Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 83
A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is
Solution
Assume the number of members who can play exactly 1 game = I
The number of members who can play exactly 1 game = II
The number of members who can play exactly 1 game = III
I+2II+3III=144+123+132=399....(1)
I+II+III=256......(2)
=> II+2III=143.....(3)
Also, II+3III=58+25+63=146 ......(4)
=> III = 3 (From 3 and 4)
=> II =137
=> I = 116
The members who play only tennis = 123-58-25+3 = 43
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 38+ 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 Time Speed Distance QuestionsCAT Logarithms, Surds and Indices QuestionsCAT Averages Mixtures Alligations QuestionsCAT Simple Interest Compound Interest QuestionsCAT Averages, Ratio and Proportion Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Data Interpretation Basics QuestionsCAT Maxima-Minima QuestionsCAT Routes And Networks QuestionsCAT Puzzles QuestionsCAT Arrangement Questions
