GMAT Number Properties - LCM HCF on Aug 4, 2017

Live classes for GMAT Number Properties. Focus concept: LCM and HCF. Basic concepts, must know properties of LCM and HCF are covered. Concept session followed by solving PS and DS questions in LCM and HCF

These are the questions that were discussed in the live session. 4 PS and 4 DS in total.
Below each question there is a link which directly takes you to the solution.

Problem Solving:

1.136 blue marbles, 192 red marbles, 72 green marbles, 216 black marbles, and 144 yellow marbles must be packed into packets containing equal number of marbles with the packets containing only marbles of the same colour. What is the minimum number of packets required?
   • GMAT Number Properties - LCM HCF on A...  

2.If x and y are two distinct positive integers and their sum is 360, what is the largest possible value of the HCF of the two numbers?
   • GMAT Number Properties - LCM HCF on A...  

3.What is the smallest number that leaves a remainder of 2 when divided by 3, 3 when divided by 4, 4 when divided by 5, 5 when divided by 6, and 6 when divided by 7?
   • GMAT Number Properties - LCM HCF on A...  

4.If the product of 2 positive integers is 144, which of the following could be the LCM and HCF of the two numbers? Mark all answers that are correct.
(72, 2)
(48, 6)
(18, 8)
(24, 6)
(16, 9)
   • GMAT Number Properties - LCM HCF on A...  

Data Sufficiency

1.If ‘x’ is a positive integer, what is the value of x?
Statement 1: The LCM of x and 72 is 144
Statement 2: The HCF of x and 72 is 8
   • GMAT Number Properties - LCM HCF on A...  

2.If a and b are positive integers, what is the HCF of (a, b)?
Statement 1: The product ab is ‘a’ more than the square of ‘a’
Statement 2: Twice the value of ‘a’ is one less than the sum of ‘a’ and ‘b’
   • GMAT Number Properties - LCM HCF on A...  

3.If ‘a’ is a positive integer, what is the HCF of (a, 32)?
Statement 1: ‘a’ has exactly 3 factors
Statement 2: 2a has twice as many factors as ‘a’ has
   • GMAT Number Properties - LCM HCF on A...  

4.If ‘a’ and ‘b’ are positive integers, what is the HCF (a, b)?
Statement 1: HCF(3a, b) is 15
Statement 2: HCF(a, 2b) is 30
   • GMAT Number Properties - LCM HCF on A...  

#GMAT #GMATLCMHCF #GMATNumberProperties #GMATSampleQuestions #GMATPreparationOnline