Question

Mark the correct answer in each of the following:
Which of the following statements is not the negation of the statement "All triangles are equilateral triangles".
(a) It is false that all triangles are equilateral triangles
(b) There exists a triangle which is not an equilateral triangle
(c) Not all triangles are equilateral triangles
(d) None of these

Answer 1

For given statement;
p: All triangle are equilateral triangles.
~p: Not all triangle are equilateral triangles. or,
~p: It is false that all the triangle are equilateral triangles. or,
~p There exist a triangle which is not an equilateral triangle.

Hence, the correct answer is option D.