14 past paper MCQs from Logical Reasoning unit 4,
Logical Problems, across 1 topic. They are arranged topic by topic; bigger topics show a
sample here and link to their full set and to study notes. Tap “Show answer” for the correct option and a short solution.
1.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? (UHS MDCAT 2025)
200
50
400
100
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Correct answer: (c) 400
Two hundred people need forty pies, and forty pies cut into ten slices give four hundred.
2.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 (UHS MDCAT 2025)
i is enough
ii is enough
both I and II are needed
neither i or ii are sufficient
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Correct answer: (c) both I and II are needed
The second says how many trees Ibrahim looks after and the first says that is half of them, so both are needed.
3.P and Q are M's parents. M and N are siblings. Q is N's mother. What is P to M? (UHS MDCAT 2025)
Mother
Father
Sister
Brother
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Correct answer: (b) Father
Q is the mother of both children, so P is the father.
4.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? (UHS MDCAT 2025)
Price of 4 packets of biscuits is equal to the price of 1 packet of chips
Price of 1 packet of biscuits is equal to the price of 4 packets of chips
Price of 2 packets of biscuits is equal to the price of 1 packet of chips
Price of 1 packet of biscuits is equal to the price of 2 packets of chips
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Correct answer: (a) Price of 4 packets of biscuits is equal to the price of 1 packet of chips
A biscuit packet costs ten rupees and a chip packet forty, so four packets of biscuits match one of chips.
5.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? (KMU MDCAT 2025)
1
2
3
4
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Correct answer: (d) 4
Shelf B must come down from eight to four, so four books are taken off.
6.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? (KMU MDCAT 2025)
27
28
30
32
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Correct answer: (b) 28
Seven students below Bilal put him 39th, and between 10th and 39th there are 28 students.
7.How is Ali related to Mustafa? If Ali says, "Mustafa's mother is the only child of my grandmother." (KMU MDCAT 2025)
Brother
Cousin
Uncle
Father
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Correct answer: (a) Brother
The grandmother’s only child is the parent of both boys, so they are brothers.
8.A father is 5 years older than twice his son's age. If the son is 12, what is the father's age? (KMU MDCAT 2025)
28 years
29 years
30 years
32 years
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Correct answer: (b) 29 years
Twice twelve is twenty-four, and five more is twenty-nine.
9.If 5 boxes of soap weigh 75 kilos and each box when empty weighs 3 kilos. What is total weight of the soaps? (KMU MDCAT 2025)
15
30
45
60
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Correct answer: (d) 60
Five empty boxes weigh 15 kilos, so the soap is 75 less 15, that is 60 kilos.
10.In a row of students, a student is at 13th position from the left end and 20th position from the right end. How many students are there in the row? (SZABMU MDCAT 2025)
30
31
32
33
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Correct answer: (c) 32
Twelve stand to the left and nineteen to the right, so with the student there are 32 in all.
11.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? (KMU MDCAT 2024)
Rs. 490
Rs. 495
Rs. 500
Rs. 505
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Correct answer: (c) Rs. 500
The discounted price is nine tenths of the original, and $450/0.9$ is $500$.
12.I went 10m to the East from my house, then turned north and walked another 15m, and then I turned west and covered 12m, and then turned south and covered 15m. How far am I from my house? (KMU MDCAT 2024)
0 m
1 m
2 m
3 m
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Correct answer: (c) 2 m
The northward and southward legs cancel, leaving $12-10$, that is $2\,\mathrm{m}$ to the west.
13.Read the following and choose the correct answer: “X, Y and Z are three whole numbers less than 24 but greater than 11. X is the smallest prime number. Y is the largest number divisible by 3. Z is the samallest number divisible by 11”? (SZABMU MDCAT 2023)
X is 13, Y is 24, Z is 11.
X is 13, Y is 21, Z is 22.
X is 11, Y is 21, Z is 11.
X is 11, Y is 24, Z is 22.
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Correct answer: (b) X is 13, Y is 21, Z is 22.
Between 11 and 24 the smallest prime is 13, the largest multiple of 3 is 21 and the smallest multiple of 11 is 22.
14.Read the following and choose the correct answer: “X, Y and Z are three whole numbers less than 31 but greater than 23. X is a prime number. Y is the largest odd number smaller than 35. Z is the smallest even number? (UHS MDCAT 2023)
X is 31, Y is 29 and Z is 24.
X is 29, Y is 29 and Z is 24.
X is 23, Y is 29 and Z is 24.
X is 27, Y is 31 and Z is 26.
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Correct answer: (b) X is 29, Y is 29 and Z is 24.
Between 23 and 31 the prime is 29, the largest odd is 29 and the smallest even is 24.