IBPS PO Mains: Quant Quiz (D.I. of IBPS PO 2012 and 2014)

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.

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)