GreenlightTestPrep wrote:

If x and y are positive integers, and 4x is the least common multiple of x and y, which of the following MUST be true?

i) x is the greatest common divisor of x and y

ii) x = y/4

iii) x is a multiple of 4

A) i only

B) ii only

C) iii only

D) ii and iii only

E) none

Let's find some values for x and y that satisfy the given information and see what happens....

If

x = 3 and

y = 4, then the least common multiple of x and y is 12.

Notice that 12 = 4x, so

x = 3 and

y = 4 work perfectly.

Now let's plug

x = 3 and

y = 4 into the statements...

i)

3 is the greatest common divisor of

3 and

4NOT TRUE. 1 is the greatest common divisor of

3 and

4ii)

3 =

4/4

NOT TRUE

iii)

3 is a multiple of 4

NOT TRUE

Answer: E

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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