Six students get different marks in an exam. B gets higher marks than only R. H gets higher marks than K and lower than I. U gets higher marks than H and lower than I. Who among the following gets the 3rd highest marks?
Correct Answer :
H
Solution :
The correct option is H.
Let us analyze the given information step-by-step to rank the six students in decreasing order of their marks:
1. Total Students: There are 6 students: B, R, H, K, I, and U.
2. Analyzing "B gets higher marks than only R":
This statement means B has higher marks than exactly one person, which is R. Therefore, R must have the lowest marks (6th position) and B must have the 2nd lowest marks (5th position).
So, the order from 1st (highest) to 6th (lowest) starts to look like:
_ > _ > _ > _ > B > R
3. Analyzing "H gets higher marks than K and lower than I":
This gives the relative order: I > H > K.
4. Analyzing "U gets higher marks than H and lower than I":
This gives the relative order: I > U > H.
5. Combining the relations for the top 4 positions:
From points 3 and 4, we see that both H and U are lower than I, and H is higher than K. Also, U is higher than H.
Putting these together:
I > U > H > K
6. Final Sequence:
Combining the top 4 students with the bottom 2 students (B and R), the complete sequence from highest to lowest marks is:
I > U > H > K > B > R
7. Finding the 3rd Highest Marks:
- 1st highest: I
- 2nd highest: U
- 3rd highest: H
- 4th highest: K
- 5th highest: B
- 6th highest: R
Thus, H gets the 3rd highest marks.
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