Which of the following propositions are so related that they cannot both be false although they may both be true?

A. All tigers are man-eaters.

B. Some tigers are man-eaters.

C. Some tigers are not man-eaters.

D. No tigers are man-eaters.

Choose the correct answer from the options given below:

The propositions that cannot both be false, although they may both be true, are:

B. Some tigers are man-eaters.

C. Some tigers are not man-eaters.

Important Points

B. Some tigers are man-eaters

• It is true that some tigers have been known to prey on humans, and are referred to as "man-eaters."
• Man-eating behavior in tigers is relatively rare and usually occurs when tigers are unable to find their natural prey, or when they have become habituated to humans as a food source. 

C. Some tigers are not man-eaters

• Not all tigers are man-eaters. In fact, the vast majority of tigers do not exhibit man-eating behavior.
• Tigers are primarily solitary hunters that prey on a variety of wild animals such as deer, wild boar, and other ungulates.
• They have evolved to hunt and feed on these natural prey species in their native habitats.

The correct answer is: B and C.