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MCQ

Geometry and Shapes MCQ - Practice Questions with Answers

Solve 10 Geometry and Shapes questions for RAS/RPSC preparation.

Practice questions

Q1How many faces, edges and vertices does a cube have, in this order?

A 6 faces, 8 edges, 12 vertices
B 6 faces, 12 edges, 8 vertices
C 8 faces, 12 edges, 6 vertices
D 12 faces, 8 edges, 6 vertices
Explanation

A cube has 6 flat square faces, 12 straight edges where faces meet, and 8 vertices where three edges meet. Children can count these on a dice or a paper cube model in class.

Q2Which one of the following statements about a square is correct?

A A square has four sides of unequal length and four right angles.
B A square has four equal sides and four right angles.
C A square has three equal sides and three angles.
D A square has two pairs of parallel curved sides.
Explanation

A square is a closed 2-D figure with four sides of equal length and four right angles, each of 90 degrees. Its opposite sides are parallel. Children verify this by folding or measuring a square cut-out at the primary stage.

Q3Which of the following statements about a circle is INCORRECT?

A A circle is a closed curve.
B All points on a circle are at the same distance from its centre.
C A circle has four straight sides and four corners.
D The line from the centre to the boundary is called the radius.
Explanation

A circle has no straight sides and no corners; it is a smooth closed curve. Statements A, B and D correctly describe a circle. Statement C wrongly describes a square or a rectangle, not a circle.

Q4Assertion (A): A cube and a cuboid both have six flat faces. Reason (R): All six faces of a cube are equal squares, while a cuboid has rectangular faces that may differ in size. Choose the correct option.

A Both A and R are true, and R is the correct explanation of A.
B Both A and R are true, but R is not the correct explanation of A.
C A is true, but R is false.
D A is false but R is true.
Explanation

Both statements are true: a cube and a cuboid each have six flat faces, and a cube has equal square faces while a cuboid has rectangular faces of possibly varying sizes. However, the reason describes how the two solids differ in face shape, not why both share the property of having six faces. So R is true but is not the explanation of A — the correct option is B.

Q5A triangle has three sides of equal length. Which type of triangle is it?

A Isosceles triangle
B Equilateral triangle
C Scalene triangle
D Right-angled triangle
Explanation

A triangle with all three sides of equal length is called an equilateral triangle. All its three angles are also equal, each measuring 60 degrees. Class III-V learners identify equilateral triangles by measuring sides with a ruler and comparing.

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More questions

6What is the perimeter of a square whose each side is 7 cm?

A28 cm
B21 cm
C14 cm
D49 cm

7Match each shape in List I with the everyday object in List II that best resembles it. List I (Shape) — List II (Object) 1. Sphere — i. Cricket ball 2. Cylinder — ii. Birthday cap 3. Cone — iii. Tin can 4. Cuboid — iv. Brick Choose the correct match.

A1-i, 2-iii, 3-ii, 4-iv
B1-iv, 2-iii, 3-ii, 4-i
C1-i, 2-ii, 3-iii, 4-iv
D1-iii, 2-i, 3-iv, 4-ii

8Consider the following statements about shapes and choose the correct combination: 1. A square is a 2-D shape. 2. A cube is a 2-D shape. 3. A circle is a 2-D shape. 4. A sphere is a 3-D shape.

A1, 3 and 4 are correct
B1, 2 and 3 are correct
COnly 2 and 4 are correct
DOnly 3 and 4 are correct

9Read the two statements about line symmetry at the primary stage: Statement I: A square has four lines of symmetry. Statement II: A circle has only one line of symmetry. Which is correct?

ABoth Statement I and Statement II are correct.
BStatement I is correct, but Statement II is correct only if the circle is small.
CStatement I is correct, but Statement II is incorrect.
DBoth Statement I and Statement II are incorrect.

10Arrange the following shapes in increasing order of the number of sides: triangle, pentagon, quadrilateral, hexagon.

ATriangle, quadrilateral, pentagon, hexagon
BQuadrilateral, triangle, pentagon, hexagon
CTriangle, pentagon, quadrilateral, hexagon
DPentagon, hexagon, triangle, quadrilateral

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