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Data Sufficiency: Geometry Sufficiency

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Practice Questions

Concept Explanation

Geometry DS problems test whether lengths, areas, or angles can be determined from given measurements.

Standard Answer Choices

A — Statement I alone is sufficient; Statement II alone is not.
B — Statement II alone is sufficient; Statement I alone is not.
C — Both together are sufficient, neither alone.
D — Either statement alone is sufficient.
E — Neither alone nor together is sufficient.

Geometry DS Focus

Area formulas need base and height; circles need radius; triangles may need two sides and included angle or Heron’s inputs.

Common Traps in Geometry Problems

Assuming a triangle is right-angled without proof.
Using diameter as radius in circle formulas.
Treating perimeter data as sufficient for area.

Q1 Easy

Area of rectangle 12 cm by 8 cm is:
Q2 Easy

Area of circle with radius 7 cm is: (use π = 22/7)
Q3 Easy

For “Area of rectangle?” — I: length = 12; II: breadth = 8. DS answer?
Q4 Easy

Perimeter of square of side 9 cm is:
Q5 Easy

Area of triangle with base 10 cm and height 6 cm is:
Q6 Easy

Hypotenuse of right triangle with legs 6 and 8 is:
Q7 Medium

For “Area of circle?” — I: radius = 7; II: diameter = 14. DS answer?

Q8 Easy

Volume of cube of edge 5 cm is:
Q9 Medium

For “Is the triangle right-angled?” — I: sides 5, 12, 13; II: one angle is 90°. DS answer?
Q10 Medium

Circumference of circle radius 14 cm (π = 22/7) is:
Q11 Easy

For “Area of triangle?” — I: base = 10; II: height = 6. DS answer?
Q12 Medium

Diagonal of square side 6 cm is:
Q13 Easy

For “Perimeter of rectangle?” — I: length 15; II: breadth 10. DS answer?
Q14 Hard

Area of trapezium with parallel sides 8 and 12 cm, height 5 cm is: