Question

Examine the following statements regarding a set of balls 1. All balls are black 2. All balls are white

Answer 1

This means all balls are black and white.

Hope it Helps :)

Answer 2

Examine the following statements regarding a set of balls

1. All balls are black

2. All balls are white

3. Only some balls are black

4. No balls are black

Assuming that the balls can only be black or white, which two of the statements given above can both be true, but cannot both be false? Choose the correct answer from the codes given below:

(a) 1 and 4 (b) 1 and 3 (c) 2 and 3 (d) 2 and 4

Explanation:

(a) 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.