Directions
(1 – 5): Study
the pie chart and answer the questions:
Distribution
of total number of candidate who appeared for a competitive exam from six
different states.
1.
If the number of male qualified candidates from state A is 264 and ratio of
unqualified male to unqualified female is 2:1then what is the ratio of
unqualified to qualified female from state A?
a) 2:23 b)
7:27 c) 23:27 d) 1:27 e) None of these
2.
What is the ratio of average number of candidates who could not qualify in the
competitive exam from state C, D and F to average number of qualified candidates
from other states?
a) 14 :51 b)
29:12 c) 13:24 d) 15:41 e) 16:51
3.
What is the central angle corresponding to number of unqualified candidates
from state B and C?
a) 102.4° b)
123° c) 169.2° d) 96.6° e) None of these
4.
What percent more is total number of qualified candidates from state A and D
together and those who could not qualify in the competitive exam from the same
state together?
a) 200% b)
125% c) 600% d) 500% e) 400%
5.
Total number of qualified candidates from states D and F together is what
percent more than the number of appeared candidates from state A?
a) 36 (2/3)%
b) 33(1/3)% c) 27(1/3)% d) 42 (2/3)% e) None of these
Directions
(6 – 10): Study
the following table carefully and answer the question.
Coaching Institutes

Total No.of students who
have enrolled for the coaching institutes

% of students who have
enrolled for given coaching institutes from different Schools


P

Q

R

S


A

80

25%

20%

35%

20%

B

100

24%

30%

18%

28%

C

250

28%

24%

32%

16%

D

200

10%

20%

25%

45%

E

180

15%

30%

25%

30%

6.
What is the respective ratio between total number of students who have enrolled
for coaching institutes A and C together from school P and total number of students
who have enrolled for the same coaching institutes together from school Q?
(a) 44:35 (b)
75:32 (c) 34:75 (d) 45:38 (e) None of these
7.
In coaching institutes E, 40% are females. If 20% of the total females are from
school Q, what is the difference in number of Female students from school P, S
and R who has enrolled from coaching institute E to school Q?
(a) 18 (b) 40
(c) 13 (d) 35 (e) None of these
8.
What is the average number of students have enrolled in coaching institutes A,
C, E and D from school P, R, Q, and S respectively?
(a) 45 (b) 61
(c) 51/2 (d) 23/2 (e) None of these
9.
What percentage is the total number of students who have enrolled from coaching
institute A from schools P and S together and the total number of students who
have enrolled for coaching institute C from the same school together?
(a) 34.67%
(b) 78.32% (c) 45.51% (d) 56.32% (e) None of these
10.
In coaching institute B, the total number of students who have enrolled from
schools P and R together is what percent less than the total number of students
from schools Q and S together?
(a) 72.41%
(b) 45.23% (c) 27.58% (d) 40.23% (e) None of these
Solutions:
(1 – 5):
States

Appeared (3600)

Qualified (2400)

Not Qualified

A

18% = 648

20% = 480

168

B

25% = 900

18% = 432

468

C

12% = 432

14% = 336

96

D

18% = 648

25% = 600

48

E

15% = 540

13% = 312

228

F

12% = 432

10% = 240

192

1. (b), males qualified candidates =264, so
female qualified candidate from state A is 480264 = 216
Ratio of male
to female in not qualified = 2:1, so female who did not qualify = 1/3*168 = 56,
Ratio =
56/216 = 7/27.
2. (a), average
number of candidates who did not qualify from state C, D and F = 96+48+192/3 =
112
Average
number of candidate who qualified from state A, B, and E = 480+432+312/3 = 408
So the ratio
= 112/408 = 14/51
3. (c), percentage of State B and C in
unqualified category = (468+96/1200) ∗ 100 = 47%
So central
angle = 47*360/100 = 169.2°
4. (e), total number of qualified
candidates from state A and D together = 480+600 = 1080
Percentage =
(1080216)/216 * 100 = 400%
5. (e), total number of qualified
candidates from state D and F together = 600+240 = 840
Percentage =
(840648)/648*100 = 29.62%
(6 – 10):
Coaching Institutes

Schools


P

Q

R

S


A (80)

25% = 20

20% = 16

35% = 28

20% = 16

A (100)

24% = 24

30% = 30

18% = 18

28% = 28

C (250)

28% = 70

24% = 60

32% = 80

16% = 40

D (200)

10% = 20

20% = 40

25% = 50

45% = 90

E (180)

15% = 27

30% = 54

25% = 45

30% = 54

6. (d), total number of students who
have enrolled for coaching institutes A and C together from school P = 20+70 =
90
Total number
of students who have enrolled for the same institutes from school = 16+60 = 76
Ratio = 90:76
= 45:38
7. (b), female =
40%*180 = 72, 20% of female is from school Q = 14
Female from
other school = 7214 = 58
So the
difference = 5814 = 40
8. (b), average
number of student = (20+80+54+90)/4 = 61
9. (e), percentage = (20+16)/(70+40)
∗ 100 = 32 8/11%
10. (c), percentage =
(5842)/58*100 = 27.58%