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
Solutions And Answers :
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
Answers :
1.2
2.1
3.3
4.2
5.2
