(a) The luggages are in the cloakroom.
(b) He gave me two dozen oranges.
(c) The table's leg is broken.
(d) For goodness' sake forgive me!
Identify the sentence/s grammatically correct.

The correct answer is Option B (Only (b) and (d)).

Key Points:
• Noun Rules regarding Uncountable Nouns, Numeral Nouns, and Possessive Case.
• (a) 'The luggages are in the cloakroom.' → Incorrect. 'Luggage' is an uncountable noun that has no plural form ('luggages' is wrong; it should be 'The luggage is...').
• (b) 'He gave me two dozen oranges.' → Correct. When preceded by a definite numeral ('two'), 'dozen' remains singular.
• (c) 'The table's leg is broken.' → Incorrect. Apostrophe-s ('s) is not used with inanimate objects; it should be 'The leg of the table is broken'.
• (d) 'For goodness' sake forgive me!' → Correct. Nouns ending in an 's' sound in fixed idiomatic expressions take only an apostrophe for possessive ('goodness' sake').
• Hence, only sentences (b) and (d) are correct, making Option 2 the right choice.
• Key Takeaway: 'Luggage' has no plural, 'two dozen' takes no plural 's', inanimate objects avoid possessive apostrophes ('table's leg' is wrong), and 'goodness' sake' is correct.