Bill’s street address is wxyz Oak Street where w, x, y, and

Question

Bill’s street address is wxyz Oak Street where w, x, y, and z each represent a unique nonzero digit. What is Bill’s street address?

(1) w = 2x = 4y = 8z

(2) w = y^3 and x = y^2

scorpioguy · Answer

I am getting C.

1) insuff
2) insuff

From 1) 2x = 4y --> hence x=2y
From 2) x = y^2
Hence 2y = y^2 --> y=2

Which can solve the rest of the equations given in 1.

nakib77 · Answer

A is suff...

because w, x, y and z are nonzero digit, none of them can be greater than 9

so w=2x=4y=8z means

w =8, z= 1 x =4 and y = 2. there can be no other choices.

B is not suff... because

w=y^3 then y can be 1 or 2 simillarly x=y^2 means y can be 1 or 2 or 3 


so A it is.

rigger · Answer

(1) Sufficient.

From the statement we get w, w/2, w/4 , w/8. If z is a non-zero digit, this would imply that w = 8.

Therefore the address is 8421

(2) Insufficient.

Nothing is said about z.

I pick A.

rsanchez · Answer

its amazing how a simple answer from a peer is so much easier to understand than a whole paragraph in a book!

aadikamagic · Answer

Hi. Why cant we assume negative digits in this problem.

Bunuel · Answer

Can you imagine street address having negative number?

aadikamagic · Answer

Thanks for the reply. I have faced this several times and the learning every time was, "do not imagine anything in GMAT" hence i put up this question. I know of street addresses in fractions in my country. For example, house no 8/32, Lane no 7 etc. Please ignore if this sounds stupid.

Wattabulb · Answer

Idk but according to me it should be D

Data 1: Clearly sufficient.
Data 2: also sufficient as question explicitly states "unique non-zero integers" so there is only one possibility w=8, y=2, x=9, y=3

Kindly correct me if I am wrong.

Bunuel · Answer

(2) w = y^3 and x = y^2

The second statement is insufficient as there is no info about z.

Wattabulb · Answer

Thanks Bunuel. Feeling amused. In Data 2 I obtained 4 distinct integer values and hence thought its sufficient. However, I completely overlooked that I only have written 2 distinct values for y

hdwnkr · Answer

Statement 1

The smallest number is z. becasue.w = 8z. Sp, W=8 similarly, others. Sufficient

Statement 2

No info about z

Hence A

law258 · Answer

Answer is A.

(1) w = 2x = 4y = 8z

We know that the numbers are single digit, so if we start from right side, we know that z cannot be 2 or 0, so it must be 1. --> plug and chug to find y, x, & z --> you should get w = 4, x = 2, y = 2, z = 1

SUFFICIENT

(2) w = y^3 & x = y^2

We don't know the value of z & we're not given a relationship in which to find that value.

Thus, INSUFFICIENT

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Bill’s street address is wxyz Oak Street where w, x, y, and

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Bill’s street address is wxyz Oak Street where w, x, y, and

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