Concept:
Artificial Neural Networks are computational models inspired by the structure and functioning of biological neurons. They are widely used in machine learning and deep learning.
Step 1: Check statement A.
ANNs are inspired by biological neurons of the brain.
\[
A \text{ is correct}
\]
Step 2: Check statement B.
Feed forward networks do not have loops. In feed forward neural networks, information flows only in one direction from input layer to output layer.
\[
B \text{ is incorrect}
\]
Step 3: Check statement C.
Backpropagation is used to train neural networks by updating weights using error gradients.
\[
C \text{ is correct}
\]
Step 4: Check statement D.
ANNs can handle non-linear problems because they use activation functions.
\[
D \text{ is incorrect}
\]
Step 5: Check statement E.
Activation functions such as sigmoid, tanh, and ReLU introduce non-linearity into neural networks.
\[
E \text{ is correct}
\]
Therefore, correct statements are:
\[
A, C \text{ and } E
\]
\[
\therefore \text{Correct Answer is (B)}
\]