This question is based on the data given below. Study it carefully and answer the question.
boys & 16% of the girls play only Badminton. 11 % of the boys &18% of the girls play only Table Tennis and 16% of the boys &12% of the girls play only Foot Ball. 15% of the boys & 18% of the girls play Badminton as well as Table Tennis. 17% of the boys & 14% of the girls play& Badminton as well as Foot Ball. 15% of the boys & 16% of the girls play table tennis as well as FootBall. Remaining boys & girls play all three games.
1. How many girls play at least two games ?
1.93
2.81
3.96
4.84
5.87
2. How many girls play Badminton as well as Table Tennis ?
1.23
2.30
3.36
4.32
5.45
3. How many boys do not play Foot Ball ?
1.35
2.45
3.42
4.39
5.36
4. Total how many students play Badminton ?
1.128
2.139
3.146
4.145
5.136
5. How many students play at least one of the two games Badminton & Table Tennis ?
1.216
2.199
3.202
4.196
5.208
Solution and Answers :
Solution :
Total = 250
Boys and Girls ratio = 2:3
Boys :-
Total boys = 100
Only Badminton = (19*100)/100=19
Only Table Tennis = (11*150)/100=11
Only Badminton = (16*100)/100=16
Badminton and Tennis = (15*100)/100=15
Badminton and Football = (17*100)/100=17
Table Tennis and Football = (15*100)/100=15
All 3 played boys = 100-93=7
Girls :-
Only Badminton = (16*150)/100=24
Only Table Tennis = (18*150)/100=27
Only Football = (12*150)/100=18
Badminton and Tennis = (18*150)/100=27
Badminton and Football = (14*150)/100=21
Table Tennis and Football = (16*150)/100=24
All 3 played boys = 150-141=9
Answers :-
1.Girls playing at least 2 games = 27+21+24+9=81
2. Girls playing Badminton as well as Table Tennis = 27+9=36
3.Boys not playing football = 19+11+15=45
4.Total number of students playing Badminton
Boys = 19+15+17+7=58
Girls = 24+27+21+9=81
Total =58+81=139
5. students play at least one of the two games Badminton & Table Tennis = (Total boys - only football playing boys)+(Total girls - only football playing girls)
= (100-16)+(150-18)
=84+132=216
