Directions (1-5) Study the information carefully to answer the following
questions.
There are 7200 students in an engineering college. The ratio of
boys to girls is 7:5, respectively. All the students are enrolled in six
different specialisation viz. B.Tech. (Electronics), B.Tech. (Computer
Science), B.Tech. (Mechanical), B.Tech. (Aerospace), B.Tech. (Nano Technology),
B.Tech. (Civil).
22% of the total students are in B. Tech. (Nano Technology). 16% of girls are in B. Tech. (Computer Science). 18% of boys are in B.Tech. (Mechanical). Girls in B.Tech. (Civil )are 30% of the girls in B.Tech. (Computer Science). 15% of boys are in B.Tech. (Electronics). Boys in B.Tech. (Computer Science) are 50% of the girls in the same. 15% of girls are in B.Tech. (Aerospace). The ratio of boys to girls in B.Tech. (Civil) is 3:1, respectively 24% of the total number of students are in B.Tech. (Electronics). The ratio of boys to girls in B.Tech. (Aerospace) is 12 : 5, respectively.
22% of the total students are in B. Tech. (Nano Technology). 16% of girls are in B. Tech. (Computer Science). 18% of boys are in B.Tech. (Mechanical). Girls in B.Tech. (Civil )are 30% of the girls in B.Tech. (Computer Science). 15% of boys are in B.Tech. (Electronics). Boys in B.Tech. (Computer Science) are 50% of the girls in the same. 15% of girls are in B.Tech. (Aerospace). The ratio of boys to girls in B.Tech. (Civil) is 3:1, respectively 24% of the total number of students are in B.Tech. (Electronics). The ratio of boys to girls in B.Tech. (Aerospace) is 12 : 5, respectively.
1.What
is the total number of students enrolled in B.Tech. (Mechanical)?
(a)1062
(b)1530
(c)1584
(d)1728
(e)1800
2.Number
of girls enrolled in B.Tech. (Electronics) forms approximately, what per cent
of total number of students in the college?
(a)7%
(b)13%
(c)15%
(d)22%
(e)24%
3.What
is the total number of girls enrolled in B.Tech. (Nano Technology)?
(a)144
(b)306
(c)365
(d)480
(e)522
4.Number
of boys enrolled in B.Tech. (Aerospace) forms, what per cent of the total
number of girls enrolled in B.Tech. (computer science)?
(a)187.5%
(b)200%
(c)212.5%
(d)225%
(e)232.5%
5.What
is the total number of boys enrolled in B.Tech. (Civil)?
(a)240
(b)432
(c)630
(d)756
(e)810
Directions (6-10) Study the following pie chart and table
carefully to answer the questions.
Degree wise breakup of employees working in various
departments of an organisation and total number of employee = 3250
Respective ratio of men to women in each
department
6.What
is the number of men working in the marketing department?
(a)462
(b)454
(c)418
(d)424
(e)None of these
7.What
is the respective ratio of the number of women working in the HR department to
the number of men working in the IT department?
(a)11 : 12
(b)17 : 29
(c)13 : 28
(d)12 : 35
(e)None of these
8.The
number of men working in the production department of the organisation forms
what per cent of the total number of employees working in that
department?
(a)88%
(b)90%
(c)75%
(d)65%
(e)None of the above
9.The
number of women working in the IT department of the organisation forms what per
cent of the total number of employees in the organisation from all departments
together?
(a)3.2%
(b)4.8%
(c)6.3%
(d)5.6%
(e)None of these
10.What
is the total number of men working in the organisation?
(a)2198
(b)2147
(c)2073
(d)2236
(e)None of these
Answers -
solution (1-5)
Number
of boys=7/12X7200=4200
Number
of girls=5/12X7200=3000
Number
of students in B.tech.(Nano Technology)=22% of 7200=1584
Number
of girls in B.tech.(Computer Science)=16% of 30000=480
Number
of boys in B.tech.(Mechanical)=18% of 4200=756
Number
of girls in B.tech.(Civil)=30% of 480=144
Number
of boys in B.tech.(Electronics)=15% of 4200=630
Number
of boys in B.tech.(Computer Science)=50% of 480=240
Number
of girls in B.tech.(Aerospace)=15% of 3000=450
Number
of boys in B.tech.(Civil)=3/1X144=432
Number
of students in B.tech.(Electronics)=24% of 7200=1728
therefore,
Number of girls in B. Tech (Electronics)=1728-630=1098
Number
of boys in B. Tech (Aerospace)=12/5X450=1080
Number
of boys in B. Tech (Nano Technology)=4200-(756+630+240+432+1080)
=4200-3138=1062
therefore,
Number of girls in B.Tech. (Nano Technology)=1584-1062=522
Number
of girls in B.Tech (Mechanical)= Remaining number of girls
=3000-(480+144+450+1098+522)
=3000-2694=306
1.(a);
From the table, it is clear that total number of students enrolled in B. Tech
(Mechanical)=756+306=1062
2.(c);
Number of girls enrolled in B.Tech (Electronics)=1098
Therefore,
Required percentage=1098/7200X100%=15.25%=15%
3.(e);
Number of girls enrolled in B.Tech. (Nano Technology)=522
4.(d);Number
of boys enrolled in B.Tech. (Aerospace)=1080
Number
of girls enrolled in B.Tech. (Computer Science)=480
Therefore,
Required percentage=1080/480X100%=225%
5.(b);Total
number of boys enrolled in B.Tech. (Civil)=432
solution (6-10)
6(e); No of men
working in marketing department=3250X(79.2/360)X(3/5)=429
7(c);
No of women working in HR department=3250X(36/360)X(13/25)
No
of men working in IT department=3250X(57.6/360)X(7/10)
Required
ratio=36X13X10/(57.6X7X25)=13:28
8(e);
No of men working in production department=3250X(136.8/360)X(4/5)
Total
of of employee working in production=3250X(136.8/360)
Required
%=(4/5)X100=80%
9(b);
No of women working in IT department=3250X(57.6/360)X(3/10)=156
Required
%=(156/3250)x100=4.8%
10(b)
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