Venkey asked, "How old are you?"Venkey asked me _______. Fill in the…

The correct answer is Option (2) → how old I was.

Wh-question in indirect speech:

Change	Direct	Indirect	Why
Word order	How old are you?	how old I was	The question becomes a statement, subject before verb (“I was”), and the question mark goes.
Pronoun change	you	I	“You” refers to the person asked (“me”), so it becomes I.
Tense change	are	was	The reporting verb “asked” is in the past, so “are” moves back to was, which agrees with “I”.
Full sentence	Venkey asked, “How old are you?”	Venkey asked me how old I was.

The reporting verb "asked" is kept, and the question word itself, how old, joins the reported question.

Example: She asked, “Where do you live?” → She asked me where I lived.

Why the Other Options are Incorrect?

Option 1: how old was I. — Incorrect. It keeps the question word order (verb before subject), which is not used in reported speech.

Option 3: how old were I. — Incorrect. Question word order again, and "were" does not agree with "I".

Option 4: how old I were. — Incorrect. The order is right, but "I" takes "was". "I were" is used only for unreal wishes and conditions (If I were you).

Contrast: a reported question takes statement order, "how old I was". The direct question keeps question order, "How old are you?"