Logical Reasoning 6 Solved Past Papers 2023 – 2025 Archives

Word Problems on Ages Past Papers

Solved past paper MCQs for Word Problems on Ages from official UHS, NUMS, SZABMU, DUHS, and KMU examinations. Includes verified distractor autopsies and step-by-step cognitive explanations.

Boards Included: BUMHS KMU MDCAT
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#1 of 6 Balochistan MDCAT 2025
[Balochistan MDCAT 2025]

The age of a man is twice that of his daughter. If the man is 36 years old, what was the daughter’s age 4 years ago?
A
14 years
B
18 years
C
20 years
D
10 years
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Quantitative Reasoning – Word Problems on Ages.

Formula: \(\text{Daughter's Present Age} = \frac{\text{Father's Present Age}}{2}\)

Solution:

  • Current age of the father = \(36\) years.


  • Current age of the daughter = \(\frac{36}{2} = 18\) years.


  • Daughter's age 4 years ago = \(18 - 4 = 14\) years.


Why other options are incorrect:

• Option B: Represents her current age, not her age 4 years ago.

• Options C and D: Result from incorrect addition or subtraction steps.
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#2 of 6 KPK MDCAT 2025
[KPK MDCAT 2025]

A father is 5 years older than twice his son's age. If the son is 12, what is the father's age?
A
28 years
B
29 years
C
30 years
D
32 years
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Algebraic Linear Formulation.

Formula: \(\text{Father} = 2 \times (\text{Son}) + 5\)

Solution:

  • \(\text{Father} = 2(12) + 5 = 24 + 5 = 29\text{ years}\).


Why other options are incorrect:

• Option C: Calculates \(2(12) + 6 = 30\).
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#3 of 6 BUMHS 2025
[BUMHS 2025]

The age of a man is twice that of his daughter. If the man is 36 years old, what was the daughter's age 4 years ago?
A
14 years
B
18 years
C
20 years
D
10 years
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Linear Age Equations.

Formula: \(\text{Past Age} = \frac{\text{Father's Age}}{2} - 4\)

Solution:

  • Daughter's present age = \(\frac{36}{2} = 18\) years.


  • Age 4 years ago = \(18 - 4 = 14\) years.


Why other options are incorrect:

• Option B: Is the present age.
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#4 of 6 KMU 2025
[KMU 2025]

A father is 5 years older than twice his son's age. If the son is 12, what is the father's age?
A
28 years
B
29 years
C
30 years
D
32 years
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept: Linear Age Formulation.

Formula: \(2(12) + 5 = 29\)

Solution: Father = 29 years old.

Why other options are incorrect:

• Option A: Omits the 5-year addition.
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#5 of 6 Sindh MDCAT 2023
[Sindh MDCAT 2023]

Essa is younger than Moosa.

Let \(X\) = Twice Essa's age
Let \(Y\) = Moosa's age

Which of the following is true?
A
X > Y
B
Y > X
C
X = Y
D
The relationship cannot be determined
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Algebraic Inequality Indeterminacy.

Formula: \(E < M\)

Solution: Doubling \(E\) can make \(2E > M\), \(2E = M\), or \(2E < M\) depending on exact numbers (e.g. if \(E=3, M=10\) vs \(E=8, M=10\)). Thus, relationship is indeterminate.

Why other options are incorrect:

• Options A, B, and C: Assume specific numeric values.
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#6 of 6 Sindh MDCAT 2023
[Sindh MDCAT 2023]

In 5 years, Sarah will be 18. How old is she now?
A
13
B
14
C
15
D
16
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Simple Age Algebra.

Formula: \(\text{Current Age} = 18 - 5\)

Solution: Current age = 13.

Why other options are incorrect:

• Options B, C, and D: Incorrect subtraction.
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Percentages, Ratios & Unit Calculations
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