Counting numbers in a range divisible (or not) by given numbers, by inclusion-exclusion

This type of question, asked 5 times: 2021 Paper 23, 29 Jan 2023, 31 Jan 2023, 1 Feb 2023, 24 Jan 2025. All 5 questions below, oldest first.

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Question 1
2021 Paper 23
83 $The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is$
Question 2
29 Jan 2023
163 $The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48 , is$
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Question 3
31 Jan 2023
83 $Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11 , is equal to$
Question 4
1 Feb 2023
84 $The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is$
Question 5
24 Jan 2025
73 $The number of 3-digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is$

Question 1