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Quantitative Aptitude · Bank exam practice

Mensuration questions for bank exams

Mensuration covers the area and perimeter of 2D shapes and the volume and surface area of cubes, cylinders, cones and spheres. Plutomonk has 1,040 Mensuration questions in Prelims and Mains sets of 10, each with a worked solution. They are useful for IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, IBPS RRB and RBI Assistant.

Quick tip

Keep a one-page formula sheet. Most mensuration questions are a single formula plus a ratio.

Mensuration sample questions with answers

These are from the first Prelims and Mains sets. Try each question before you open the solution.

Q1. Find the area of a circle of radius 70 cm. (π = 22/7)

  1. 15378 cm²
  2. 440 cm²
  3. 7700 cm²
  4. 15400 cm²
  5. 15444 cm²
Show answer and solution

Answer: D. 15400 cm²

Area = 22/7 × 70 × 70 = 15400 cm².

Q2. Find the area of a rectangle of length 51 m and breadth 19 m.

  1. 70 m²
  2. 969 m²
  3. 957 m²
  4. 484.5 m²
  5. 979 m²
Show answer and solution

Answer: B. 969 m²

Area = 51 × 19 = 969 m².

Q3. Find the volume of a cube of side 18 cm.

  1. 324 cm³
  2. 5832 cm³
  3. 1296 cm³
  4. 1944 cm³
  5. 5796 cm³
Show answer and solution

Answer: B. 5832 cm³

Volume = 18³ = 5832 cm³.

Q4. Find the area of a rectangle of length 35 m and breadth 27 m.

  1. 945 m²
  2. 955 m²
  3. 124 m²
  4. 62 m²
  5. 933 m²
Show answer and solution

Answer: A. 945 m²

Area = 35 × 27 = 945 m².

Q5. Find the volume of a cube of side 12 cm.

  1. 576 cm³
  2. 864 cm³
  3. 1740 cm³
  4. 1704 cm³
  5. 1728 cm³
Show answer and solution

Answer: E. 1728 cm³

Volume = 12³ = 1728 cm³.

Q6. Find the volume of a cube of side 20 cm.

  1. 8000 cm³
  2. 7960 cm³
  3. 8020 cm³
  4. 1600 cm³
  5. 400 cm³
Show answer and solution

Answer: A. 8000 cm³

Volume = 20³ = 8000 cm³.

Q7. Find the area of a circle of radius 21 cm. (π = 22/7)

  1. 693 cm²
  2. 1430 cm²
  3. 2772 cm²
  4. 132 cm²
  5. 1386 cm²
Show answer and solution

Answer: E. 1386 cm²

Area = 22/7 × 21 × 21 = 1386 cm².

Q8. Find the area of a rectangle of length 54 m and breadth 36 m.

  1. 972 m²
  2. 1932 m²
  3. 1944 m²
  4. 90 m²
  5. 1954 m²
Show answer and solution

Answer: C. 1944 m²

Area = 54 × 36 = 1944 m².

Q9. A rectangular park 37 m × 18 m has a path 4 m wide all around it outside. Find the cost of paving the path at ₹10 per m².

  1. ₹7,560
  2. ₹4,400
  3. ₹5,040
  4. ₹6,660
  5. ₹5,240
Show answer and solution

Answer: C. ₹5,040

Path area = (45 × 26) − (37 × 18) = 504 m². Cost = 504 × 10 = ₹5,040.

Q10. A wire bent into a square of perimeter 28 cm is reshaped into a rectangle whose length is 9 cm. Find the area of the rectangle.

  1. 49 cm²
  2. 45 cm²
  3. 63 cm²
  4. 25 cm²
  5. 53 cm²
Show answer and solution

Answer: B. 45 cm²

Perimeter fixed at 28: breadth = 14 − 9 = 5. Area = 45 cm².

Q11. Find the volume of a cylinder with radius 14 cm and height 5 cm. (π = 22/7)

  1. 3234 cm³
  2. 2992 cm³
  3. 6160 cm³
  4. 1026 cm³
  5. 3080 cm³
Show answer and solution

Answer: E. 3080 cm³

V = πr²h = 22/7 × 14² × 5 = 3080 cm³.

Q12. Find the volume of a cylinder with radius 7 cm and height 19 cm. (π = 22/7)

  1. 5852 cm³
  2. 2838 cm³
  3. 975 cm³
  4. 836 cm³
  5. 2926 cm³
Show answer and solution

Answer: E. 2926 cm³

V = πr²h = 22/7 × 7² × 19 = 2926 cm³.

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