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?

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

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.}

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?

The least number which is a perfect square and is divisible by each of the numbers 14, 16, 18 is

Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10:00 am. Then they will again clap together at ______

Find the least number which when divided by 35, 45, and 55 leaves the remainder 18, 28, and 38 respectively.