# Data Analysis (Part-4) For SBI PO ### Studying  the information carefully to answer the following questions :

A College  consist of 3400 Students. The ratio of males to the females is 19 : 15. All the Students Studying  at five different departments named Chemistry, Physics, Biology, Sociology, and Mathematics . 26 per cent of the total females are at department Chemistry. 20 per cent of the total males are at department Physics. One–fifth of the total males Studying  at department Mathematics .

The ratio of females to males at department Physics is 6 : 5. 22 per cent of the total number of Students are at department Biology. Females Studying at department Mathematics  are 40 per cent of the males Studying  at the same department. 16 per cent of the total females are Studying at department Sociology. The remaining females are at department Biology. 18 per cent of the total males Studying  at department chemistry and the remaining males are Studying  at department Sociology.

1. What is the number of males Studying  at department Biology ?
1) 512
2) 486
3) 506
4) 286
5) None of these

2. The number of males Studying  at department Sociology forms what per cent of the number of females Studying  at the same department?
1) 130 %
2) 125 %
3) 110 %
4) 135 %
5) None of these

3. What is the number of females Studying  at department Mathematics ?
1) 224
2) 172
3) 152
4) 288
5) None of these

4. The number of males Studying  at department Chemistry forms approximately what per cent of the total number of the Students in the department Chemistry ?
1) 44 %
2) 46.72 %
3) 49.75 %
4) 42.72 %
5) None of these

5. What is the total number of females Studying at department Physics and Sociology together?
1) 680
2) 696
3) 716
4) 700
5) None of these

Solution :

Total Number of Students = 3400

ratio of males to the females is 19 : 15

Total males in college = 1900

Total Females in College = 1500

26 per cent of the total females are at department Chemistry = 26*15= 390

20 per cent of the total males are at department Physics = 20*19=380

One–fifth of the total males Studying  at department Mathematics = 1900/5 =380

The ratio of females to males at department Physics is 5 : 6
==>5 units --------- 380
6 Units---------- ?
total females are at department Physics = 456

22 per cent of the total number of Students are at department Biology = 22*34 =748

Females Studying at department Mathematics  are 40 per cent of the males Studying  at the same department = 38*4 = 152

16 per cent of the total females are Studying at department Sociology = 15*16 = 240

remaining females are at department Biology = 1500-1238 = 262

18 per cent of the total males Studying  at department chemistry = 18*19 = 342

remaining males are Studying  at department Sociology = 1900-1588 = 312

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