LaxAvenger wrote:

Can someone post an explanation please?

I am having difficulties understanding the answer given that we do not know the value of z.

This question tests ones knowledge of the formula dividend = divisor * quotient + remainder

our formula in the question stem is x = 2*y + z . Does this look familiar?

So x is our dividend, y is our divisor, 2 is our quotient and z is our remainder.

Now lets look at our options

i) When x is divide by, it leaves 2 as the remainder.

so what does this mean? it means that x= y*k + 2. Where k is some quotient. So we know that z = 2 but don't know anything about the quotient or y. insuff

ii) When x is divided by y, it leaves a remainder which divides y without leaving any remainder and the quotient is 2

what does this mean? lets take it one step at a time

1) x = yt+m (using t as the quotient so it does not get confused with k in the first statement) this just restates our formula dividend formula

2) Next we have that the remainder divides y without leaving a remainder and the quotient is 2. what does this look like?

y= 2m +0

3) Plug part 2 back into part 1 to get

x= 2m*t + m

Looking at the question stem, set t = 2 and we get x = 2m*2+m. This is insufficient because we don't know anything about the remainder.

Combining both i and ii

from part i we know the remainder is 2 and using our knowledge from part ii we get the formula x = 2*2*2+2 or x = 10

Sorry if this is complicated and not well written, I typed it on my phone and will clarify if yo have any further questions.

Thanks

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