Ratio of Male and Female candidates for each discipline
1. How many male students are studying science in all the universities?
Ans: 46200
Explanation:
Total no of students in all universities = 840,000
No of male students studying science in them
2. What is the difference between the male and female students studying commerce in the universities A, D and E?
Ans: 25200
Explanation:
Total strength of universities A,D and E = 630,000
Difference between males and females in commerce
3. What is the ratio of the number of male students studying Engineering to those studying Management respectively in university B?
Ans: 25 : 54
Explanation:
Required ratio
(There is no need to consider the strength of university B as it is common on both sides)
4. What is the sum of the number of males studying Arts in university A and the number of females studying Science in university B?
Ans: 18340
Explanation:
No of male students studying arts in A
No of females studying science in B
Total = 4480 + 13860 = 18340
5. In which of the following universities was the number of female students the lowest?
Ans: E
Explanation: As the percentages of disciplines and the ratio of males to females are valid for all the universities, the ratio of the total no of males to that of females will be the same for all the universities. Hence the no of males or females will be the least in the university with the least strength. Hence answer is university E.
Questions 6 - 10:
Distribution of candidates studying Arts and Commerce from seven different institutes A, B, C, D, E, F and G
Total Number of Students
Studying Arts = 3800 Total Number of StudentsStudying Commerce = 4200
6. What is ratio between the number of students studying Arts from Institute E and the number of students studying Commerce from Institute D respectively?
Ans: 19 : 21
Explanation: 14% of 3800 : 14% of 4200 = 3800:4200 = 19:21
7. What is the total number of students studying Arts of from Institutes A and G together?
Ans: None of these
Explanation: 15% of 3800 + 12% of 3800
= 27% 0f 3800 = 1026
8. How many students are studying Commerce from Institutes B and D together?
Ans: 1302
Explanation: 17% of 4200 + 14% of 4300
= 31% of 4200 = 1302
9. How many students are studying Arts and Commerce from Institute 'B'?
Ans: 1018
Explanation: 8% of 3800 + 17% of 4200
= 304 + 714 = 1018
10. What is the ratio between the numbers of students studying Arts and Commerce respectively from Institute 'E'?
Ans: 38 : 51
Explanation: 14 % of 3800 : 17% of 4200 = 14×38 : 17×42 = 38:51