Question

63. Examine the following statements regarding a set
of balls:
(a) All balls are black.
(6) All balls are white.
(c) Only some balls are black.
(d) No balls are black.
Assuming that the balls can only be black or white,
which of the two statements given above can both
be true, but cannot both be false?
(a) 1 and 3
(6) 1 and 4
(c) 2 and 3
(d) 2 and 4​

Answer 1

Answer:

(b) 1 and 4

Step-by-step explanation:

According to the above statements (that the balls can either be white or black), only statements 1 and 4 can be true since there could be a situation, wherein all the balls are black (as given in statement 1) or it may be that no balls are black ( as given in statement 4). Therefore, both statement 1 and statement 4 can be true, however, both of them cannot be false also.