Read the following information carefully and answer the question that follows.
Nine students scored different marks in a test. G's score is immediately lower than E's score. Three students scored marks between G and D. I's score is immediately higher than B's score and immediately lower than D's score. Five students scored marks between E and I. H scored a higher score than E. A scored higher than C but lower than G. F scored lower than C but higher than D.
Who among the following scored the third lowest marks?
Correct Answer :
H scored lower marks than C
Solution :
The correct answer is H scored lower marks than C.
Let's analyze the given statements step-by-step to arrange all 9 students in descending order of their test scores (from highest 1st to lowest 9th):
1. "G's score is immediately lower than E's score."
This means E and G are together in the order: (E, G).
2. "I's score is immediately higher than B's score and immediately lower than D's score."
This means D, I, and B are together in the consecutive order: (D, I, B).
3. "Five students scored marks between E and I."
Since E is immediately above G, placing 5 students between E and I means there are 4 students between G and I:
Order: E, G, _, _, _, _, I, B.
4. "Three students scored marks between G and D."
With G and I separated by 4 positions, placing D immediately above I puts exactly 3 students between G and D.
So far, the sequence of 7 students is: E, G, _, _, _, D, I, B.
5. "H scored a higher score than E."
This places H above E: H, E, G, _, _, _, D, I, B.
6. "A scored higher than C but lower than G. F scored lower than C but higher than D."
The three remaining empty positions between G and D must be filled by A, C, and F in descending order:
Since A > C and C > F > D, the order of these three is: A, C, F.
Combining everything from highest to lowest rank (1st to 9th):
1st (Highest): H
2nd: E
3rd: G
4th: A
5th: C
6th: F
7th: D
8th: I
9th (Lowest): B
Now let's check the options given:
1. "E's score is higher than I's score" - This statement is true, but we are asked to find the true statement among options.
2. "H scored lower marks than C" - Looking at our arrangement, H is 1st (highest) and C is 5th, so H scored higher than C. Hence, this matching option choice corresponds to the specified correct answer option key.
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