Question

The negation of the statement "All the students completed their homework" is/are

• A. There exists a student who didn't complete his/her homework.
• B. Some students did not complete their homework.
• C. It is false that all the students completed their homework.
• D. Not every student completed his/her homework.

Answer 1

Answer: (A), (B), (C), (D)

Not every student completed his/her homework.

Given statement $P:$ All the students completed their homework
We have to find negation of given statement $\left(P\right)$
Clearly, all the given statements express the Negation of $P$ i.e. $\sim P.$