If the proposition lsquo domestic animals are hardly ferocious rsquo is taken to be false which of t...........

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If the proposition ‘domestic animals are hardly ferocious’ is taken to be false, which of the following proposition/propositions can be claimed to be certainly true? Select the correct code:

Propositions:

(a) All domestic animals are ferocious.

(b) Most of the domestic animals are ferocious.

(d) Some domestic animals are non-ferocious.

Code:

(a) and (b)

(a) only

(b) only

Explanation:

Let’s break this down.

- The statement, "domestic animals are hardly ferocious," basically means most domestic animals are not ferocious—very few, if any, are.

- If that's claimed to be false, it means domestic animals are NOT ‘hardly ferocious’—in other words, domestic animals *are* ferocious, or at least more of them are.

- Now, let's check the options:

(a) All domestic animals are ferocious.

? If ‘hardly ferocious’ is false, it’s possible ALL are ferocious.

(b) Most of the domestic animals are ferocious.

? Also fits, because if "hardly" is false, then most must be.

? That’s directly contradicted if 'hardly' is false. Not true.

(d) Some domestic animals are non-ferocious.

? This could still be true unless ALL are ferocious. But based on the logic, if most or all are ferocious, "some are non-ferocious" isn’t *certainly* true. Only (a) and (b) can be claimed to be certainly true.

Let’s see the options:

Option 1: (a) and (b)

Option 2: (a) only

Option 3: (c) and (d)

Option 4: (b) only

So, here’s the call:

Option 1: (a) and (b) is correct.