SSC GD Mensuration Questions
7 questions on Mensuration for SSC GD, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 7
- Easy
- 4
- Moderate
- 3
Mensuration questions with solutions
The perimeter of a square is 68 cm. What is its area?
- (A)578 cm²
- (B)289 cm²
- (C)136 cm²
- (D)324 cm²
Show answer and explanation
Correct answer: (B) 289 cm²
Each side of the square = perimeter ÷ 4 = 68 ÷ 4 = 17 cm. Area of a square = side² = 17 × 17 = 289 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 176 cm. What is its area? (Take π = 22/7)
- (A)2552 cm²
- (B)2464 cm²
- (C)1232 cm²
- (D)784 cm²
Show answer and explanation
Correct answer: (B) 2464 cm²
Circumference = 2πr = 176, so r = 176 × 7 ÷ (2 × 22) = 28 cm. Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 32 cm. What is its area?
- (A)64 cm²
- (B)128 cm²
- (C)81 cm²
- (D)72 cm²
Show answer and explanation
Correct answer: (A) 64 cm²
Each side of the square = perimeter ÷ 4 = 32 ÷ 4 = 8 cm. Area of a square = side² = 8 × 8 = 64 cm².
Shortcut: Area = (perimeter/4)².
The perimeter of a square is 28 cm. What is its area?
- (A)56 cm²
- (B)49 cm²
- (C)98 cm²
- (D)28 cm²
Show answer and explanation
Correct answer: (B) 49 cm²
Each side of the square = perimeter ÷ 4 = 28 ÷ 4 = 7 cm. Area of a square = side² = 7 × 7 = 49 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 264 cm. What is its area? (Take π = 22/7)
- (A)5676 cm²
- (B)1764 cm²
- (C)5544 cm²
- (D)11088 cm²
Show answer and explanation
Correct answer: (C) 5544 cm²
Circumference = 2πr = 264, so r = 264 × 7 ÷ (2 × 22) = 42 cm. Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 100 cm. What is its area?
- (A)100 cm²
- (B)625 cm²
- (C)676 cm²
- (D)1250 cm²
Show answer and explanation
Correct answer: (B) 625 cm²
Each side of the square = perimeter ÷ 4 = 100 ÷ 4 = 25 cm. Area of a square = side² = 25 × 25 = 625 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 176 cm. What is its area? (Take π = 22/7)
- (A)1232 cm²
- (B)2552 cm²
- (C)2464 cm²
- (D)4928 cm²
Show answer and explanation
Correct answer: (C) 2464 cm²
Circumference = 2πr = 176, so r = 176 × 7 ÷ (2 × 22) = 28 cm. Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
Frequently asked questions
How many SSC GD Mensuration questions can I practise here?
7 questions — 4 easy and 3 moderate. 7 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Mensuration for SSC GD?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.