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Number System

HCF/LCM, divisibility, factors, fractions and decimals.

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Q1 · Number System · EASY
The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, what is the other number?
Q2 · Number System · MEDIUM
Find the greatest number that will divide 148, 246 and 623 leaving remainders 4, 6 and 11 respectively.
Q3 · Number System · MEDIUM
The sum of two numbers is 528 and their HCF is 33. How many pairs of such numbers are possible?
Q4 · Number System · MEDIUM
A number when divided by 899 gives a remainder 63. What will be the remainder when the same number is divided by 29?
Q5 · Number System · HARD
Three bells ring at intervals of 12 minutes, 15 minutes and 18 minutes respectively. If they all ring together at 10:00 AM, at what time will they ring together again for the first time?