Study the following table carefully and answer the questions given below.
The number of students studying in different faculties in seven institutions.
Institution | FACULTY | ||||
Art | Commerce | Science | Engineering | Management | |
A B C D E F G |
125 96 144 165 215 184 225 |
187 152 235 138 196 212 206 |
216 198 110 245 287 195 182 |
98 157 164 66 86 112 138 |
74 147 127 36 66 97 89 |
1. What is the percentage of students studying science to the total number of students studying in the Institute G?
(a) 17.20
(b) 12.70
(c) 21 1/3
(d) 21 2/3
(e) None of these
Solution: D
Total number of students studying in the Institute G = 225 + 206 + 182 + 138 + 89 = 840
The no. of students of Institute G studying Science = 182
Required percentage = [182/ 840] ×100 = 21.66 = 21 66/100 = 21 2/3 (approx..)
2. Out of the total students of the institute ‘D’ approximately. What percentage of students are studying management?
(a) 9
(b) 8
(c) 12
(d) 10
(e) 5
Solution: e:-
Total students of D = 165 + 138 + 245 + 66 + 36 = 647
Required percentage = [36/647]× 100 = 5.5
3. The total number of students studying art in institutes A, B and C together is approximate.
What percentage of the total number of students studying commerce in institutes D, E, F, and G together?
(a) 50
(b) 45
(c) 42
(d) 55
(e) 53
Answer A:
Number of Students studying Arts in institutes A, B and C = 125 + 96 + 144 = 365
Number of students studying commerce in institute D, E, F and G = 138 + 96 + 212 + 206
= 752.
Required percentage = [365/752]× 100 = 48.5%
4. What is the percentage of students studying Engineering in institute C to the total students of all institutions studying Engineering? (rounded to the nearest integer).
(a) 19
(b) 20
(c) 19
(d) 21
(e) None of these
Solution: D
Total number of Engineering students in all institutes = 98 + 157 + 164 + 66 + 86 + 112 + 138 = 821
No. of Engineering Students in Institute C = 164
Required percentage = [164/821]× 100 = 20.97% = 21
5. In which institution, the percentage of students studying commerce to the total students of that institution is maximum?
(a) F
(b) G
(c) C
(d) A
(e) None of these.
Solution: C
First, find the total students in each institute A, B, C, D, E, F, and G. and then compare commerce students with that of total students.
Here,
The required percentage of C is maximum.