 3.5
On solving, the above equations, we getΒ
A = 47
Get AI Help
Create a FREE account and get:
- All Quant Formulas and Shortcuts PDF
- 100+ previous papers with solutions PDF
- Top 5000+ MBA exam Solved Questions for Free
MAT Quant Questions | MAT Quantitative Ability
MAT Averages QuestionsMAT Averages Mixtures Alligations QuestionsMAT Arithmetic QuestionsMAT Percentages QuestionsMAT Mensuration QuestionsMAT Time Speed Distance QuestionsMAT Functions, Graphs and Statistics QuestionsMAT Miscellaneous QuestionsMAT Geometry QuestionsMAT Venn Diagrams QuestionsMAT Progressions and Series QuestionsMAT Time And Work QuestionsMAT Number Series QuestionsMAT Probability, Combinatorics QuestionsMAT Algebra QuestionsMAT Simple Interest Compound Interest QuestionsMAT Time, Speed and Distance QuestionsMAT Profit and Loss QuestionsMAT Inequalities QuestionsMAT Logarithms QuestionsMAT Logarithms, Surds and Indices QuestionsMAT Number Systems QuestionsMAT Averages, Ratio and Proportion QuestionsMAT Quadratic Equations QuestionsMAT Linear Equations QuestionsMAT Coordinate Geometry QuestionsMAT Data Sufficiency QuestionsMAT Profit And Loss QuestionsMAT Remainders Questions
MAT DILR Questions | LRDI Questions For MAT
MAT Charts QuestionsMAT Quant Based DI QuestionsMAT Data change over a period QuestionsMAT Truth Lie Concept QuestionsMAT Coins and Weights QuestionsMAT Maxima-Minima QuestionsMAT Quant Based LR QuestionsMAT 2D & 3D LR QuestionsMAT Scheduling QuestionsMAT Games and Tournamnents QuestionsMAT Special Charts QuestionsMAT Puzzles QuestionsMAT DI with connected data sets QuestionsMAT DI Miscellaneous QuestionsMAT Data Interpretation QuestionsMAT Routes And Networks QuestionsMAT Selection With Condition QuestionsMAT Table based DI Sets QuestionsMAT Miscellaneous LR QuestionsMAT Venn Diagrams QuestionsMAT Data Interpretation Basics QuestionsMAT Arrangement Questions
MAT Verbal Ability Questions | VARC Questions For MAT
Free MAT Quant Questions
MAT Functions, Graphs and StatisticsMAT MensurationMAT Profit and LossMAT Venn DiagramsMAT Logarithms, Surds and IndicesMAT Averages Mixtures AlligationsMAT Time, Speed and DistanceMAT MiscellaneousMAT GeometryMAT ArithmeticMAT RemaindersMAT AlgebraMAT AveragesMAT Simple Interest Compound InterestMAT InequalitiesMAT PercentagesMAT Time And WorkMAT Data SufficiencyMAT Coordinate GeometryMAT LogarithmsMAT Linear EquationsMAT Averages, Ratio and ProportionMAT Probability, CombinatoricsMAT Progressions and SeriesMAT Time Speed DistanceMAT Profit And LossMAT Quadratic EquationsMAT Number SystemsMAT Number Series
