Logical Reasoning 6 Solved Past Papers 2022 to 2025 Archives

Linear Ranking, Ordering & Inequalities Past Papers

Solved past paper MCQs for Linear Ranking, Ordering & Inequalities from official UHS, NUMS, SZABMU, DUHS, and KMU examinations. Includes verified distractor autopsies and step-by-step cognitive explanations.

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Official printable A4 booklet containing all 6 verified past paper MCQs with unbroken options, 5-column rapid answer key, and Propolis cognitive error autopsies.

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#1 of 6 KMU 2025
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Ahmed ranks 10th in the class of 46 students. There are only 7 students below Bilal rankwise. How many students are there between Ahmed and Bilal?
A
27
B
30
C
28
D
32
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Intermediary Count in Ranks.

Formula: \(\text{Between} = \text{Rank}_2 - \text{Rank}_1 - 1\)

Solution:

  • Ahmed's rank from top = 10.


  • Bilal's rank from top = \(46 - 7 = 39\).


  • Students strictly between = \(39 - 10 - 1 = 28\).


Why other options are incorrect:

• Option A: Forgets to subtract 1 (calculates \(39 - 10 = 29\) or miscounts).
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#2 of 6 KMU 2025
Permalink
Ahmed ranks 10th in the class of 46 students. There are only 7 students below Bilal rank wise. How many students are there between Ahmed and Bilal?
A
27
B
28
C
30
D
32
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Rank Offset.

Formula: \((46 - 7) - 10 - 1 = 28\)

Solution: Bilal rank = 39. Students strictly between 10th and 39th = 28.

Why other options are incorrect:

• Option A: Off-by-one miscalculation.
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#3 of 6 DUHS 2024 Reconduct
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Three students X, Y, and Z run in a race. Y and Z run faster than X. Who will win?
A
X wins
B
Y wins
C
Z wins
D
Data Insufficient
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Incomplete Comparison Sets.

Formula: N/A

Solution: The premises give \(Y > X\) and \(Z > X\), but provide no relative speed comparison between Y and Z.

Why other options are incorrect:

• Options B and C: Assume relative superiority without data.
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#4 of 6 DUHS 2024 Reconduct
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Three persons X, Y, and Z wore pants of blue, khaki, and grey colors and shirts of white, blue, and pink colors. No one wore pants and shirts of the same color.
• i. X did not wear a white shirt.
• ii. Y did not wear a blue shirt.
• iii. Z did not wear a pink shirt.
• iv. Y did not wear blue pants.
• v. Z wears khaki pants.

What were the colors of pants and shirts (respectively) worn by X?
A
Blue and pink
B
Khaki and pink
C
Green and blue
D
Khaki and white
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Matrix Deduction Puzzles.

Formula: N/A

Solution:

  • Z wears Khaki pants. Y does not wear blue pants, so Y wears Grey pants. Thus, X wears Blue pants.


  • Since X wears Blue pants, X cannot wear a Blue shirt (same color rule). X also did not wear White shirt (clue i). Therefore, X wears a Pink shirt.


X's outfit = Blue pants and Pink shirt.

Why other options are incorrect:

• Option B: Assigns khaki pants to X (which belong to Z).
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#5 of 6 DUHS 2023
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Sara is five ranks below the top student, Faiq, in a class of 50 students. What is Sara's rank from the bottom of the class?
A
5th
B
15th
C
45th
D
55th
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Inverted Order Rank Formula.

Formula: \(\text{Bottom Rank} = N - \text{Top Rank} + 1\)

Solution:

  • Top Rank of Faiq = 1. Sara's rank from top = \(1 + 5 = 6\).


  • Sara's rank from bottom = \(50 - 6 + 1 = 45\text{th}\).


Why other options are incorrect:

• Option D: Exceeds the total class size.
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#6 of 6 KMU 2022
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Five bags are lying in a pile one above the other.
• A is above B
• C is above D but below E
• D is above A

Which bag is in the middle of the pile?
A
E
B
D
C
A
D
B
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Linear Vertical Ordering.

Formula: Set up vertical stack hierarchy.

Solution:

  • 1. E is above C (E > C)


  • 2. C is above D (C > D)


  • 3. D is above A (D > A)


  • 4. A is above B (A > B)


Combined vertical stack (Top to Bottom): E, C, D, A, B. The middle bag (3rd position) is D.

Why other options are incorrect:

• Option A: E is at the top position.

• Option D: B is at the bottom position.
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