Solving LCM and HCF Puzzles: Finding the Number of Pairs #logicxonomy
  • 10 months ago
Learn how LCM and HCF concepts help you solve complex problems, find the number of pairs, determine divisors and factors, and crack math puzzles. Enhance your number theory skills and boost your chances of success in these competitive exams. Don't miss out on this essential topic that can make a significant difference in your exam performance!

The LCM and HCF concepts are very useful in solving problems involving fractions, simplifying algebraic expressions, and finding solutions to equations. Some questions based on LCM and HCF concepts are as follows:


1. Find the LCM and HCF of two or more numbers
2. Simplification of fractions
3. Find the smallest or largest number satisfying given conditions
4. Calculate the time taken by two or more persons to complete a task working together.
5. Total number of rotations or revolutions required by two or more wheels to come back to their initial position
6. Find the least n-digit number which when divided by the given numbers leaves the same or different remainder.
7. How many pairs of numbers are there whose product is given
8. Arrangements in rows and columns, etc.

Que: How many pairs of integers (x,y) exist such that the product of x,y, and HCF(x,y)= 1080?
(a) 8
(b) 7
(c) 9
(d) 12

Total Pairs=9
Option (c) is correct.

Que: Find the least number that should be added to 2014 such that the resulting number can be divided by 3,4,5, and 6 leaving no remainder.
(a) 34
(b) 60
(c) 36
(d) 26

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