Step 1: Identify the Type of Sentence.
The given sentence is an interrogative sentence (question form).
It begins with “Did” and ends with a question mark, so it is a Yes/No type question.
Step 2: Change the Reporting Verb.
Since it is a question, “said to” must be changed to “asked”.
We do not use “told” in interrogative sentences.
Step 3: Apply Indirect Speech Rules.
For Yes/No questions, we use “if” or “whether”.
The helping verb “Did” is removed.
The tense changes from Simple Past (“Did like”) to Past Perfect (“had liked”) because the reporting verb is in the past tense.
The question form changes into statement form (no question mark).
So, the correct transformation becomes:
Swarali asked her mother if she had liked her sketch.
Step 4: Check the Options.
(a) Incorrect because it does not use “asked” and does not include “if.”
(b) Incorrect because “told” cannot be used for questions.
(c) Incorrect because “that” is not used in Yes/No questions and tense is wrong.
(d) Correct because it properly follows all the rules of indirect speech.