sandy wrote:

w, x, y, and z are consecutive positive integers and w < x < y < z.

Quantity A: The remainder when (w +x)(x + y)(y + z) is divided by 2

Quantity B: 1

IMPORTANT CONCEPT: consecutive integers alternate from ODD to EVEN

So,

the sum of any two consecutive integers will always be ODD, since we're invariably adding an ODD integer and an EVEN integer.

Since w < x < y < z, we can conclude that:

w and x are consecutive integers, which means

w + x is ODD x and y are consecutive integers, which means

x + y is ODD y and z are consecutive integers, which means

y + z is ODD So, (w +x)(x + y)(y + z) = (ODD integer)(ODD integer)(ODD integer)

= ODD integer

If we divide any odd integer by 2, the remainder will be

1.

So, we get:

Quantity A: The remainder when (w +x)(x + y)(y + z) is divided by 2 =

1Quantity B: 1

Answer:

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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