Carcass wrote:
\(130 < x < 150\)
Quantity A |
Quantity B |
The greatest odd factor of x |
The greatest even factor of x |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A: We need to find the greatest odd factor for a number between 130 and 150 (exclusive)
The greatest odd factor would be the greatest prime number between 130 and 150, which is 149
Note: How to check if N is a prime number -
Take the square root of N and try dividing N by all prime numbers till \(\sqrt{N}\). If none divide, it is prime
In this case, \(\sqrt{149} = ~ 12...\)
Thus, we try dividing 149 by all primes till 12: 149 is not divisible by 2, 3, 5, 7, 11 => 149 is prime
Thus, the greatest odd factor of x is 149
Quantity B: We need to find the greatest even factor for a number between 130 and 150 (exclusive)
The number, in this case, must be even and the greatest such factor will be 148
Thus, the greatest even factor of x is 148
Thus, Quantity A is greater
Answer AX can be any number between 130 and 150, right? So, if we select a number we will have to compare the greatest odd and greatest even numbers of that particular number. So, depending on the number the answers will wary. Why is D not the answer then?