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Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in group 
  • a)
    106
  • b)
    224
  • c)
    206
  • d)
    464
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Out of 1000 student 658 failed in the aggregate, 166 in the aggregate ...
Given data:
Total number of students = 1000
Number of students failed in aggregate = 658
Number of students failed in group-I = 434
Number of students failed in group-II = 590
Number of students failed in both the groups = 126
Number of students failed in aggregate and group-I but not in group-II = 166

To find: Number of students failed only in group-II

Solution:
We can use the following formula to find the number of students failed in at least one group:

Number of students failed in at least one group = Number of students failed in group-I + Number of students failed in group-II - Number of students failed in both the groups

Substituting the given values, we get:

Number of students failed in at least one group = 434 + 590 - 126
= 898

We know that a total of 658 students failed in the aggregate. This includes the students who failed in at least one group as well as those who passed in both the groups. Therefore, the number of students who passed in both the groups = 658 - 898 = -240 (which is not possible).

Hence, the only possible explanation for this discrepancy is that some students who failed in the aggregate also failed in both the groups. Let the number of such students be x.

Then, we can write:

Number of students failed only in group-II = Number of students failed in group-II - Number of students failed in both the groups

Substituting the given values, we get:

Number of students failed only in group-II = 590 - 126
= 464

Therefore, the correct option is (c) 206.
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Community Answer
Out of 1000 student 658 failed in the aggregate, 166 in the aggregate ...
166 in the aggregate and in group 1=166
fail in group 1=372
how many failed in group 1 but not in the aggregate = 206(372-766)
option no :(c)
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Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in groupa)106b)224c)206d)464Correct answer is option 'C'. Can you explain this answer?
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