Logical Reasoning 6 Solved Past Papers 2024 to 2025 Archives

Number Series & Numerical Progressions Past Papers

Solved past paper MCQs for Number Series & Numerical Progressions from official UHS, NUMS, SZABMU, DUHS, and KMU examinations. Includes verified distractor autopsies and step-by-step cognitive explanations.

Boards Included: DUHS KMU UHS
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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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Consider the sequence: 64, 32, 16, 8. What is the 10th term of the sequence?
A
2
B
4
C
1/4
D
1/8
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Geometric Sequence Term Calculation.

Formula: \(a_n = a_1 \times r^{n-1}\)

Solution:

  • First term \(a_1 = 64\), Common ratio \(r = \frac{1}{2}\)


  • \(a_{10} = 64 \times \left(\frac{1}{2}\right)^{9} = 64 \times \frac{1}{512} = \frac{1}{8}\)


Why other options are incorrect:

• Option A: Is the 6th term (2).

• Option C: Is the 9th term (1/4).
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#2 of 6 KMU 2025
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Which number comes in a missing place? 200, 180, 162, 146, 132, ____ .
A
118
B
120
C
122
D
126
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Subtraction Series with Decrements.

Formula: \(T_n = T_{n-1} - \text{Step}\)

Solution:

  • \(200 - 20 = 180\)


  • \(180 - 18 = 162\)


  • \(162 - 16 = 146\)


  • \(146 - 14 = 132\)


  • \(132 - 12 = 120\)


Why other options are incorrect:

• Options A, C, and D: Result from subtracting incorrect values (e.g., subtracting 14 again gives 118).
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#3 of 6 KMU 2025
Permalink
Which number comes in the missing place? 200, 180, 162, 146, 132, ?
A
118
B
120
C
122
D
126
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Variable Subtraction.

Formula: \(132 - 12 = 120\)

Solution: Subtractions reduce by 2 each time (20, 18, 16, 14, 12).

Why other options are incorrect:

• Option A: Subtracts 14 again.
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#4 of 6 KMU 2025
Permalink
Consider the sequence: 64, 32, 16, 8, ... What is the 10th term of this sequence?
A
2
B
4
C
1/8
D
1/4
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Geometric Series.

Formula: \(64 / 2^{9} = 1/8\)

Solution: 10th term = 1/8.

Why other options are incorrect:

• Option D: 9th term.
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#5 of 6 UHS 2025
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The virus spreads rapidly in the town. It infected the people - First day: 8, Second day: 16, Third day: 32. What will be the number of people infected on the next day?
A
44 people
B
56 people
C
64 people
D
74 people
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Doubling Progression.

Formula: \(32 \times 2 = 64\)

Solution: 64 people infected on Day 4.

Why other options are incorrect:

• Option A: Adds linear step instead of doubling.
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#6 of 6 DUHS 2024
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Look at the numbers below. Identify the pattern and logically deduce the correct option that should follow:

1, 4, 9, 16, _
A
54
B
36
C
49
D
25
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Perfect Squares Series.

Formula: \(T_n = n^2\)

Solution: \(1^2, 2^2, 3^2, 4^2 \implies 5^2 = 25\).

Why other options are incorrect:

• Option B: Is \(6^2\).
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