Select the correct indirect form of the given sentence. He said to me…

The correct answer is Option (1) → He asked me if I could do those sums for him.

Changing a question with "can" into indirect speech:

Change	Direct	Indirect	Why
Reporting verb	said to me	asked me	The words are a question. So "said to" is changed to "asked".
Joining word	" " (quotation marks)	if	It is a yes/no question. "If" joins it.
Tense change	Can you do	I could do	"Can" becomes "could" (could + base form (V1)) after the past "said". The subject now comes before the verb.
Pronoun change	you, me	I, him	He was asking me, so "you" becomes "I". He is the speaker, so "me" becomes "him".
Time and place words	these	those	"These" points to things near the speaker. In a later report it becomes "those".
Full sentence	He said to me, "Can you do these sums for me?"	He asked me if I could do those sums for him.

"Whether" can be used in place of "if". "This" also changes to "that". Example: Neha said to Ravi, "Is this your bag?" → Neha asked Ravi whether that was his bag.

Why the Other Options are Incorrect?

Option 2: He asked me if I can do those sums for him. — Incorrect. "Can" should move back to "could" after the past "said".

Option 3: He asked me if I can do these sums for him. — Incorrect. Neither "can" nor "these" is changed. The reported words stay as they were spoken.

Option 4: He asked me if I could do these sums for him. — Incorrect. "These" is kept. It should become "those".