Welcome to the live session of GMAT Number Properties and GMAT Number Theory. The questions discussed on August 4, 2017 during the live session follow the embedded video. The video link next to each question will take you to the start of the part of the video where that specific question is discussed. Click the video embedded below to watch the entire session.
Number Properties questions discussed on August 4, 2017
Problem Solving Questions

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?

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?

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?
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}
Data Sufficiency Questions
If ‘x’ is a positive integer, what is the value of x?
 The LCM of x and 72 is 144
 The HCF of x and 72 is 8
If a and b are positive integers, what is the HCF of (a, b)?
 The product ab is ‘a’ more than the square of ‘a’
 Twice the value of ‘a’ is one less than the sum of ‘a’ and ‘b’
If ‘a’ is a positive integer, what is the HCF of (a, 32)?
 'a' has exactly 3 factors
 2a has twice as many factors as ‘a’ has
If ‘a’ and ‘b’ are positive integers, what is the HCF (a, b)?
 HCF(3a, b) is 15
 HCF(a, 2b) is 30
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