Data
Interpretation Practice Questions – Set 94
Directions
(1 – 5): Read the following table carefully and answer the related questions to
it.
Year

Number of Students

Girls: boys

Pass boys

Fail girls

2011

3000

7
: 8

65%

20%

2012

4000

5
: 3

50%

15%

2013

9000

2
: 7

55%

15%

2014

3600

3
: 1

52%

20%

2015

4200

2
: 1

70%

15%

1. What was the percent of boys who failed in the
year 2015 amongst the total number of students who failed?
(a) 84%
(b) 40%
(c) 50%
(d) 80%
2. What was the percentage of the number of girls
who failed as compared with the number of boys who passed in the year 2012?
(a) 50%
(b) 53%
(c) 52%
(d) 56%
(e) None of these
3. What was the number of boys who failed in
examination in the year 2014?
(a) 432
(b) 430
(c) 420
(d) 425
(e) None of these
4. What was the ratio of the number of girls
appeared in examination in the years 2012 and 2015?
(a) 16 : 19
(b) 20 : 21
(c) 25 : 28
(d) 20 : 22
(e) None of these
5. How many girls passed in the exam in the year
2011?
(a) 1120
(b) 1540
(c) 1430
(d) 1890
(e) None of these
Directions
(6 – 10): Study the information carefully to answer the questions that follow:
In a college there are 900 students who are doing Post
Graduation (PG) in any one of the subjects, out of the five different subjects
viz. Zoology, Botany, Mathematics, Physics and Statistics. The ratio between
the boys and the girls among those is 5 : 4 respectively. 20% of the total
girls are doing PG in Zoology and 25% of the total girls are doing PG in
Statistics. Total number of students doing PG in Botany is 220. Total students
who are doing PG in Mathematics is 150. Respective ratio between the number of
girls and the number of boys doing PG in Statistics is 2 : 3. 20 per cent of
the total number of boys are doing PG in Botany. The ratio between the number
of girls and boys doing PG in Mathematics is 1 : 2 respectively. There are
equal number of boys and girls who are doing PG in Physics. 180 students are
doing PG in Zoology.
6. Number of girls doing PG in Statistics is what
per cent of the number of boys doing PG in Physics?
(a) 250
(b) 280
(c) 310
(d) 220
(e) 200
7. In which PG course the number of girls is the
highest and in which course the number of boys is the lowest (respectively)?
(a) Botany and Mathematics
(b) Mathematics and Physics
(c) Botany and Zoology
(d) Botany and Physics
(e) Statistics and Physics
8. What is the difference between the boys doing
PG in Zoology and the number of girls doing PG in Mathematics?
(a) 50
(b) 60
(c) 30
(d) 40
(e) None of these
9. What is the respective ratio between the boys
doing PG in Mathematics and the number of girls doing PG in Botany?
(a) 3 : 4
(b) 6 : 1
(c) 5 : 6
(d) 2 : 3
(e) None of these
10. What is the total number of students doing PG
in Physics and Statistics together?
(a) 400
(b) 300
(c) 350
(d) 250
(e) None of these
Solution:
1. C) Total no. of students in 2015 = 4200
No. of boys in 2015 =
4200 × 1/(1 + 2) = 4200 × 1/3 = 1400
No. of boys failed = 1400
– 1400 × 70/100 = 1400 – 980 = 420
No. of girls in 2015 =
4200 – 1400 = 2800
No. of girls failed =
2800 × 15/100 = 420
Total no. of students
failed = No. of boys failed + No. f girls failed = 420 + 420 = 840
Req. % = (420 × 100)/840
= 50%
2. A) Total
No. of students in 2012 = 4000
No. of boys = 4000 × 3/(3
+ 5) = 4000 × 3/8 = 1500
No. of boys passed = 1500
× 50/100 = 750
No. of girls = 4000 –
1500 = 2500
No. of girls failed =
2500 × 15/100 = 375
Therefore req. % = (375 ×
100)/750 = 50%
3. A) Total
no. of students in 2014 = 3600
No. of boys in 2014 =
3600 × 1/(1 + 3) = 3600 × 1/4 = 900
Passed boys in 2014 = 900
× 52/100 = 468
No. of boys failed in the
examination = 900 – 468 = 432
4. C) Total no. of students in 2012 = 4000
No. of girls in 2012 =
4000 × 5/(5 + 3) = 4000 × 5/8 = 2500
Total no. of students in
2015 = 4200
No. of girls in 2015 =
4200 × 2/(2 + 1) = 4200 × 2/3 = 2800
Therefore req. ratio =
2500 : 2800 = 25 : 28
5. A) Total
no.of students in 2011 = 3000
No. of girls = 3000 ×
7/(7 + 8) = 3000 × 7/15 = 1400
Percentage of girl who
failed = 20%
Then, no.of girls who
failed = 20/100 × 1400 = 280
Then, no.of girls who
passed = 1400 – 280 = 1120
(6 – 10): Explanation:
Data Analysis of given
data
Since we have the ratio
of boys : girls as 5 : 4 and total strength is 900.
Hence, we have 500 boys
and 400 girls.
20 % of 400 girls are
doing PG in Zoology ie 80 girls
∵ Total students in Zoology = 180
∴ Number of boys = 180 – 80 = 100
25% of the total girls
are doing PG in Statistics, ie, 100
∵ Ratio between the number of girls and the number of boys
doing PG in Statistics is 2 : 3 Hence, number of girls and boys studying
statistics is 100 and 150
The ratio between the
number of girls and boys doing PG in Mathematics is 1 : 2 respectively.
Since there are 150
number of students in Maths.
Hence there are 50 girls
and 100 boys in Maths
Total students in
Botany = 220
∵ 20% of total boys are in Botany i.e. 100 boys∴ remaining girls = 220 – 100 = 120 girls in Botany
Reaming students are in
Physics i.e. 900 – 180 – 220 – 150 – 250 = 100 students
There are equal number of
boys and girls who are doing PG in Physics. Hence 50 each
We can fill the remaining
entries of the table by ourselves
Subject

Boys

Girls

Total

Zoology

100

80

180

Botany

100

120

220

Mathematics

100

50

150

Physics

50

50

100

Statistics

150

100

250

6. E) Required percentage = 100 × 100/50 =
10000/50 = 200 %
7. D) We
have In Botany PG course the number of girls is the highest and in Physics
course the number of boys is the lowest (respectively).
8. A) ∴ Difference between the boys doing PG
in Zoology and the number of girls doing PG in Mathematics = 100 – 50 = 50
9. C) Respective
ratio between the boys doing PG in Mathematics and the number of girls doing PG
in Botany 100 : 120 = 5 : 6
10. C) ∴ Total number of students doing PG in
Physics and Statistics together = 100 + 250 = 350