# Quantitative Aptitude: Data Interpretation Questions – Set 76

Questions (1-5). Read the following information carefully and answer the questions given below:

In a college, there are 200 students studying in two departments: Arts and Science. Each students from each department participate in one or more programs in cultural ( i.e Dance, Singing and Poem writing). 45% of the students belong to Arts and the remaining students belong to Science.
Out of the students in Arts, Girls and Boys are in the ratio of 5:4. Out of the Girls in Arts, 16% participate only in Dance, 10% participate only in Singing and 4% participate only in Poem writing. 24% participate in Dance as well as Singing, 20% participate in Dance as well as Poem writing and 14% participate in Singing as well as Poem writing. The remaining Girls participate in all the three programs. Out of the Boys in Arts, 20% participate only in Dance, 10% participate only in Singing and 10% participate only in Poem writing. 20% participate in Dance as well as Singing, 20% participate in Dance as well as Poem writing and 10% participate in Singing as well as Poem writing. The remaining Boys participate in all the three programs.
Out of the students in Science, Girls and Boys are in the ratio of 5:6. Out of the Girls in Science, 20% participate only in Dance, 16% participate only in Singing and 4% participate only in Poem writing. 18% participate in Dance as well as Singing, 24% participate in Dance as well as Poem writing and 10% participate in Singing as well as Poem writing. The remaining Girls participate in all the three programs. Out of the Boys in Science, 15% participate only in Dance, 15% participate only in Singing and 5% participate only in Poem writing. 20% participate in Dance as well as Singing, 20% participate in Dance as well as Poem writing and 15% participate in Singing as well as Poem writing. The remaining Boys participate in all the three programs.

1. How many students studying in arts participate only either in Dance or in Singing?
A) 32
B) 25
C) 22
D) 34
E) None
Option B
Solution:

Total no of students = 200
Arts dept students 100    200
.                                   45          90students
Girls and Boys are in the ratio 5:4
Total 90. So
5 == 50Girls
4 == 0Boys
Science dept students 100 200
.                                        55      110students.
Girls and Boys are in the ratio 5:6
Total = 11  == 110. So
5 == 50Girls
6 == 60Boys
Arts
Only Dance Girl 8 Boy 8
Only Singing Girl 5 Boy 4
Only poem writing Girl 2 Boy 4
Dance and Singing Girl 12 Boy 8
Dance and Poem writing Girl 10 Boy 8
Singing and Poem writing Girl 7 Boy 4
All three Girl 6 Boy 4
Science
Only Dance Girl 10 Boy 9
Only Singing Girl 8 Boy 9
Only poem writing Girl 2 Boy 3
Dance and Singing Girl 9 Boy 12
Dance and Poem writing Girl 5 Boy 9
Singing and Poem writing Girl 12 Boy 12
All three Girl 4 Boy 6
Students studying in Arts participate only in singing= 5 + 4 = 9
Students studying in Arts participate only in dance= 8 + 8 = 16
students studying in arts participate only either in Dance or in Singing=16+9 =25
2. How many students of the college participate in all three programs?
A) 18
B) 15
C) 20
D) 24
E) None
Option C
Solution:

students of the college participate in all three programs = 10 + 10 = 20
3. What percent of the total no. of Boys in the college do not participate in Singing?
A) 44%
B) 52%
C) 35%
D) 40%
E) None
Option A
Solution:

Total no. of Boys in the college = 100 (40+60)
Number of Boys who do not participate in Singing = 8 + 4 + 8 + 9 + 3 + 12 =44
Required percentage = 44/100 × 100 = 44%
4. In Science department, students who participate in Poem writing is approximately what percentage of students in science department who do not participate in Poem writing?
A) 88%
B) 92%
C) 85%
D) 93%
E) None
Option D
Solution:

students who participate in Poem writing = 2 + 3 + 5 + 9 + 12 + 12 + 4 + 6 = 53
students who do not participate in Poem writing = 10 + 9 + 8 + 9 + 9 + 12 = 57
Required percentage = 53/57 × 100 = 92.9 =93% (approx)
5. Out of the students in science depatrment, what is the ratio of the number of Girls participate in Dance to the number of Boys participate in Singing?
A) 36:35
B) 25:32
C) 35:36
D) 32:25
E) None
Option C
Solution:

In Science dept,
Number of Girls participate in Dance = 10 + 9 + 12 + 4 = 35
Number of Boys participate in Singing = 9 + 12 + 9 + 6 = 36
Thus, the required ratio is 35: 36

Questions (6-10): Line chart shows the number of person watched movies in Two different theatre A and B on different days.

1. The number of people who watched Movie in Theatre B on next monday is 20% more than the people who watched Movie in the same theatre on same day. What is the respective ratio between the number of people who watched movie on next monday and those who watched movie on Friday in the same theatre?
A) 5:14
B) 14 :5
C) 12:7
D) 7:12
E) None
Option B
Solution:

20% of 280 =56
Then on next Monday the number of people who watched Movie is 280+56=336
Required ratio 336 : 120= 14 :5
2. What is the difference between the total number of people who watched Movie in Theatre B on Saturday and Sunday together and the total number of people who watched Movie in Theatre A on Saturday and Sunday together?
A) 80
B) 85
C) 90
D) 92
E) None
Option C
Solution:

Theatre A on sat and sun 420+450=870
Theatre B on sat and sun 380+400=780
Difference=870-780=90.
3. What is the average number of people who watched Movie in Theatre B on Monday, Tuesday, Wednesday and Thursday?
A) 180
B) 220
C) 190
D) 230
E) None
Option B
Solution:

number of people who are watching Movie in Theatre B on Monday, Tuesday, Wednesday and Thursday=280+200+150+250=880
880/4=220.
4. The number of people who watched Movie in Theatre A decreased by what percent from Saturday to Wednesday?
A) 57.14%
B) 49%
C) 52.5%
D) 56%
E) None
Option A
Solution:

420 100
(420-180) 240 ? ===>57.14%
5. The total number of people who watched movies on Monday in both the theatre is approximately what percent more than the total number of people who watched movies on thursday in both the theatre?
A) 110.5%
B) 95%
C) 120%
D) 133.3%
E) None
Option C
Solution:

(200+250) 450 100
(320+280)600 ?==> 400/3=133.3%

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