Statements:No toffee is coffee.No sweet is toffee. Conclusions:I. No coffee is sweet.II. All sweets are coffee.if only conclusion I follows.if only conclusion ll follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Question
Statements:No toffee is coffee.No sweet is toffee. Conclusions:I. No coffee is sweet.II. All sweets are coffee.if only conclusion I follows.if only conclusion ll follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Solution 1
The given statements are:
- No toffee is coffee.
- No sweet is toffee.
From these statements, we can infer the following:
- Since no sweet is a toffee and no toffee is coffee, we cannot directly infer that no coffee is sweet. There might be some sweets that are coffee. So, conclusion I does not necessarily follow.
- Similarly, since no sweet is a toffee and no toffee is coffee, we cannot infer that all sweets are coffee. There might be some sweets that are not coffee. So, conclusion II does not necessarily follow.
Therefore, the answer is: if neither conclusion I nor conclusion II follows.
Solution 2
The given statements are:
- No toffee is coffee.
- No sweet is toffee.
From these statements, we can infer the following:
- Since no sweet is a toffee and no toffee is coffee, there is no direct relationship established between coffee and sweet. Therefore, we cannot definitively conclude that 'No coffee is sweet.' So, conclusion I does not follow.
- Similarly, since there is no established relationship between sweets and coffee, we cannot definitively conclude that 'All sweets are coffee.' So, conclusion II also does not follow.
Therefore, the answer is: if neither conclusion I nor conclusion II follows.
Solution 3
The given statements are:
- No toffee is coffee.
- No sweet is toffee.
From these statements, we can infer the following:
- Since no sweet is a toffee and no toffee is coffee, we cannot directly infer that no coffee is sweet. There might be some sweets that are coffee. So, conclusion I does not necessarily follow.
- Similarly, since no sweet is a toffee and no toffee is coffee, we cannot infer that all sweets are coffee. There might be some sweets that are not coffee. So, conclusion II does not necessarily follow.
Therefore, the answer is: if neither conclusion I nor conclusion II follows.
Solution 4
The given statements are:
- No toffee is coffee.
- No sweet is toffee.
From these statements, we can infer the following:
- Since no sweet is a toffee and no toffee is coffee, we cannot directly infer that no coffee is sweet. There might be some sweets that are coffee. So, conclusion I does not necessarily follow.
- Similarly, since no sweet is a toffee and no toffee is coffee, we cannot infer that all sweets are coffee. There might be some sweets that are not coffee. So, conclusion II does not necessarily follow.
Therefore, the answer is: if neither conclusion I nor conclusion II follows.
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