Question Details

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 in the test?

Options

A

B

B

None of these

C

I

D

F

E

D

Show Answer

Correct Answer :

Option E

D

Solution :

Correct Answer: D


Let's analyze the given conditions step-by-step to determine the order of marks obtained by the nine students, from highest to lowest score (positions 1 to 9).

Step 1: Analyze the information about students I, B, and D.
1. "I's score is immediately higher than B's score and immediately lower than D's score."
This gives us a contiguous block of three students in descending order of marks:
D > I > B

Step 2: Analyze the information about E, G, and I.
2. "G's score is immediately lower than E's score."
This means E and G form a contiguous block: E > G.
3. "Five students scored marks between E and I."
So, there are 5 positions between E and I. This means the difference in their positions is 6.
Case A: E is above I, so the order is E _ _ _ _ _ I.
Case B: I is above E, so the order is I _ _ _ _ _ E.

Step 3: Combine with D, I, and G.
4. "Three students scored marks between G and D."
Since G is immediately below E (E > G):
If E is in position 1, G is in position 2.
Since there are 3 students between G and D, D must be in position 6 (2 + 3 + 1 = 6).
From Step 1, D > I > B, so D, I, B are contiguous: D is at 6, I is at 7, B is at 8.
Let's check the number of students between E (pos 1) and I (pos 7):
Positions between 1 and 7 are 2, 3, 4, 5, 6 (exactly 5 students: G, _, _, _, D). This perfectly matches the condition "Five students scored marks between E and I"!

So the relative ordering of these 5 students from highest (pos 1) to lowest is:
Pos 1: E
Pos 2: G
Pos 6: D
Pos 7: I
Pos 8: B

Step 4: Incorporate the remaining conditions for H, A, C, and F.
5. "H scored a higher score than E."
Since there are 9 positions in total and E must have a student above it, H must be at Position 1 (highest score), which shifts all positions down by 1:
Pos 1: H
Pos 2: E
Pos 3: G
Pos 7: D
Pos 8: I
Pos 9: B

6. Remaining positions to fill are 4, 5, and 6 for the remaining three students: A, C, and F.
Let's check the conditions for A, C, and F:
- "A scored higher than C but lower than G." (G > A > C)
- "F scored lower than C but higher than D." (C > F > D)

Combining these gives the order: G > A > C > F > D.
Since G is at Position 3 and D is at Position 7, the positions 4, 5, and 6 are filled by A, C, and F respectively:
Pos 4: A
Pos 5: C
Pos 6: F

Step 5: Final Ranking (Highest to Lowest Score)
1. H (Highest)
2. E
3. G
4. A
5. C
6. F
7. D (3rd Lowest)
8. I (2nd Lowest)
9. B (Lowest)

Counting from the lowest (9th place), the 3rd lowest mark belongs to the student in 7th position, which is D.

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