Q1
Not Answered
NATIVE
Q1. Find perimeter of a rectangle with length 21 cm and breadth 11 cm.
Perimeter = 2(l+b) = 2(21+11) = 64 cm.
Home / General Aptitude / Geometry basics
General Aptitude
Geometry basics
Revise geometry fundamentals with area, perimeter, and figure-based calculation questions.
About Geometry basics
Geometry basics test your understanding of shapes, areas, perimeters, volumes, and spatial relationships — a core topic in quantitative aptitude for placements and competitive exams. Key concepts include: area and perimeter of rectangles, squares, triangles, circles, and composite shapes; volume and surface area of cubes, cuboids, cylinders, cones, and spheres; angle properties (complementary, supplementary, vertically opposite); and the Pythagorean theorem for right triangles. Most exam questions are formula-based, requiring quick recall and accurate substitution. Below are solved geometry questions covering the most frequently tested patterns with step-by-step solutions.
Key Takeaways
- Memorize: Rectangle area = l×b. Triangle = ½×b×h. Circle = πr². Cube = a³. Cylinder = πr²h.
- For composite shapes: break into basic shapes, calculate individually, then add/subtract areas.
- Always keep units consistent (convert cm to m if needed). Pythagoras: a² + b² = c² for right triangles.
Frequently Asked Questions
What geometry formulas must I memorize?
Rectangle: Area = l×b, Perimeter = 2(l+b). Triangle: Area = ½×b×h. Circle: Area = πr², Circumference = 2πr. Cube: Volume = a³, Surface Area = 6a². Cylinder: Volume = πr²h. Sphere: Volume = 4/3πr³. Also know Pythagoras: a² + b² = c².
How to solve composite shape problems?
Break the shape into basic components (rectangles, triangles, circles). Calculate the area/perimeter of each component separately, then add or subtract based on the shape. Watch for overlapping regions — don't double count. Draw and label clearly.
Ready to practice?
You will get a fresh set each session. Select an option to instantly see correctness and explanation.
20 questions
~6 minutes
Randomized each time
Explanations included
Answered
0%
Session
0%
Q2
Not Answered
NATIVE
Q2. Find area of a rectangle with length 14 cm and breadth 14 cm.
Area = l x b = 14 x 14 = 196 sq cm.
Q3
Not Answered
NATIVE
Q3. Find area of a triangle with base 16 cm and height 12 cm.
Area = 1/2 x base x height = 1/2 x 16 x 12 = 96 sq cm.
Q4
Not Answered
NATIVE
Q4. Find perimeter of a rectangle with length 11 cm and breadth 11 cm.
Perimeter = 2(l+b) = 2(11+11) = 44 cm.
Q5
Not Answered
NATIVE
Q5. Find area of a triangle with base 13 cm and height 18 cm.
Area = 1/2 x base x height = 1/2 x 13 x 18 = 117 sq cm.
Q6
Not Answered
NATIVE
Q6. Find area of a rectangle with length 17 cm and breadth 7 cm.
Area = l x b = 17 x 7 = 119 sq cm.
Q7
Not Answered
NATIVE
Q7. Find perimeter of a rectangle with length 13 cm and breadth 14 cm.
Perimeter = 2(l+b) = 2(13+14) = 54 cm.
Q8
Not Answered
NATIVE
Q8. Find area of a triangle with base 15 cm and height 10 cm.
Area = 1/2 x base x height = 1/2 x 15 x 10 = 75 sq cm.
Q9
Not Answered
NATIVE
Q9. Find perimeter of a rectangle with length 12 cm and breadth 12 cm.
Perimeter = 2(l+b) = 2(12+12) = 48 cm.
Q10
Not Answered
NATIVE
Q10. Find area of a triangle with base 13 cm and height 14 cm.
Area = 1/2 x base x height = 1/2 x 13 x 14 = 91 sq cm.
Q11
Not Answered
NATIVE
Q11. Find area of a rectangle with length 10 cm and breadth 16 cm.
Area = l x b = 10 x 16 = 160 sq cm.
Q12
Not Answered
NATIVE
Q12. Find perimeter of a rectangle with length 19 cm and breadth 8 cm.
Perimeter = 2(l+b) = 2(19+8) = 54 cm.
Q13
Not Answered
NATIVE
Q13. Find area of a triangle with base 20 cm and height 5 cm.
Area = 1/2 x base x height = 1/2 x 20 x 5 = 50 sq cm.
Q14
Not Answered
NATIVE
Q14. Find area of a rectangle with length 10 cm and breadth 8 cm.
Area = l x b = 10 x 8 = 80 sq cm.
Q15
Not Answered
NATIVE
Q15. Find area of a triangle with base 11 cm and height 10 cm.
Area = 1/2 x base x height = 1/2 x 11 x 10 = 55 sq cm.
Q16
Not Answered
NATIVE
Q16. Find area of a rectangle with length 9 cm and breadth 10 cm.
Area = l x b = 9 x 10 = 90 sq cm.
Q17
Not Answered
NATIVE
Q17. Find perimeter of a rectangle with length 8 cm and breadth 16 cm.
Perimeter = 2(l+b) = 2(8+16) = 48 cm.
Q18
Not Answered
NATIVE
Q18. Find area of a rectangle with length 22 cm and breadth 6 cm.
Area = l x b = 22 x 6 = 132 sq cm.
Q19
Not Answered
NATIVE
Q19. Find area of a triangle with base 18 cm and height 6 cm.
Area = 1/2 x base x height = 1/2 x 18 x 6 = 54 sq cm.
Q20
Not Answered
NATIVE
Q20. Find area of a rectangle with length 18 cm and breadth 8 cm.
Area = l x b = 18 x 8 = 144 sq cm.
Quiz Summary
Score: 0 / 20
Accuracy: 0%
Attempted: 0 | Skipped: 20
Time: 00:00
Geometry basics Formula, shortcuts & preparation guide
Master geometry basics with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.
Key formulas
- Regular practice improves accuracy
Geometry basics Practice Questions with Answers
Build speed and accuracy with curated geometry basics practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.
How to prepare effectively for this topic?
Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.
Are these questions useful for placements and competitive exams?
Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.