Prime/composite numbers, divisibility, HCF and LCM.
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Q1 · Factors, Multiples, HCF and LCM · EASY
A teacher wants to arrange 48 students and 36 students from two classes into groups such that each group has the same number of students from each class and the number of students in each group is the maximum possible. How many students will be there in each group?
Q2 · Factors, Multiples, HCF and LCM · MEDIUM
Three bells ring at intervals of 9 minutes, 12 minutes and 15 minutes respectively. If they all ring together at 8:00 AM, at what time will they ring together again?
Q3 · Factors, Multiples, HCF and LCM · HARD
Find the smallest number which when increased by 5 is exactly divisible by 12, 18, 24 and 30.
Q4 · Factors, Multiples, HCF and LCM · MEDIUM
The HCF of two numbers is 18 and their LCM is 360. If one of the numbers is 72, what is the other number?