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Quantitative practice

Mensuration Questions with Answers

Area, perimeter, surface area and volume for plane figures and solids. This page pools every mensuration question on the site — 233 of them, from 45 exams, weighted towards Banking, Management, Railways — so you can drill the topic on its own instead of meeting four of them inside a full paper.

7% of the pool is graded hard on this site’s own scale and 33% easy, which is gentler than the average topic in this section.

Questions
233
Practice set
25 in 25 min
Difficulty
78/138/17
Negative marking
None
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Mensuration questions with solutions

6 from the 233-question pool, worked in full.

  1. 1. A hollow cylindrical cardboard roll has outer radius 6 cm, inner radius 2 cm and length 28 cm. Using π=22/7, what volume of cardboard does the roll contain?

    • A. 2,464 cm³
    • B. 2,816 cm³ ✓
    • C. 3,168 cm³
    • D. 3,520 cm³

    Solution. Cardboard volume=π(R²−r²)h=(22/7)(36−4)×28=(22/7)×32×28=2,816 cm³.

  2. 2. Find the curved surface area of a cone with radius 14 cm and slant height 10 cm. (Use π = 22/7)

    • A. 420 cm²
    • B. 440 cm² ✓
    • C. 460 cm²
    • D. 400 cm²

    Solution. Curved surface area = πrl = (22/7) × 14 × 10 = 22 × 2 × 10 = 440 cm².

  3. 3. Find the area of a rectangle with length 15 m and breadth 8 m.

    • A. 110 sq. m
    • B. 115 sq. m
    • C. 120 sq. m ✓
    • D. 125 sq. m

    Solution. Area of a rectangle = length × breadth = 15 × 8 = 120 sq. m.

  4. 4. A square field has the same perimeter as a rectangle 54 m long and 30 m wide. By how many square metres does the square's area exceed the rectangle's area?

    • A. 108 m^2
    • B. 180 m^2
    • C. 144 m^2 ✓
    • D. 216 m^2

    Solution. Rectangle perimeter=2(54+30)=168 m, so square side=42 m. Areas: square 1764, rectangle 1620. Difference=144 m^2.

  5. 5. Find the volume of a cylinder with radius 3 cm and height 7 cm. (Use pi = 22/7.)

    • A. 189 cm^3
    • B. 198 cm^3 ✓
    • C. 176 cm^3
    • D. 154 cm^3

    Solution. Volume = pi x r^2 x h = (22/7) x 9 x 7 = 22 x 9 = 198 cm^3.

  6. 6. Using π = 22/7, find the area of a circle with radius 28 cm.

    • A. 2,400 cm²
    • B. 2,420 cm²
    • C. 2,440 cm²
    • D. 2,464 cm² ✓

    Solution. Area = πr² = (22/7) × 28 × 28 = 22 × 28 × 4 = 2,464 cm².

Exams that set Mensuration

8 categories, led by Banking, Management, Railways.

Also set by Kerala MCA, LIC AAO, MAH MBA CET, MIT-WPU CET, NABARD Grade A, NATA, Navy SSR, NCHM JEE, NIACL AO, NIFT, NMAT, RBI Assistant, RBI Grade B, RPF Constable, RPF Sub-Inspector, RRB ALP, RRB Group D, RRB Junior Engineer, RRB NTPC, RRB Technician, SBI Clerk, SBI PO, SEBI Grade A, SIDBI Grade A & B, SNAP, SSC CGL, SSC CHSL, SSC CPO, SSC GD Constable, SSC MTS, SSC Selection Post, TG POLYCET, Uttarakhand JEEP. Browse all exams.

Mensuration: frequently asked questions

How many mensuration questions are there?

233, from the 45 exams here whose syllabus sets the topic. 33% are graded easy and 7% hard, which makes mensuration one of the more tractable topics in this section, against a 17% average.

Which exams ask mensuration questions?

45 of the exams on this site, weighted towards Banking (14), Management (7), Railways (7). Every question in this pool comes from one of their own mock tests, so the list below is the honest answer to whether the topic is worth your time.

Is mensuration hard?

7% of these 233 questions are graded hard and 33% easy, making it one of the more tractable topics in this section, against a 17% average.

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