Directions (1 – 5): Study
the following information carefully and answer the given questions.
In a school of 1200 students the
number of male students and the number of female students are in the ratio of 7
: 5. They study 3 subjects — Sanskrit, Polity and Physics. Each students
studies at least one of these subjects. 10% of male students study Sanskrit
only, 20% study Polity only and 12% study Physics only. 10% study only Sanskrit
and Physics. 18% study only Physics and Polity and 20% study only Sanskrit and
Polity. The remaining male students study all the subjects. 18% of female
students study Sanskrit only. 10% study Polity only and 12% study Physics only.
20% study only Sanskrit and Physics, 12% study only Physics and Polity and 8%
study only Sanskrit and Polity. The remaining female students study all the
three subjects.
1. The total number of male students studying less than two
subjects is what per cent of the total number of female students studying more
than one subjects.
A) 98%
B) 76%
C) 68%
D) 84%
E) None of these
2. What is the ratio of total number of female students who
study all the subjects to the total number of male students who study all three
subjects ?
A) 20 : 13
B) 29 : 15
C) 25 : 18
D) 10 : 7
E) 14 : 9
3. What is the ratio of the number of male students who study
Polity to the number of female students who study Sanskrit?
A) 171 : 60
B) 238 : 165
C) 238 : 61
D) 14 : 15
E) 165 : 238
4. The number of male students studying only Polity is what
per cent of the number of female students who study only Physics and only
Sanskrit ?
A) 95 1/3%
B) 98 1/3%
C) 93 1/3%
D) 93 2/3%
E) 87 1/3%
5. The number of female students studying Physics only is
approximately what per cent less than the number of male students studying
Sanskrit only ?
A) 14%
B) 24%
C) 18%
D) 20%
E) 30%
Directions (6 – 10): Given below is the percent of the number
of lawyers fromBRICS countries attended a different number of conferences in
the year 2016.
Country

No. of conferences attended – 5

No. of conferences attended – 6

No. of conferences attended – 7

No. of conferences attended – 8

No. of conferences attended – 9

No. of conferences attended – 10

India

22

18

25

10



12

Russia



14

28





20

China

12

20

32







Brazil





25

16

24

15

South Africa

23



25



35

7

6. The percentage of lawyers from Russia who attended 8
conferences is 28% and 22% of lawyers from Brazil attended 8 conferences. If
the total number of lawyers from Russia is 550, then find the ratio of lawyers
from Russia who attended 8 conferences to the lawyers from Brazil who attended
8 conferences ?
A) 15 : 56
B) 14 : 9
C) 8 : 5
D) 11 : 50
E) 11 : 40
7. If the number of lawyers from China who attended at most 7
conferences is equal to the number of lawyers from Brazil who attended at least
7 conferences and the total number of lawyers from Brazil is 175, then find the
number lawyers from China who attended 7 conferences.
A) 35
B) 70
C) 80
D) 75
E) 50
8. The number of lawyers from India who attended more than 6
conferences is approximate what percent less than the number of lawyers from
Brazil who attended at least 7 conferences if the number of lawyers who
attended 6 conferences from India is 63. The number of lawyer of Brazil who
attended 9 conferences is 28 more than the number of lawyers from India, who
atteneded 5 conferences ?
A) 39%
B) 35%
C) 53%
D) 40%
E) 57%
9. If the difference between the numbers of lawyers from South
Africa who attended 7 conferences and lawyers who attended 9 conferences is 25,
and the total number of lawyers from China are 74% of the total number of
lawyers from South Africa then, find the number of lawyers from China who
attended 6 conferences?
A) 37
B) 40
C) 39
D) 32
E) 35
10. If the total number of lawyers from India who attended at
most 6 conferences is eqaul to the sum of a number of lawyers from South Africa
who attended 5 conferences, and the number of lawyers from the same country who
attended 10 conferences, then the total number of lawyers from India is what
per cent of total number of lawyers from South Africa?
A) 65%
B) 70%
C) 80%
D) 75%
E) 85%
Solutions:
(1 – 5):
Total number of students = 1200
Male students = 1200 × 7/12 = 700
Female students = 1200 – 700 = 500
Subjects

Male Students (700)

Female Students (500)

Only Sanskrit

700 × 10/100 = 70

500 × 18/100 = 90

Only Polity

700 × 20/100 = 140

500 × 10/100 = 50

Only Physics

700 × 12/100 = 84

500 × 12/100 = 60

Only Sanskrit and
Physics

700 × 10/10 = 70

500 × 20/100 = 100

Only Physics and
Polity

700 × 18/100 = 126

500 × 12/100 = 60

Only Sanskrit and
Polity

700 × 20/100 = 140

500 ×8/100 = 40

All the subjects

700 – (70 + 140 +
84 + 70 + 126 + 40) = 700 – 630 = 70

500 – (90 + 50 +
60 + 100 + 60 + 40) = 500 – 400 = 100

1. A) Total
number of male students who study less than two subjects = 70 + 140 + 84 = 294
Total number of female students who
study more than one subjects = 60 + 100 + 40 + 100 = 300
Therefore, required percentage =
294/300 × 100 = 98%
2. D) Required
ratio = 100/70 = 10/7
3. D) The number of male students who study
polity = 140 + 126 + 140 + 70 = 476
The number of female students who
study Sanskrit = 90 + 100 + 40 + 100 = 330
Therefore required ratio = 476/330 =
238/165 = 238 : 165
4. C) Required percentage = [140/(60 + 90)]
× 100 = 140/150 × 100 = 93 1/3%
5. A) Required percentage = [(70 – 60)/60] ×
100 = 14 2/7% = 14% less
6. D) Total number of lawyers from country
Russia = 550
No. of lawyers from country Russia
who attend 8 conferences = 28% = 28% of 550 = 154
154 is 22% of number of lawyers from
country Brazil who attend 8 conferences
Total number of lawyers form Brazil
who attend 8 conferences = 154/22 × 100 = 700
Therefore, required ratio = 154/700 =
11 : 50
7. B) Total percentage of lawyers from
China who attended at most 7 conferences = 32% + 20% + 12% = 64%
Total percentage of lawyers from Brazil
who attended at least 7 conferences = 25% + 16% + 24% + 15% = 80%
Total number of lawyers from Brazil =
175
According to the given information, 140
is 64% of total number of lawyers from China
Total no. of lawyers from China =
140/64 × 100
Therefore, required lawyers = 140/64 ×
100 × 32/100 = 70
8. D) Total no. of lawyers from India = 63/18
× 100 = 350
No. of lawyers from India who attended
more than 6 conferences = 60% of 350 = 210
No. of lawyers from India who attended
5 conferences = 350 × 22/100 = 77
Total no. of lawyers from Brazil who
attended 9 conferences = 77 + 28 = 105
Therefore, no. of lawyers from Brazil
who attended at least 7 conferences = 105 × 100/24 × (25% + 16% + 24% + 15%) =
105 × 100/24 × 80/100 = 350
Now, required percentage = [(350 –
210)/350] × 100 = 140/350 × 100 = 40%
9. A) Total no. of lawyers from South
Africa = 25 × 100/10 = 250
Now total no. of lawyers from China =
250 × 74/100 = 185
Therefore, required no. of lawyers =
185 × 20/100 = 37
10. D) Total percentage of lawyers from
India who attended at most 6 conferences = (22 + 18)% = 40%
Total percentage of lawyers from
South Africa = (23 + 7)% = 30%
Therefore, required percentage =
30/40 × 100 = 75%