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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
20 Jan 2013, 01:34

Question: If 3x + 5 < x + 11, is x prime? Simplify equation to x<3. Hence question becomes is x=2?

(1) the sum of x and y is even INSUFFICIENT: We dont know y

(2) The product of x and y is odd. INSUFFICIENT: We dont know whether y is integer e.g. x=2, y=1.5 then xy=3 (ODD) e.g. x=1, y=3 then xy=3 (ODD) x can be 1 or 2, hence its not sufficient.

Combining (1) & (2) SUFFICIENT: If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN. If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD Thus if x=2, both statements cannot be true simultaneously. This information is SUFFICIENT to prove x cannot be 2.

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
20 Jan 2013, 04:46

2

This post received KUDOS

Expert's post

If 3x + 5 < x + 11, is x prime?

\(3x + 5 < x + 11\) --> \(x<3\). So, we have that x is less than 3. There is only one prime number less than 3, namely 2. So, the question basically asks whether \(x=2\). Notice here that we are not told that x and y are integers.

(1) The sum of x and y is even. It's certainly possible that x is a prime number, for example if \(x=y=2\), but it's also possible that x is NOT a prime number, for example if \(x=y=1\). Not sufficient.

(2) The product of x and y is odd. The same here: it's possible that x is a prime number, for example if \(x=2\) and \(y=0.5\), but it's also possible that x is NOT a prime number, for example if \(x=y=1\). Not sufficient.

(1)+(2) Suppose \(x=2=prime\), then from (1) it follows that \(y=even\), but in this case \(xy=even\), not odd as stated in (2). Thus our assumption that \(x=2=prime\) was wrong. Therefore, x cannot be a prime number. Sufficient.

Answer: C.

Hope it's clear.

P.S. Please post PS questions in PS forum and DS questions in DS forum. Thank you. _________________

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
20 Jan 2013, 05:06

PraPon wrote:

Question: If 3x + 5 < x + 11, is x prime? Simplify equation to x<3. Hence question becomes is x=2?

(1) the sum of x and y is even INSUFFICIENT: We dont know y

(2) The product of x and y is odd. INSUFFICIENT: We dont know whether y is integer e.g. x=2, y=1.5 then xy=3 (ODD) e.g. x=1, y=3 then xy=3 (ODD) x can be 1 or 2, hence its not sufficient.

Combining (1) & (2) SUFFICIENT: If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN. If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD Thus if x=2, both statements cannot be true simultaneously. This information is SUFFICIENT to prove x cannot be 2.

Hence choice(C) is the answer.

Hi PraPon,

Here u are assuming x=2 and moving forward!

But wat if x is negative? if x= -3 or x= -10

coz question doesnt state x is positive ! _________________

GMAT - Practice, Patience, Persistence Kudos if u like

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
20 Jan 2013, 05:11

Expert's post

shanmugamgsn wrote:

PraPon wrote:

Question: If 3x + 5 < x + 11, is x prime? Simplify equation to x<3. Hence question becomes is x=2?

(1) the sum of x and y is even INSUFFICIENT: We dont know y

(2) The product of x and y is odd. INSUFFICIENT: We dont know whether y is integer e.g. x=2, y=1.5 then xy=3 (ODD) e.g. x=1, y=3 then xy=3 (ODD) x can be 1 or 2, hence its not sufficient.

Combining (1) & (2) SUFFICIENT: If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN. If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD Thus if x=2, both statements cannot be true simultaneously. This information is SUFFICIENT to prove x cannot be 2.

Hence choice(C) is the answer.

Hi PraPon,

Here u are assuming x=2 and moving forward!

But wat if x is negative? if x= -3 or x= -10

coz question doesnt state x is positive !

The point is if we assume that x=2=prime, then both statements cannot be true at the same time, which means that x cannot be 2. Check here: if-3x-5-x-11-is-x-prime-146067.html#p1171395

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
20 Jan 2013, 06:33

Expert's post

Moreover if we rephrasing the question we have to find if x=2 yes or not....but if x=2 (prime or not prime) then we deal only with positive number. Prime are only positive integers _________________

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
10 Jul 2014, 03:40

PrashantPonde wrote:

Question: If 3x + 5 < x + 11, is x prime? Simplify equation to x<3. Hence question becomes is x=2?

(1) the sum of x and y is even INSUFFICIENT: We dont know y

(2) The product of x and y is odd. INSUFFICIENT: We dont know whether y is integer e.g. x=2, y=1.5 then xy=3 (ODD) e.g. x=1, y=3 then xy=3 (ODD) x can be 1 or 2, hence its not sufficient.

Combining (1) & (2) SUFFICIENT: If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN. If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD Thus if x=2, both statements cannot be true simultaneously. This information is SUFFICIENT to prove x cannot be 2.

Hence choice(C) is the answer.

According to my knowledge 1 is Neither Prime nor Composite. Please correct me if GMAT thinks the other way. I am really concerned about this

Re: If 3x + 5 < x + 11, is x prime? [#permalink]
10 Jul 2014, 03:42

shanmugamgsn wrote:

PraPon wrote:

Question: If 3x + 5 < x + 11, is x prime? Simplify equation to x<3. Hence question becomes is x=2?

(1) the sum of x and y is even INSUFFICIENT: We dont know y

(2) The product of x and y is odd. INSUFFICIENT: We dont know whether y is integer e.g. x=2, y=1.5 then xy=3 (ODD) e.g. x=1, y=3 then xy=3 (ODD) x can be 1 or 2, hence its not sufficient.

Combining (1) & (2) SUFFICIENT: If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN. If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD Thus if x=2, both statements cannot be true simultaneously. This information is SUFFICIENT to prove x cannot be 2.

Hence choice(C) is the answer.

Hi PraPon,

Here u are assuming x=2 and moving forward!

But wat if x is negative? if x= -3 or x= -10

coz question doesnt state x is positive !

Are prime No. Negative as well.

I thought Primes are from 2,3,5...And 1 being neither prime nor Composite. Please help me on this

If 3x + 5 < x + 11, is x prime? [#permalink]
10 Jul 2014, 03:46

Expert's post

karna2129 wrote:

PrashantPonde wrote:

Question: If 3x + 5 < x + 11, is x prime? Simplify equation to x<3. Hence question becomes is x=2?

(1) the sum of x and y is even INSUFFICIENT: We dont know y

(2) The product of x and y is odd. INSUFFICIENT: We dont know whether y is integer e.g. x=2, y=1.5 then xy=3 (ODD) e.g. x=1, y=3 then xy=3 (ODD) x can be 1 or 2, hence its not sufficient.

Combining (1) & (2) SUFFICIENT: If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN. If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD Thus if x=2, both statements cannot be true simultaneously. This information is SUFFICIENT to prove x cannot be 2.

Hence choice(C) is the answer.

According to my knowledge 1 is Neither Prime nor Composite. Please correct me if GMAT thinks the other way. I am really concerned about this

GMAT doe not have some kind of their own math.

Facts about primes: 1. 1 is not a prime, since it only has one divisor, namely 1. 2. Only positive numbers can be primes. 3. There are infinitely many prime numbers. 4. the only even prime number is 2. Also 2 is the smallest prime. 5. All prime numbers except 2 and 5 end in 1, 3, 7 or 9.

Hey, Last week I started a few new things in my life. That includes shifting from daily targets to weekly targets, 45 minutes of exercise including 15 minutes of yoga, making...

This week went in reviewing all the topics that I have covered in my previous study session. I reviewed all the notes that I have made and started reviewing the Quant...

I started running as a cross country team member since highshcool and what’s really awesome about running is that...you never get bored of it! I participated in...