Study the following information carefully and answer the questions given below :
There are a certain number of students who appeared exams conducted in different subjects UPSC , BANK and SSC . All of them have cleared at least one exam . 39.4% students cleared UPSC exam , 41.4% students cleared BANK exam and 53.6% students cleared SSC . 8% students cleared onlyUPSC and BANK , 7% students cleared only BANK and SSC exam and 9.8% students cleared only UPSC and SSC Exams . If total number of students in the group is 500.
1. How many students cleared all 3 examinations ?
1.16
2.14
3.32
4.48
5.36
2.What is the percentage of students who cleared the only UPSC examination ?
1.14.6%
2.16.8%
3.18%
4.24%
5.12.4%
3.How many students are there who cleared at least two examination ?
1.142
2.136
3.132
4.128
5.148
4.What is the % of students who cleared the examination BANK but couldn't SSC ?
1.29.6%
2.28.4%
3.27%
4.21.6%
5.23.4%
5.How many students are there who cleared at most one exam conducted by these three exams ?
1.204
2.168
3.308
4.352
5.376
Solutions and Answers :
Solution :
No.of students cleared UPSC = 197
No.of students cleared BANK = 207
No.of students cleared SSC =268
No.of students only cleared UPSC = X
No.of students only cleared BANK = Y
No.of students only cleared SSC = Z
No.of students cleared all 3 exams = K
No.of students cleared UPSC and BANK = 40
No.of students cleared UPSC and SSC = 49
No.of students cleared BANK and SSC = 35
X+K = 197-(40+49) = 108
Y+K = 207-(40+35) = 132
Z + K = 268 - ( 49+35) = 184
X+Y+Z+K = 500 - (40+49+35)= 376
From above equations
X=84 ; Y =108 ; Z = 160 ; K = 24
Answers :
1.2
K=24
2.2
Only UPSC = 84
Total no.of students = 500
% of only UPSC cleared = 84*100/500 = 16.8%
3.5
Who cleared at least two examination = 40+49+35+24=148
4. 1
who cleared BANK ,but not SSC = 148*100/500 = 29.6%
5. 4
= 84+108+160+160=352
