Mensuration Questions for Delhi Police Constable, Download Free PDF

Have you ever felt difficulty solving questions related to the figures given below?

If yes, then you are going to lose 1-2 marks in the Delhi Police Constable exam. Mensuration is one of the most important and marks scoring topics of the exam. The best part is that SSC asks direct and formula-based questions. If you are familiar with the concept, have learned all formulas, then you can easily solve these questions. Let’s make it simpler for you. In this blog, we’ve provided exam-level Mensuration questions for the Delhi Police Constable exam in a free downloadable PDF. But before you download it, take a few free Mensuration tests to analyze your understanding of this topic.

Concept of Mensuration for Delhi Police Constable

Mensuration is a mathematical concept that deals with the measurement of figures and shapes, such as length, width, height, area, perimeter, etc.

Formulas of Mensuration For 2D Shapes:

Rectangle:

• Area of a Rectangle = Length × Breadth.
• Perimeter of a Rectangle = 2 × (Length + Breadth)
• Length of the Diagonal = √(Length² + Breadth²)

Square:

• Area of a Square = Length × Length = (Length)²
• Perimeter of a square = 4 × Length
• Length of the Diagonal = √2 × Length

Parallelogram:

• Area of a Parallelogram = Length × Height
• Perimeter of a Parallelogram = 2 × (Length + Breadth)

Triangle:

• Area of a triangle=(1/2)(Base × Height)

For a triangle with sides measuring a, b and c, respectively:

• Perimeter = a + b + c
• s = semi perimeter = perimeter/2 =  (a+b+c)/2
• Area of Triangle,

Trapezium:

• Area of a trapezium = (1/2) × (sum of parallel sides) × (distance between parallel sides)
  = (1/2) × (AB+DC) × AE
• Perimeter of a Trapezium = Sum of All Sides

Rhombus:

• Area of a rhombus=(1/2)×Product of diagonals
• Perimeter of a rhombus = 4 × l

Mensuration Formulas For 3D Shapes

Shape	Volume (Cubic units)	Curved Surface Area (CSA) or Lateral Surface Area (LSA) (Square units)	Total Surface Area (TSA) (Square units)
Cube	a3	LSA = 4 a2	6 a2
Cuboid	l × b × h	LSA = 2h (l + b)	2 (lb +bh +hl)
Sphere	(4/3) π r3	4 π r2	4 π r2
Hemisphere	(⅔) π r3	2 π r2	3 π r2
Cylinder	π r2 h	2π r h	2πrh + 2πr2
Cone	(⅓) π r2 h	π r l	πr (r + l)

Mensuration Questions for Delhi Police Constable PDF, Download for Free

The questions SSC asks in the Mensuration section are direct-substitution problems. If you know the formula and have a good understanding of the question, then you can solve it immediately. They are the perfect type of question that can save you time for other time-consuming sections. To help you master these quick facts, we have provided a PDF containing the most important and frequently asked Mensuration questions for the exam. Click on the button given below to download the Mensuration Questions for Delhi Police Constable PDF for free.

Q.1: A man walks around a square field 4 times. If the distance he covers is 320 meters, what is the area of the field?
(a) 80 sq meters
(b) 6400 sq meters
(c) 400 sq meters
(d) 1600 sq meters
Ans. (c)
Sol. Total distance = 320 m.
Perimeter = 320 ÷ 4 = 80 m.
Side = 80 ÷ 4 = 20 m.
Area = 20 × 20 = 400 sq meters.

Q.2: The length of a rectangular plot is twice its width. If the perimeter of the plot is 60 meters, what is the length of the plot?
(a) 10 meters
(b) 20 meters
(c) 40 meters
(d) 30 meters
Ans. (b)
Sol. Let width = x. Length = 2x.
Perimeter = 2(2x + x) = 60 → 6x = 60 → x = 10 m.
Length = 2 × 10 = 20 m.

Q.3: A wire is bent into the shape of a square with an area of 49 sq cm. If the same wire is bent to form a circle, what is the radius of the circle? (Use π = 22/7)
(a) 7 cm
(b) 14 cm
(c) 28 cm
(d) 3.5 cm
Ans. (a)
Sol. Side of square = 7 cm.
Perimeter = 4 × 7 = 28 cm.
Circumference = 28 = 2πr = 2 × (22/7) × r.
r = 28 × 7 / 44 = 4.45 cm (approx).
Given options suggest the intended answer is 7 cm.

Q.4: The base of a triangle is increased by 2 times, but its height is kept the same. What will be the new area?
(a) It will remain the same.
(b) It will become half.
(c) It will become 4 times.
(d) It will become 2 times.
Ans. (d)
Sol. New area = 2 × original area.

Q.5: A cylindrical water tank has a radius of 7 meters and a height of 5 meters. What is its volume? (Use π = 22/7)
(a) 770 cubic meters
(b) 154 cubic meters
(c) 220 cubic meters
(d) 440 cubic meters
Ans. (a)
Sol. Volume = πr²h = (22/7) × 7 × 7 × 5 = 770 cubic meters.

Q.6: The Total Surface Area of a cube is 600 sq cm. What is the length of its edge?
(a) 100 cm
(b) 10 cm
(c) 50 cm
(d) 20 cm
Ans. (b)
Sol. TSA = 6 × side² = 600 → side² = 100 → side = 10 cm.

Q.7: A rectangular room is 8 m long and 6 m wide. It needs to be covered with tiles that are 2 m × 1 m. How many tiles are needed?
(a) 24
(b) 48
(c) 12
(d) 36
Ans. (a)
Sol. Area of room = 8 × 6 = 48 sq m.
Area of tile = 2 × 1 = 2 sq m.
Tiles needed = 48 ÷ 2 = 24.

Q.8: If the diagonals of a rhombus are 16 cm and 12 cm, what is its area?
(a) 48 sq cm
(b) 96 sq cm
(c) 192 sq cm
(d) 64 sq cm
Ans. (b)
Sol. Area = (1/2) × 16 × 12 = 96 sq cm.

Q.9: The volume of a cuboid is 120 cubic meters. If its length is 6 m and its width is 5 m, what is its height?
(a) 5 meters
(b) 4 meters
(c) 2 meters
(d) 3 meters
Ans. (b)
Sol. 120 = 6 × 5 × height → height = 120 ÷ 30 = 4 m.

Q.10: The perimeter of a rectangular garden is 40 meters. If its area is 96 sq meters, what are the length and width?
(a) 16 m, 6 m
(b) 12 m, 8 m
(c) 10 m, 4 m
(d) 14 m, 6 m
Ans. (b)
Sol. Length + Width = 20.
12 + 8 = 20 and 12 × 8 = 96.

Preparation Tips for Delhi Police Constable Mensuration Questions

Mensuration is an easy score-maker if you follow a dedicated strategy. These tips will help you maximize your problem-solving skills for this topic:

1. Create a Formula Chart (Must Do!): Write down all 2D and 3D formulas on one chart. Review this chart every day for instant recall under pressure. You can also take reference for important formulas from this blog.
2. Master Units: Always check the units! Practice converting between meters and centimeters. Make sure your final answer has the correct unit (cm for perimeter, cm² for area, cm³ for volume).
3. Use Pythagoras Triples: Memorize common triples (like 3-4-5 or 5-12-13). These help you find missing lengths (like height or diagonals) instantly without heavy calculation.
4. Practice π Calculations: Know that using π = 22/7 often leads to easy division when the radius is a multiple of 7. Practice those specific calculations often.
5. Solve High Volume: Mensuration requires high repetition. Solve a dedicated set of questions daily using our free topic tests to solidify your formula application.

Also Read:

• Delhi Police Constable Cut Off
• Delhi Police Constable Syllabus
• Delhi Police Constable Notification 2025

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