Logical Reasoning 9 Solved Past Papers 2025 to 2025 Archives

Percentages, Ratios & Unit Calculations Past Papers

Solved past paper MCQs for Percentages, Ratios & Unit Calculations 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 9 verified past paper MCQs with unbroken options, 5-column rapid answer key, and Propolis cognitive error autopsies.

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#1 of 9 BUMHS 2025
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In a certain university, 25% candidates failed university admission test. Of those who passed the test, 80% got the admission in the university. If 1800 got admission, how many candidates appeared in the test?
A
9000
B
6000
C
3000
D
5000
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Percentage Word Problems.

Formula: \(\text{Admitted} = X \times (1 - \text{Failed}\%) \times \text{Passed Admitted}\%\)

Solution:

  • Let total candidates = \(X\).


  • Passed fraction = \(100\% - 25\% = 75\% = 0.75\).


  • Admitted fraction = \(80\% \text{ of } 0.75X = 0.80 \times 0.75X = 0.60X\).


  • Set equal to given count: \(0.60X = 1800 \implies X = \frac{1800}{0.60} = 3000\).


Why other options are incorrect:

• Options A, B, and D: Result from misinterpreting percentages or dividing by wrong factors.
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#2 of 9 KMU 2025
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If five boxes of soap weigh 75 kilos and each box when empty weighs three kilos. What is the total weight of the soaps?
A
60 kg
B
15 kg
C
30 kg
D
45 kg
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Quantitative Net Weight Problems.

Formula: \(\text{Net Soap Weight} = \text{Gross Weight} - (\text{Number of Boxes} \times \text{Empty Weight per Box})\)

Solution:

  • Empty box weight = \(5 \times 3\text{ kg} = 15\text{ kg}\).


  • Soap weight = \(75\text{ kg} - 15\text{ kg} = 60\text{ kg}\).


Why other options are incorrect:

• Option B: Is the weight of the empty boxes alone.

• Option D: Incorrectly calculates box weight as 6 kg each.
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#3 of 9 KMU 2025
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A medication dose starts at 100mg and halves each day. What will be the dose on day 4?
A
12.5 mg
B
25 mg
C
30 mg
D
50 mg
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Half-life Decay.

Formula: \(A = A_0 \times \left(\frac{1}{2}\right)^{t}\)

Solution:

  • Day 1 = 100 mg


  • Day 2 = 50 mg


  • Day 3 = 25 mg


  • Day 4 = 12.5 mg


Why other options are incorrect:

• Option B: Calculates dose for Day 3.
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#4 of 9 KMU 2025
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A library has four books on shelf A, 8 books on shelf B. Some books are removed from shelf B such that both shelves now have exactly the same number of books. How many books were removed from Shelf B?
A
2 books
B
3 books
C
4 books
D
6 books
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Quantitative Equalities.

Formula: \(\text{Removed} = \text{Initial Shelf B} - \text{Target Shelf A}\)

Solution:

  • \(\text{Removed} = 8 - 4 = 4\text{ books}\).


Why other options are incorrect:

• Option A: Calculates the difference needed if books were transferred rather than simply removed.
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#5 of 9 BUMHS 2025
Permalink
In a certain university, 25% candidates failed university admission test. Of those who passed the test, 80% got the admission in the university. If 1800 got admission, how many candidates appeared in the test?
A
9000
B
6000
C
3000
D
5000
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Sequential Percentages.

Formula: \(0.80 \times 0.75 \times X = 1800\)

Solution:

  • \(0.60X = 1800 \implies X = 3000\).


Why other options are incorrect:

• Option B: Divides by 0.30 instead of 0.60.
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#6 of 9 KMU 2025
Permalink
A medication dose starts at 100mg and halves each day. What will be the dose on day 4?
A
12.5 mg
B
25 mg
C
30 mg
D
50 mg
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Half-Life Decay.

Formula: \(100 \times \left(\frac{1}{2}\right)^3 = 12.5\text{ mg}\)

Solution: Day 1: 100, Day 2: 50, Day 3: 25, Day 4: 12.5 mg.

Why other options are incorrect:

• Option B: Dose on Day 3.
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#7 of 9 KMU 2025
Permalink
A library has 4 books on Shelf A and 8 books on Shelf B. Some books are removed from Shelf B such that both shelves now have exactly the same number of books. How many books were removed from Shelf B?
A
2 books
B
3 books
C
4 books
D
6 books
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept: Direct Subtraction.

Formula: \(8 - X = 4 \implies X = 4\)

Solution: Removing 4 books leaves 4 books on Shelf B.

Why other options are incorrect:

• Option A: Leaves 6 books.
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#8 of 9 KMU 2025
Permalink
If 5 boxes of soap weigh 75 kilos and each box when empty weighs 3 kilos. What is total weight of the soaps?
A
15
B
30
C
45
D
60
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept: Net Weight Computation.

Formula: \(75 - (5 \times 3) = 60\text{ kg}\)

Solution: Gross weight (75) minus box weight (15) = 60 kg.

Why other options are incorrect:

• Option A: Weight of empty boxes.
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#9 of 9 UHS 2025
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Asad bought 50 packets of biscuits for the price of Rs. 500; whereas Anum bought 25 packets of chips for the price of Rs.1000. While comparing the prices of packets of biscuits and packet of chips, which of the following statements is correct?
A
Price of 4 packets of biscuits is equal to the price of 1 packet of chips
B
Price of 1 packet of biscuits is equal to the price of 4 packets of chips
C
Price of 2 packets of biscuits is equal to the price of 1 packet of chips
D
Price of 1 packet of biscuits is equal to the price of 2 packets of chips
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept: Ratio and Unit Price.

Formula: \(4 \times 10 = 40\)

Solution: Biscuit pack = Rs. 10, Chips pack = Rs. 40. Thus, 4 biscuit packs equal 1 chips pack.

Why other options are incorrect:

• Option B: Reverses the pricing.
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