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CTET 7 Feb 2026 Paper 1, Question 43

Topic: Shapes and space

Q43

A pentagonal pyramid has

  1. (1) five faces and five vertices
  2. (2) six faces and six edges
  3. (3) six vertices and five faces
  4. (4) six vertices and six facesCorrect answer

Solution.

CBSE answer: (4)

Answer: (4) six vertices and six faces

  1. Faces: 1 pentagonal base + 5 triangular side faces =6= 6.
  2. Vertices: 5 corners of the base + 1 apex =6= 6.
  3. Edges: 5 on the base + 5 slant edges =10= 10.
  4. Euler check: F+V−E=6+6−10=2F + V - E = 6 + 6 - 10 = 2.

Trap: option (2) has six faces but only six edges; a pentagonal pyramid has 10 edges.