If the proposition ‘House are not bricks’ is taken to be False then which of the following propositions can be True? (a) All houses are bricks (b) No house is brick (c) Some houses are bricks (d) Some houses are not bricks Select the correct answer from the options given below:
If the proposition ‘House are not bricks’ is taken to be False then which of the following propositions can be True? (a) All houses are bricks (b) No house is brick (c) Some houses are bricks (d) Some houses are not bricks Select the correct answer from the options given below: Correct Answer (c) only
The proposition ‘House are not bricks’ is taken to be False
So we need to find the statement similar to "Houses are bricks" which we get after negating the given proposition.
(a) All houses are bricks → False (This can be possible but as in the given proposition "All" is not mentioned so we can not consider this as true)
(b) No house is brick → False (This can never be possible)
(c) Some houses are bricks → True ( As this is clearly mentioned in the given proposition)
(d) Some houses are not bricks → False (This is possible but not definite)
Hence, option 4) is the correct answer.