GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Oct 2018, 17:50

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In an integer division operation, the divisor is x, the quotient is y,

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50058
In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

22 Apr 2015, 03:08
2
6
00:00

Difficulty:

85% (hard)

Question Stats:

55% (02:15) correct 45% (01:55) wrong based on 217 sessions

### HideShow timer Statistics

In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151

(2) r = 11

Kudos for a correct solution.

_________________
Retired Moderator
Joined: 06 Jul 2014
Posts: 1243
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33
GMAT 2: 740 Q50 V40
In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

22 Apr 2015, 03:30
3
4
Bunuel wrote:
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151

(2) r = 11

Kudos for a correct solution.

We can write this task in such way:
$$z = x*y + r$$

1) we know only $$z$$ and this is insufficient.
2) we know only $$r$$ and this is insufficient

1+2) $$151 = x*y + 11$$
This is looks like insufficient, but we know that $$x$$ and $$y$$ should be integer and remainder should be less than divisor: $$x>11$$.
And from this information we can infer that $$x*y = 151-11 = 140$$
and as $$x$$ should be more than 11, the least possible number is 14 and $$y$$ should be equal to 10
So $$x > y$$ and answer is C
_________________
##### General Discussion
Director
Joined: 07 Aug 2011
Posts: 540
GMAT 1: 630 Q49 V27
Re: In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

22 Apr 2015, 20:30
1
Bunuel wrote:
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151

(2) r = 11

Kudos for a correct solution.

z=xy+r

(1) z = 151
Insufficient.
(2) r = 11
Insufficient.

x*y= 140
x>11
so minimum 'x' is 14 and maximum 'y' is '10' .

_________________

Thanks,
Lucky

_______________________________________________________
Kindly press the to appreciate my post !!

Retired Moderator
Status: I Declare War!!!
Joined: 02 Apr 2014
Posts: 237
Location: United States
Concentration: Finance, Economics
GMAT Date: 03-18-2015
WE: Asset Management (Investment Banking)
Re: In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

24 Apr 2015, 07:31
1
Hi,
IMO it should be C. that is after combining both statements.
St 1) just be talking about z-151 nothing comes out.
151/2 or 151/150. so remainder being same still x and y cant be quantified.

st 2) r = 11.
still nothing comes out

combining both:
find the number which when divides 151 leaves remainder of 11
x should be 14 and y be 10.

Though while solving I assigned x as 140 / 28 too.. which leaves remainder of 11 when divided by 151
hence C
Regards
Celestial

Kudos if its a correct solution

Bunuel wrote:
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151

(2) r = 11

Kudos for a correct solution.
Math Expert
Joined: 02 Sep 2009
Posts: 50058
Re: In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

27 Apr 2015, 03:10
Bunuel wrote:
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151

(2) r = 11

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Quick hypothetical situations should prove statement 1 to be insufficient. If x is 151, then you'd be dividing the same thing by itself and y would be 1 with no remainder, and x would be much larger than y. But you could flip that and make x = 1, in which you'd just be dividing 151 by 1 and the quotient (y) would be 151, much larger than x.

Recognizing the algebra of division can be quite helpful here, too. Since Quotient = Dividend * Divisor + Remainder, just knowing statement 1 tells you that 151 = xy + r, and clearly that's not enough information to solve.

Statement 2 is also insufficient. Keep in mind here that, without knowing statement 1, you essentially just have an undefined problem with a remainder of 11. Algebraically that's:

z = xy + 11

And clearly not enough information to solve.

But taken together, the information is sufficient. Why, if it still leaves two variables?

151 = xy + 11, so:

140 = xy

The other crucial element of this being a division problem is that the divisor can't be less than the remainder! If you're dividing 151 by, say, 7, you'd never have 11 left over. Even though 7 * 20 = 140, you wouldn't stop there and say that the remainder is 11, because 11 can still divide one more time by 7 (making it 21, remainder 4). So since 140 = xy AND x > 11, there's no way for an integer y to be greater than x. Therefore the two statements together are sufficient.
_________________
Manager
Joined: 16 Feb 2016
Posts: 52
Concentration: Other, Other
Re: In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

26 Apr 2016, 07:25
Bunuel wrote:
Bunuel wrote:
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151

(2) r = 11

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Quick hypothetical situations should prove statement 1 to be insufficient. If x is 151, then you'd be dividing the same thing by itself and y would be 1 with no remainder, and x would be much larger than y. But you could flip that and make x = 1, in which you'd just be dividing 151 by 1 and the quotient (y) would be 151, much larger than x.

Recognizing the algebra of division can be quite helpful here, too. Since Quotient = Dividend * Divisor + Remainder, just knowing statement 1 tells you that 151 = xy + r, and clearly that's not enough information to solve.

Statement 2 is also insufficient. Keep in mind here that, without knowing statement 1, you essentially just have an undefined problem with a remainder of 11. Algebraically that's:

z = xy + 11

And clearly not enough information to solve.

But taken together, the information is sufficient. Why, if it still leaves two variables?

151 = xy + 11, so:

140 = xy

The other crucial element of this being a division problem is that the divisor can't be less than the remainder! If you're dividing 151 by, say, 7, you'd never have 11 left over. Even though 7 * 20 = 140, you wouldn't stop there and say that the remainder is 11, because 11 can still divide one more time by 7 (making it 21, remainder 4). So since 140 = xy AND x > 11, there's no way for an integer y to be greater than x. Therefore the two statements together are sufficient.

Typo:
Should be
Dividend=Divisor*Quotient + Remainder
Manager
Joined: 23 Sep 2016
Posts: 95
In an integer division operation, the divisor is x, the quotient is...  [#permalink]

### Show Tags

29 Oct 2016, 13:55
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151
(2) r = 11
Math Expert
Joined: 02 Sep 2009
Posts: 50058
Re: In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

29 Oct 2016, 14:24
SW4 wrote:
In an integer division operation, the divisor is x, the quotient is y, the dividend is z, and remainder is r. Is x > y?

(1) z = 151
(2) r = 11

Merging topics. Please search before posting. Thank you.
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 8543
Re: In an integer division operation, the divisor is x, the quotient is y,  [#permalink]

### Show Tags

13 Apr 2018, 06:10
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.
_________________
Re: In an integer division operation, the divisor is x, the quotient is y, &nbs [#permalink] 13 Apr 2018, 06:10
Display posts from previous: Sort by