Logical Reasoning 17 Solved Past Papers 2022 – 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.

Boards Included: KMU MDCAT NUMS SZABMU UHS
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#1 of 17 Federal MDCAT 2025
[Federal MDCAT 2025]

In a row of students, a student is at 13th position from the left end and at 20th position from the right end. How many students are there in the row?
A
30
B
32
C
31
D
33
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Linear Ranking and Position.

Formula: \(\text{Total} = (\text{Left Position}) + (\text{Right Position}) - 1\)

Solution:

  • \(\text{Total} = 13 + 20 - 1 = 32\).


Why other options are incorrect:

• Option C: Forgets to subtract 1 to account for double-counting the student.
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#2 of 17 Federal MDCAT 2025
[Federal MDCAT 2025]

A is older than B but younger than F. C is younger than B but older than D. Who is the youngest of them?
A
A
B
B
C
C
D
D
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Relative Inequality Ranking.

Formula: Set up transitive inequalities.

Solution:

  • Statement 1: \(F > A > B\)


  • Statement 2: \(B > C > D\)


  • Combined chain: \(F > A > B > C > D\)


D is clearly the youngest.

Why other options are incorrect:

• Options A, B, and C: Occupy higher positions in the age hierarchy.
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#3 of 17 KPK MDCAT 2025
[KPK MDCAT 2025]

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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#4 of 17 NUMS 2025
In a row of students, a student is at 13th position from the left end and at 20th position from the right end. How many students are there in the row?
A
30
B
31
C
32
D
33
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Single-element Overlap Calculation.

Formula: \(N = L + R - 1\)

Solution:

  • \(N = 13 + 20 - 1 = 32\).


Why other options are incorrect:

• Option D: Adds 1 instead of subtracting.
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#5 of 17 NUMS 2025
A is older than B but younger than F. C is younger than B but older than D. Who is the youngest of them?
A
A
B
B
C
C
D
D
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Linear Order Deductions.

Formula: N/A

Solution: \(F > A > B > C > D\). D is at the lowest position.

Why other options are incorrect:

• Option C: C is older than D.
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#6 of 17 Sindh MDCAT 2025
[Sindh MDCAT 2025]

If Amna is older than Muneeb, and Muneeb is younger than Jaffar, then Amna is:
A
Older than Jaffar
B
Younger than Jaffar
C
Same age as Jaffar
D
Not enough information to say
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Indeterminate Inequalities.

Formula: \(A > M\) and \(J > M\).

Solution: Knowing that both Amna and Jaffar are older than Muneeb provides no comparison between Amna and Jaffar.

Why other options are incorrect:

• Options A, B, and C: Assume specific relationships without supporting premises.
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#7 of 17 DUHS 2025
[DUHS 2025]

If Amna is older than Muneeb, and Muneeb is younger than Jaffar, then Amna is:
A
Older than Jaffar
B
Younger than Jaffar
C
Same age as Jaffar
D
Not enough information to say
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Inequality Transitivity Limitations.

Formula: N/A

Solution: Both Amna and Jaffar are older than Muneeb, but no relationship between Amna and Jaffar is defined.

Why other options are incorrect:

• Options A, B, and C: Introduce unstated assumptions.
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#8 of 17 KMU 2025
[KMU 2025]

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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#9 of 17 SZABMU 2025
[SZABMU 2025]

In a row of students, a student is at 13th position from the left end and at 20th position from the right end. How many students are there in the row?
A
30
B
31
C
32
D
33
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Total Row Count.

Formula: \(13 + 20 - 1 = 32\)

Solution: Total students = 32.

Why other options are incorrect:

• Option D: Double-counts the target student.
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#10 of 17 SZABMU 2025
[SZABMU 2025]

A is older than B but younger than F. C is younger than B but older than D. Who is the youngest of them?
A
A
B
B
C
C
D
D
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Transitive Inequality Chains.

Formula: \(F > A > B > C > D\)

Solution: D is the youngest.

Why other options are incorrect:

• Option C: C is older than D.
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#11 of 17 Balochistan MDCAT 2024 / BUMHS 2024
[Balochistan MDCAT 2024 / BUMHS 2024]

If the first two statements are true, the third statement is:
I. Maria runs faster than Amna.
II. Laiba runs faster than Maria.
III. Amna runs faster than Laiba.
A
True
B
False
C
Uncertain
D
None of these
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Transitive Inequality Consistency.

Formula: \(\text{Laiba} > \text{Maria} > \text{Amna}\)

Solution: Statement I and II establish Laiba as the fastest and Amna as the slowest. Statement III claims Amna is faster than Laiba, which directly contradicts the chain and is False.

Why other options are incorrect:

• Option A: Directly contradicts the mathematical sequence.
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#12 of 17 FMDC 2024 / SZABMU 2024
[FMDC 2024 / SZABMU 2024]

The high school maths department needs to appoint a new chairperson on the basis of seniority.
• Ms. Madiha is less senior than Mr. Tanvir but more than Ms. Aiyza.
• Mr. Rehan is more senior than Ms. Madiha but less than Mr. Tanvir.
• Mr. Tanvir doesn't want the job.

Who will be the new chairperson of the maths department?
A
Mr. Rehan
B
Mr. Tanvir
C
Ms. Aiyza
D
Ms. Madiha
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Positional Ranking Order.

Formula: \(\text{Seniority Order: } \text{Tanvir} > \text{Rehan} > \text{Madiha} > \text{Aiyza}\)

Solution: Since Mr. Tanvir declines the appointment, the next eligible person in seniority order is Mr. Rehan.

Why other options are incorrect:

• Options C and D: Are less senior than Mr. Rehan.
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#13 of 17 KPK MDCAT 2024 / KMU 2024
[KPK MDCAT 2024 / KMU 2024]

If \(a > b\), \(b > c\), and \(d > a\), then:
A
b < d
B
a < c
C
b > d
D
c > d
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Inequality Chains.

Formula: \(d > a > b > c\)

Solution: Chain confirms \(d > b\), which is identical to \(b < d\).

Why other options are incorrect:

• Option B: Contradicts \(a > c\).
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#14 of 17 Sindh MDCAT Reconduct 2024
[Sindh MDCAT Reconduct 2024]

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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#15 of 17 Sindh MDCAT 2023
[Sindh MDCAT 2023]

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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#16 of 17 KPK MDCAT / KMU 2022
[KPK MDCAT / KMU 2022]

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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#17 of 17 Punjab MDCAT / UHS 2022
[Punjab MDCAT / UHS 2022]

Drake was wearing a blue shirt with black jeans and brown shoes. John was wearing a red shirt with black jeans and black shoes. Ahmad was wearing black jeans, a blue or red shirt, and shoes that were not black.

Who copied Drake?
A
Ahmad
B
John
C
Drake
D
Cannot elicit from given information
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Feature Matching Logic.

Formula: N/A

Solution: Drake's unique distinguishing feature is non-black (brown) shoes combined with black jeans. Ahmad's description explicitly specifies wearing non-black shoes and black jeans, matching Drake's specific outfit combination.

Why other options are incorrect:

• Option B: John wore all-black footwear.
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