Data Analysis For SBI PO 2016

This question is based on the data given below. Study it carefully and answer the question.

In a school out of 250 students studying in class IX, boys & girls are in the ratio of 2 : 3 respectively. Each student likes to play one or more of the games Badminton Table Tennis & Foot Ball. 19% of the 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 ?

2. How many girls play Badminton as well as Table Tennis ?

3. How many boys do not play Foot Ball ?

4. Total how many students play Badminton ?

5. How many students play at least one of the two games Badminton & Table Tennis ?

Solution and Answers :

Solution :

Total = 250

Boys and Girls ratio = 2:3

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

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