What is the ruling on lying by saying "I was out of the house" to prevent being interrupted from memorizing the Qur’an and to make one’s actions purely for the sake of Allah?

A Muslim is permitted to use ma'areedh (indirect or ambiguous speech) to avoid unlawful lying. This involves speaking in a way that is ambiguous, where the speaker intends one meaning, but the listener understands another. An example is saying, "I was not present," while intending a specific place or time. As for intentionally conveying information contrary to reality without using ta'reedh, that is an unlawful lie, as there is no necessity that calls for it.