Remainders each short of the divisor by the same amount: N = k x LCM - d
This type of question, asked 2 times: CDS 2 2016, CDS 2 2024. All 2 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
6is a set of positive integers such that when divided by 2, 3, 4, 5 and 6 leaves the remainder 1, 2, 3, 4 and 5 respectively. How many integers between 0 and 100 belong to the set ?Tap an option to check your answer.
Question 2
CDS 2 2024
3Let be a 5-digit number. When is divided by 6, 12, 15, 24 it leaves respectively 2, 8, 11, 20 as remainders. What is the greatest value of ?Tap an option to check your answer.