ICET Mathematical Ability - Geometry

Question 1

The radius of a circle is 7 cm. What is its area? (Use π = 22/7)

Accepted Answer

154 cm²

Answer

Area = πr² = (22/7) × 49 = 154 cm².

Question 2

The angles of a triangle are in the ratio 1:2:3. What is the largest angle?

Accepted Answer

90°

Answer

Total = 180°; largest angle = (3/6) × 180° = 90°.

Question 3

A rectangle has length 15 cm and width 8 cm. What is the length of its diagonal?

Accepted Answer

17 cm

Answer

Diagonal = √(15² + 8²) = √(225 + 64) = √289 = 17 cm.

Question 4

What is the volume of a cube with side length 5 cm?

Accepted Answer

125 cm³

Answer

Volume = side³ = 5³ = 125 cm³.

Question 5

Two parallel lines are cut by a transversal. If one interior angle is 65°, what is its alternate interior angle?

Accepted Answer

65°

Answer

Alternate interior angles formed by a transversal cutting parallel lines are always equal, so the angle is 65°.

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