Question 56
The average of marks obtained by 120 candidates was 35. If the average of the passed candidates was 39 and that of the failed candidates was 15, then the number of those candidates who passed the examination, was
Solution
T = total students, P =passed, F = failed students
AVERAGE = SUM OF MARKS OF ALL STUDENTS/ NUMBER OF STUDENTS
A = 35 = ΣT/120
ΣT = ΣF + ΣP = 120*35 = 4200 ---(1)
and ΣP = 39*P, ΣF = 15*F [F = 120-P]
Putting values of ΣP and ΣF in equation 1, we get
4200 = 15(120-P) + 39P
4200 = 1800 - 15P + 39P
24P = 2400
P = 100 (passed students)
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 Functions, Graphs and Statistics QuestionsMAT Averages, Ratio and Proportion QuestionsMAT Arithmetic QuestionsMAT Probability, Combinatorics QuestionsMAT Coordinate Geometry QuestionsMAT Averages QuestionsMAT Time And Work QuestionsMAT Linear Equations QuestionsMAT Progressions and Series QuestionsMAT Number Series QuestionsMAT Inequalities QuestionsMAT Percentages QuestionsMAT Venn Diagrams QuestionsMAT Time Speed Distance QuestionsMAT Quadratic Equations QuestionsMAT Simple Interest Compound Interest QuestionsMAT Remainders QuestionsMAT Profit and Loss QuestionsMAT Time, Speed and Distance QuestionsMAT Geometry QuestionsMAT Data Sufficiency QuestionsMAT Miscellaneous QuestionsMAT Logarithms QuestionsMAT Logarithms, Surds and Indices QuestionsMAT Algebra QuestionsMAT Mensuration QuestionsMAT Averages Mixtures Alligations QuestionsMAT Profit And Loss QuestionsMAT Number Systems Questions
MAT DILR Questions | LRDI Questions For MAT
MAT Table based DI Sets QuestionsMAT Routes And Networks QuestionsMAT Data Interpretation Basics QuestionsMAT Games and Tournamnents QuestionsMAT Puzzles QuestionsMAT Charts QuestionsMAT Quant Based LR QuestionsMAT Selection With Condition QuestionsMAT 2D & 3D LR QuestionsMAT DI Miscellaneous QuestionsMAT Maxima-Minima QuestionsMAT Coins and Weights QuestionsMAT Venn Diagrams QuestionsMAT DI with connected data sets QuestionsMAT Scheduling QuestionsMAT Miscellaneous LR QuestionsMAT Data change over a period QuestionsMAT Special Charts QuestionsMAT Truth Lie Concept QuestionsMAT Data Interpretation QuestionsMAT Quant Based DI QuestionsMAT Arrangement Questions
MAT Verbal Ability Questions | VARC Questions For MAT
Free MAT Quant Questions
MAT MiscellaneousMAT InequalitiesMAT Averages, Ratio and ProportionMAT Probability, CombinatoricsMAT Logarithms, Surds and IndicesMAT Profit And LossMAT ArithmeticMAT Data SufficiencyMAT Averages Mixtures AlligationsMAT Time, Speed and DistanceMAT Linear EquationsMAT PercentagesMAT Time Speed DistanceMAT Number SystemsMAT AlgebraMAT Profit and LossMAT Time And WorkMAT MensurationMAT AveragesMAT Progressions and SeriesMAT LogarithmsMAT Coordinate GeometryMAT Simple Interest Compound InterestMAT RemaindersMAT Quadratic EquationsMAT GeometryMAT Functions, Graphs and StatisticsMAT Number SeriesMAT Venn Diagrams
