1
Question
Information given below shows % of students, who applied for selection in a competition. For final selection one has to pass through five members stages written test, aptitude test, group task, group discussion, interview and a medical checkup in the same order. At every stage only those candidates who fulfill the required standards are qualified for next stage. Table below given the region wise details.
Task
Region
Written
test
Aptitude
Group
Task
Group
Discussion
Interview
Medical
checkup
West
70%
90%
85%
50%
90%
90%
North
68%
88%
90%
60%
85%
90%
South
80%
85%
80%
70%
70%
80%
Nort-east
75%
95%
78%
40%
65%
85%
Central
70%
80%
68%
50%
60%
70%
For Example: 70% of the people from central reject who appeared for written test have qualified for aptitude. 80% of those have taken aptitude are qualified for group test and so on.
If the candidate appearing for written test from Northen and southern region are in ratio of 4 : 5 what is the approximate ratio of people who will appeared for final interview from these region respectively.
Information given below shows % of students, who applied for selection in a competition. For final selection one has to pass through five members stages written test, aptitude test, group task, group discussion, interview and a medical checkup in the same order. At every stage only those candidates who fulfill the required standards are qualified for next stage. Table below given the region wise details.
| Task Region |
Written test |
Aptitude | Group Task |
Group Discussion |
Interview | Medical checkup |
| West | 70% | 90% | 85% | 50% | 90% | 90% |
| North | 68% | 88% | 90% | 60% | 85% | 90% |
| South | 80% | 85% | 80% | 70% | 70% | 80% |
| Nort-east | 75% | 95% | 78% | 40% | 65% | 85% |
| Central | 70% | 80% | 68% | 50% | 60% | 70% |
For Example: 70% of the people from central reject who appeared for written test have qualified for aptitude. 80% of those have taken aptitude are qualified for group test and so on.
If the candidate appearing for written test from Northen and southern region are in ratio of 4 : 5 what is the approximate ratio of people who will appeared for final interview from these region respectively.
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Solution
The correct option is A 13 : 19
No. of students from northern region = 4x.
No. of students appeared for final interview
=4x×0.68×0.88×0.9×0.6=1.2925x
Similarly no. of students for final interview from southern region
=5x×0.8×0.85×0.80×0.70=1.904x
Hence required ratio = 13 : 19
No. of students from northern region = 4x.
No. of students appeared for final interview
=4x×0.68×0.88×0.9×0.6=1.2925x
Similarly no. of students for final interview from southern region
=5x×0.8×0.85×0.80×0.70=1.904x
Hence required ratio = 13 : 19
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