1208.The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is#
Accountants 2022Junior Engineers (Civil) and 04 Posts of Junior Engi 2021asked 2×
- A55%
- B33%
- C22%
- D44%
Mensuration — PPSC previous year questions
All 16 Mensuration questions the Punjab PSC asked between 2019 and 2025, each with a worked answer and the exam it came from. First 10 free to read.
- Questions
- 16
- Years covered
- 2019–2025
- Papers
- 17
- Repeated
- 1
1 of these 16 were set in more than one exam — the Commission reuses this topic, which is the argument for working through it rather than skimming it.
The 10 it asks most
Free to read, with the worked answer and the exam each one came from. The book prints this topic in the order the Commission favours, so these are the ones to know first.
1209.Akshay has a big drum for storing milk. The radius of the drum is 80 cm while its height is 1.5 metres. Initially, the drum is empty. He wants to fill up the drum up to 80% of its height by pouring milk from a bucket with radius 20 cm and height 30 cm. Every time he pours the milk in the drum, 10% of the milk is spilled out of the bucket and is wasted. Approximately how many buckets will he need to fill in the drum ?#
Punjab Civil Services (Prelims) — CSAT 2025
- A74
- B73
- C71
- D69
1210.The formula E=√(a/6) describes the relationship between the length of the edge 'E' of a cube and the surface area 'a' of the cube. How much longer is the edge of a cube with a surface area of 1350 than the edge of one with a surface area of 600?#
Remote Sensing and Geographic Information System Officer (Group-B) 2025
- A5
- B15
- C150
- D250
1211.A bug and a housefly are resting at one corner of a cubical room with 3 m long sides. Both of them see a prey located at the diagonally opposite corner of the room at the same time and immediately start running/flying towards it. While the bug has to move on the floor or the walls and cannot fly, there is no such restriction for the housefly. Based on this information, and the assumption that they take up the shortest possible routes, which of the following statements is definitely correct ?#
Junior Auditor (Group B) 2024
- AThe housefly reaches the prey first irrespective of its flying speed.
- BIrrespective of the moving/flying speed, both have to travel a distance of over 5 m.
- CIf the bug moves at 3 m/s and the housefly flies at 1 m/s, both of them reach the prey at the same time.
- DWith equal flying and moving speeds, the fly will be able to catch the prey and come back to its original position, while the bug will not even be able to reach the original position of the prey (the diagonally opposite corner) in the same time.
1212.A wire of length L can be used to make 12 squares of side 4cm each, with no wire remaining. (The wire makes the perimeters of the squares). How many rectangles of dimensions 5cm X 1cm can be made using the same wire, with no wire remaining?#
District Manager (Group-B) in Punjab State Warehousing Corporation Under the Dep 2024
- A8
- B12
- C16
- D18
1213.Pikachu loves to eat balls of berry jam. Ash feeds it 20 spherical balls of diameter 2 cm each day. One day, Ash feeds it jam cubes of side 1 cm each, such that Pikachu gets the same amount of berry jam as it used to get on any other day (as nearly as possible). How many cubes of berry jam was Pikachu fed that day?#
District Social Security Officer (Group-B) 2024Superintendent Home (Group-B) 2024
- A20
- B42
- C168
- D84
1214.Some clay is available using which 9 solid spheres of radius r can be made, with no clay remaining. How many right-circular cylinders with radius of the base = r and height = diameter of the base, can be made using the same amount of clay, with no clay remaining?#
Principal, Industrial Training Institute (Women) 2024
- A9
- B12
- C4
- D6
1215.A skating champion moves along the circumference of a circle of radius 21 meters in 44 seconds. How many seconds will it take her to move along the perimeter of a hexagon of side 42 meters ?#
Naib Tehsildar 2023
- A56
- B84
- C64
- D58
1216.A square has four sides of equal length. If the perimeter of the square is 32 cm, what is the length of one side?#
District Defence Services Welfare Officer 2023
- A4 cm
- B8 cm
- C16 cm
- D64 cm
1217.C is a circle with radius r > 0. Then#
Naib Tehsildar 2023
- Athe circumference of C can never be equal to its area
- Bthe area of C is definitely greater than its circumference
- Cthe area of C is definitely greater than its circumference except if r < 1
- Dthe area of C is definitely greater than its circumference except if r ≤ 2
Solutions
10 answers · same numbers1208.(D) 44%
If each side grows by 20%, the new area is 1.2 × 1.2 = 1.44 times the old area, an increase of 44%. > New area = (1.2l)(1.2b) = 1.44 lb > Increase = 44% Shortcut: a + b + ab/100 = 20 + 20 + 4 = 44%.
1209.(C) 71
Work everything in cubic centimetres. > Milk wanted = π × 80² × 120 = 768000π > One bucket holds π × 20² × 30 = 12000π, but only 90% of it reaches the drum = 10800π > 768000 ÷ 10800 = 71.1 He needs about 71 buckets.
1210.(A) 5
Apply E = sqrt(a/6) to each cube. > a = 1350: E = sqrt(1350/6) = sqrt(225) = 15 > a = 600: E = sqrt(600/6) = sqrt(100) = 10 > Difference = 15 − 10 = 5. The formula follows from a cube's surface area being 6E².
1211.(B) Irrespective of the moving/flying speed, both have to travel a distance of over 5 m.
The housefly takes the space diagonal. The bug's shortest surface route unfolds two faces into a 3 m × 6 m rectangle. > Fly: sqrt(3² + 3² + 3²) = 3·sqrt(3) ≈ 5.20 m > Bug: sqrt(3² + 6²) = sqrt(45) ≈ 6.71 m Both distances exceed 5 m whatever the speeds, so (b) is definitely correct. (a) fails if the fly is slow enough. (c) gives 6.71/3 ≈ 2.24 s for the bug against 5.20 s for the fly. (d) fails because at equal speeds the fly's round trip of 10.39 m takes longer than the bug's 6.71 m.
1212.(C) 16
Length of the wire = 12 squares × perimeter 16 cm = 192 cm. Each 5 cm × 1 cm rectangle has perimeter 2(5 + 1) = 12 cm. > Number of rectangles = 192 ÷ 12 = 16 So 16 rectangles use the wire exactly.
1213.(D) 84
One jam ball has radius 1 cm. Volume = (4/3)π r³ = (4/3) × 3.14 × 1 ≈ 4.19 cm³. > Daily jam = 20 × 4.19 ≈ 83.8 cm³ > Each cube of side 1 cm = 1 cm³ > Cubes needed ≈ 83.8 → 84 (nearest whole number) So Pikachu was fed about 84 cubes of jam that day.
1214.(D) 6
> Clay = 9 spheres = 9 × (4/3)πr³ = 12πr³ > One cylinder: height = 2r, so volume = πr² × 2r = 2πr³ > Number of cylinders = 12πr³ ÷ 2πr³ = 6 The same clay makes 6 cylinders.
1215.(B) 84
First find the speed from the circumference of the circle, then apply it to the perimeter of the hexagon. > Circumference of the circle = 2 × (22/7) × 21 = 132 metres → speed = 132/44 = 3 metres/second > Perimeter of the hexagon = 6 × 42 = 252 metres > Time = 252/3 = 84 seconds
1216.(B) 8 cm
> Perimeter of square = 4 x side > side = 32 / 4 = 8 Each side of the square is 8 cm.
1217.(D) the area of C is definitely greater than its circumference except if r ≤ 2
Circumference = 2πr and area = πr²; πr² > 2πr only when r > 2. At r = 2 the two become equal (4π) and at r < 2 the area is smaller than the circumference (for example r = 1: area π, circumference 2π). So the area is greater than the circumference except when r ≤ 2. (a) is wrong because at r = 2 the two are equal; (b) and (c) are proved wrong for r = 1.5 (area 2.25π < circumference 3π).
6 more Mensuration questions in the book
You have read the ten the Commission asks most. The rest of this topic — and all 4,239 questions across the book, each with a worked solution — come with either edition.
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See the printed book →Common questions about Mensuration in PPSC
How many Mensuration questions come in PPSC exams?
The Commission set 16 Mensuration questions across 17 papers between 2019–2025. That is the whole set, not a sample — every one of them is in the book, and the 10 most-asked are on this page free.
Are PPSC Mensuration questions repeated?
Yes. 1 of these 16 were set in more than one exam, which is why they are worth working rather than reading. Each question here carries a badge showing how many sittings asked it.
Where can I get Mensuration MCQs with answers and solutions?
Here. Every question on this page is a solved MCQ: the four options as printed, the correct answer, and a worked explanation in plain English — not just a letter. The rest of the 16 are in the book, in the same form.
Can I practice these Mensuration questions online?
Switch to Attempt mode at the top of the questions. You get one question at a time and it is marked the moment you pick an option, with the reason underneath — the same way the exam feels, on your phone.
Is a PDF available?
The questions are on screen rather than in a downloadable file, so they stay current and correct. The printed book has all 16 of these plus the rest of the Reasoning & Aptitude section, and every buyer gets the whole thing online as well.
Which papers asked Mensuration
The exams behind these questions, most first. A paper here is a sitting: a question set in two papers of the same sitting counts once.
| Exam | Year | Questions |
|---|---|---|
| Naib Tehsildar | 2023 | 2 |
| Assistant Director Assistant Controller of Stores St | 2022 | 2 |
| Remote Sensing and Geographic Information System Officer (Group-B) | 2025 | 1 |
| Punjab Civil Services (Prelims) — CSAT | 2025 | 1 |
| Superintendent Home (Group-B) | 2024 | 1 |
| District Social Security Officer (Group-B) | 2024 | 1 |
| Principal, Industrial Training Institute (Women) | 2024 | 1 |
| Junior Auditor (Group B) | 2024 | 1 |
| District Manager (Group-B) in Punjab State Warehousing Corporation Under the Dep | 2024 | 1 |
| District Defence Services Welfare Officer | 2023 | 1 |
| Assistant Town Planner (Group A) | 2023 | 1 |
| Assistant District Attorney (Group-B) | 2022 | 1 |