#1 of 19
Balochistan MDCAT 2025
[Balochistan MDCAT 2025]
If a person earns Rs. 1000 in the first week and their income doubles each week, how much will they earn in the 4th week?
View Answer & Propolis Autopsy
Correct Key: Option D
Diagnostic Explanation
Concept: Geometric Progression.
Formula: \(T_n = a \times r^{(n-1)}\)
Solution:- Week 1 (\(a\)) = Rs. 1000
- Week 2 = \(1000 \times 2 = \text{Rs. } 2000\)
- Week 3 = \(2000 \times 2 = \text{Rs. } 4000\)
- Week 4 = \(4000 \times 2 = \text{Rs. } 8000\)
Why other options are incorrect:•
Option A: Incorrectly calculates for the 3rd week.
•
Option C: Incorrectly calculates for the 5th week.
#2 of 19
Balochistan MDCAT 2025
[Balochistan MDCAT 2025]
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?
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.
[KPK MDCAT 2025]
If five boxes of soap weigh 75 kilos and each box when empty weighs three kilos. What is the total weight of the soaps?
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.
[KPK MDCAT 2025]
A medication dose starts at 100mg and halves each day. What will be the dose on day 4?
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.
[KPK MDCAT 2025]
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?
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.
#6 of 19
Punjab MDCAT 2025
[Punjab MDCAT 2025]
One apple pie has 10 slices, and each apple pie feeds five people. Henry is having a party with 200 people. How many slices of pie does he need?
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Proportional Ratios.
Formula: \(\text{Slices} = \left(\frac{\text{People}}{\text{People per pie}}\right) \times \text{Slices per pie}\)
Solution:- Pies needed = \(\frac{200}{5} = 40\text{ pies}\).
- Total slices = \(40 \times 10 = 400\text{ slices}\).
Why other options are incorrect:•
Option A: Incorrectly assumes 1 slice per person.
#7 of 19
Punjab MDCAT 2025
[Punjab MDCAT 2025]
How many trees are in the orchard?
Which of the statements below are needed to sufficiently answer this question?
i. Ibrahim is a farmer and looks after half of the trees in the orchard.
ii. 300 trees in the orchard are under Ibrahim’s care.
C
both i and ii are needed
D
neither i nor ii are sufficient
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Data Sufficiency.
Formula: \(\text{Total} = \frac{\text{Known Count}}{\text{Fraction}}\)
Solution:- Statement (i) gives the fraction (\(1/2\)).
- Statement (ii) gives the exact count (\(300\)).
- Combined: \(\text{Total} = \frac{300}{0.5} = 600\text{ trees}\). Both statements are necessary.
Why other options are incorrect:•
Options A and B: Neither statement alone provides both fraction and absolute number.
#8 of 19
Punjab MDCAT 2025
[Punjab MDCAT 2025]
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 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: Unit Cost Comparison.
Formula: \(\text{Unit Price} = \frac{\text{Total Cost}}{\text{Quantity}}\)
Solution:- 1 biscuit pack = \(\frac{500}{50} = \text{Rs. } 10\).
- 1 chips pack = \(\frac{1000}{25} = \text{Rs. } 40\).
- \(4 \times 10 = 40\) \(\implies\) Price of 4 biscuit packs = Price of 1 chips pack.
Why other options are incorrect:•
Option B: Inverts the relationship ratio.
#9 of 19
Sindh MDCAT 2025
[Sindh MDCAT 2025]
A tank can hold 240 L of water. Currently, water is filled to one-third of its capacity.
How much more water can it hold?
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Fractional Capacity Calculations.
Formula: \(\text{Remaining Volume} = V_{\text{total}} \times \left(1 - \frac{1}{3}\right) = V_{\text{total}} \times \frac{2}{3}\)
Solution:- Filled volume = \(240 \times \frac{1}{3} = 80\text{ L}\).
- Remaining capacity = \(240 - 80 = 160\text{ L}\).
Why other options are incorrect:•
Option B: Is the volume
currently filled, not the remaining capacity.
[BUMHS 2025]
If a person earns Rs. 1000 in the first week and their income doubles each week, how much will they earn in the 4th week?
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Doubling Progression.
Formula: \(a_n = a_1 \times 2^{n-1}\)
Solution:- Week 1 = Rs. 1000
- Week 4 = \(1000 \times 2^3 = 1000 \times 8 = \text{Rs. } 8000\).
Why other options are incorrect:•
Option D: Calculates Week 5 earnings.
[BUMHS 2025]
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?
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.
[DUHS 2025]
A tank can hold 240 L of water. Currently, water is filled to one-third of its capacity. How much more water can it hold?
View Answer & Propolis Autopsy
Correct Key: Option D
Diagnostic Explanation
Concept: Subtraction of Volume.
Formula: \(240 - \left(\frac{240}{3}\right) = 160\text{ L}\)
Solution: \(240 - 80 = 160\text{ L}\).
Why other options are incorrect:
• Option B: Represents filled water.
[KMU 2025]
A medication dose starts at 100mg and halves each day. What will be the dose on day 4?
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.
[KMU 2025]
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?
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.
[KMU 2025]
If 5 boxes of soap weigh 75 kilos and each box when empty weighs 3 kilos. What is total weight of the soaps?
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.
[UHS 2025]
One apple pie has 10 slices, and each apple pie feeds five people. Henry is having a party with 200 people. How many slices of pie does he need?
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Proportional Calculations.
Formula: \(\left(\frac{200}{5}\right) \times 10 = 400\)
Solution: 40 pies \(\times\) 10 slices = 400 slices.
Why other options are incorrect:
• Option A: Assumes 1 slice per person.
[UHS 2025]
How many trees are in the orchard?
Which of the statements below are needed to sufficiently answer this question:
i. Ibrahim is a farmer and looks after half of the trees in the orchard
ii. 300 trees in the orchard are under Ibrahim's care
C
both i and ii are needed
D
neither i or ii are sufficient
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Data Sufficiency Logic.
Formula: \(\text{Total} = \frac{300}{0.5} = 600\)
Solution: Fraction (i) and count (ii) together yield the total count.
Why other options are incorrect:
• Options A and B: Incomplete data individually.
[UHS 2025]
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.
#19 of 19
KPK MDCAT 2024 / KMU 2024
[KPK MDCAT 2024 / KMU 2024]
A store offers a 10% discount on all items. After applying the discount, the price of an item is Rs. 450. What was the original price of the item?
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Reverse Percentage Discount Calculation.
Formula: \(\text{Original Price} = \frac{\text{Discounted Price}}{1 - d}\)
Solution:- \(0.90 \times P_{\text{orig}} = 450 \implies P_{\text{orig}} = \frac{450}{0.90} = \text{Rs. } 500\).
Why other options are incorrect:•
Option B: Simply adds 10% of 450 (45) to get 495, which is mathematically incorrect.
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