Examine the following statements regarding a set of balls 1. All balls are black 2. All balls are white
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
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(a) According to the given statements, only statement 1 and 4 can both be true because there may be a situation, when all the balls are black (1) or it may be, no balls are black (4). Thus both can be true but both of them can not be false.
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