What is the value of integer z?

Hi BeerZ,

When dealing with a 'remainder' question, the end result will NOT be a fraction. A remainder is really about 'leftover pieces.'

For example, with 7/4..... how many times does 4 divide evenly into 7? One time... with 3 leftover pieces (re. 7/4 = 1 r 3)

The information in Fact 1 tells us to divide a positive number ("Y") by another positive number that is one less ("Y-1"), so obviously the difference between those two numbers is 1.

For example:
5 and 4
7 and 6
100 and 99

In each of these examples, how many times does the smaller number divide evenly into the larger number? And how many leftover pieces are there?

5/4 = 1 r 1
7/6 = 1 r 1
100/99 = 1 r 1

That's why all of those results have the SAME remainder. The only exception under these conditions is 2 and 1... since 2/1 = 2 r 0.

GMAT assassins aren't born, they're made,
Rich

Thanks for the reply!

Posted from my mobile device

Why don't I see the A, B, C options????

This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following post ALL YOU NEED FOR QUANT.

Hope this helps.

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.