Join WhatsApp Icon CAT WhatsApp Group
Question 52

A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first n innings. In these n innings, his average score was 30 runs and lowest score was x runs. The smallest possible value of x is

Solution

Share

Given, $$\frac{\text{sum of scores in n matches+38+15}}{n+2}=29$$

Given, $$\frac{\text{sum of scores in n matches}}{n}=30$$

=> 30n + 53 = 29(n+2) => n=5

Sum of the scores in 5 matches = 29*7 - 38-15 = 150

Since the batsmen scored less than 38, in each of the first 5 innings. The value of x will be minimum when remaining four values are highest

=> 37+37+37+37 + x = 150

=> x = 2

Get AI Help

Video Solution

video
View More Questions From Averages, Ratio and Proportion

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 41+ CAT previous year papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Simple Interest Compound Interest QuestionsCAT Averages QuestionsCAT Time, Speed and Distance QuestionsCAT Progressions and Series QuestionsCAT Time Speed Distance Questions

CAT DILR Questions | LRDI Questions For CAT

CAT DI with connected data sets QuestionsCAT Miscellaneous LR QuestionsCAT Quant Based LR QuestionsCAT Charts QuestionsCAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension QuestionsCAT Vocabulary QuestionsCAT Critical Reasoning QuestionsCAT Odd One Out QuestionsCAT Para Summary Questions

Free CAT Quant Questions

CAT InequalitiesCAT Quadratic EquationsCAT Data SufficiencyCAT Number SeriesCAT MiscellaneousCAT Simple Interest Compound InterestCAT AveragesCAT Time Speed DistanceCAT Coordinate GeometryCAT Logarithms, Surds and IndicesCAT Time And WorkCAT LogarithmsCAT Number SystemsCAT Time, Speed and DistanceCAT Linear EquationsCAT Probability, CombinatoricsCAT RemaindersCAT ArithmeticCAT Progressions and SeriesCAT AlgebraCAT Venn DiagramsCAT Averages Mixtures AlligationsCAT Profit And LossCAT Profit and LossCAT GeometryCAT MensurationCAT Functions, Graphs and StatisticsCAT PercentagesCAT Averages, Ratio and Proportion

Related Formulas With Tests

Averages

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI