CDS · Elementary Mathematics · UPSC · 2016–2025

Mensuration — CDS Elementary Mathematics PYQs

334 questions from this chapter, asked in 10 CDS exams between 2016–2025.

334questions

10CDS exams

2016–2025years covered

Questions asked per year

202527 Qs 202437 Qs 202327 Qs 202240 Qs 202138 Qs 202041 Qs 201934 Qs 201836 Qs 201726 Qs 201628 Qs

Practice questions first 10 of 334 — free

Q1MCQ2025

Answer Logic

The inside of a bowl is part of a sphere. When water is put into the bowl to a depth $d$ , the water surface becomes a circle of radius $2 d$ . What is the radius of the sphere?

(A)

2.5 d

(B)

2.75 d

(C)

3 d

(D)

3.25 d

Q2MCQ2025

Answer Logic

In a triangle $A B C$ , $A B + B C = 7.1$ cm, $B C + C A = 12.1$ cm and $C A + A B = 7.2$ cm. What is the area of the triangle?

(A)3 sq cm

(B)32 sq cm

(C)33 sq cm

(D)3.3 sq cm

Q3MCQ2025

Answer Logic

The adjacent sides of a parallelogram are 10 cm and 8 cm and the angle between them is 150°. What is the area of the parallelogram?

(A)

403

sq cm

(B)40 sq cm

(C)

203

sq cm

(D)20 sq cm

Q4MCQ2025

Answer Logic

The length of an arc of a circle of radius 4 cm is $π$ cm. What is the magnitude of the angle subtended by the arc at the centre?

(A)

π

(B)

\frac{π}{2}

(C)

\frac{π}{3}

(D)

\frac{π}{4}

Q5MCQ2025

Answer Logic

Consider the following for the next two (02) items that follow:
A frustum of a right cone has a top of diameter $2 k$ , bottom of diameter $2.5 k$ and height $k$ .

What is the whole surface area of the frustum?

(A)

\frac{39 π k ^{2}}{8}

(B)

\frac{41 π k ^{2}}{8}

(C)

\frac{43 π k ^{2}}{8}

(D)

\frac{45 π k ^{2}}{8}

Q6MCQ2025

Answer Logic

Consider the following for the next two (02) items that follow:
A frustum of a right cone has a top of diameter $2 k$ , bottom of diameter $2.5 k$ and height $k$ .

What is the volume of the frustum?

(A)

\frac{61 π k ^{3}}{48}

(B)

\frac{59 π k ^{3}}{48}

(C)

\frac{57 π k ^{3}}{48}

(D)

\frac{53 π k ^{3}}{48}

Q7MCQ2025

Answer Logic

Consider the following for the next two (02) items that follow:
$A B C$ is a triangle right-angled at $B$ . The perimeter of the triangle is 24 cm and the difference between the sum of the perpendicular sides and the hypotenuse is 4 cm.

What is the area of the triangle $A B C$ ?

(A)18 sq cm

(B)24 sq cm

(C)36 sq cm

(D)48 sq cm

Q8MCQ2025

Answer Logic

Consider the following for the next two (02) items that follow:
The perimeter of a triangle $A B C$ is 105 cm. The altitudes $A D$ , $B E$ and $C F$ are in the ratio $3 : 5 : 6$ .

What is the approximate area of the triangle $A B C$ ?

(A)175 sq cm

(B)190 sq cm

(C)205 sq cm

(D)285 sq cm

Q9MCQ2025

Answer Logic

Consider the following for the next two (02) items that follow:
A pot is made from a hollow sphere of inner radius 20 cm by cutting its upper portion horizontally. The height of the pot is 30 cm.

What is the inner radius of the circular opening of the pot so formed?

(A)

102

(B)15 cm

(C)

103

(D)12 cm

Q10MCQ2025

Answer Logic

Consider the following for the next two (02) items that follow:
A hall is of length $l$ , breadth $b$ and height $h$ . The maximum distance between any two points (say $P$ and $Q$ ) inside the hall is 14 m, whereas the maximum distance between two points (say $P$ and $R$ ) on the floor is $65$ m.

What is $h$ equal to?

(A)3.5 m

(B)4 m

(C)4.5 m

(D)5 m

Why practise Mensuration PYQs?

Mensuration has appeared in 10 CDS Elementary Mathematics exams we track between 2016–2025. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Mensuration — CDS Elementary Mathematics PYQs

Questions asked per year

Practice questions first 10 of 334 — free

Why practise Mensuration PYQs?

Other Elementary Mathematics topics

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Number System

LCM & HCF

Ratio & Proportion

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Statistics

Speed, Time and Distance

Time and Work

Percentage

Other

Height and Distance

Profit, Loss & Discount

Set Theory