List of top Quantitative Ability and Data Interpretation Questions on LCM and HCF

A chose an integer X, which is between 2 and 40. A noticed that X is such a number that, when any integer Y is divided by X, the remainder is always 1. What is the value of X?

There are two numbers which are greater than 21 and their LCM and HCF are 3003 and 21 respectively. What is the sum of these numbers?

There are 3 different types of rice weighing \(435,\ 493,\) and \(551\) kg respectively. The rice is packed in bags so that no two types are mixed and all bags are of equal size. Find the least number of bags.}

Find the smallest number between 2000 and 3000 that is exactly divisible by 21, 24 and 28.