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 500,000 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:

Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H?

A. 153 B. 150 C. 137 D. 129 E. 89

Two-step solution:

G + G/2 = 3G/2 --> the sum is a multiple of 3.

G is a two-digit number --> G < 100 --> 3G/2 < 150.

Among the answer choices the only multiple of 3 which is less than 150 is 129.

Answer: D.

What could be the minimum number ?

Assuming G is a positive number, the least value of G+G/2 will be 20+10=30. G must be even and cannot be less that 20. If it's an even number less than 20, then G/2 will not be a two-digit number.

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

06 Sep 2013, 00:08

What could be the minimum number ?[/quote]

Assuming G is a positive number, the least value of G+G/2 will be 20+10=30. G must be even and cannot be less that 20. If it's an even number less than 20, then G/2 will not be a two-digit number.

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

21 Nov 2013, 06:08

Let G be XX. Let H be x/2 x/2. G+H= 3 () Its a multiple of 3. Only two numbers fit the bill 153 and 129. 153/3 = 51 ( not possible because G is a two digit number and 51 is half of 102). Hence (D) 129.

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

04 Mar 2014, 17:14

Let H be the 2-digit number xy (actually 10x+y). Then G must be 2x2y (actually 10(2x) + 2y or 2(10x+y). In other words, the digits of G must be even single-digit numbers. The maximum value of G can be 88 and thereby H can be 44. Therefore, maximum value of G+H = 132. Therefore, A & B are out. Now G+H = 3(10x+y) implies, G+H must be a multiple of 3. Only D among the remaining answer choices is a multiple of 3. So D is the answer.

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

04 Mar 2014, 19:48

prsnt11 wrote:

Let H be the 2-digit number xy (actually 10x+y). Then G must be 2x2y (actually 10(2x) + 2y or 2(10x+y). In other words, the digits of G must be even single-digit numbers. The maximum value of G can be 88 and thereby H can be 44. Therefore, maximum value of G+H = 132. Therefore, A & B are out. Now G+H = 3(10x+y) implies, G+H must be a multiple of 3. Only D among the remaining answer choices is a multiple of 3. So D is the answer.

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

12 Mar 2015, 07:53

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: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

28 May 2015, 21:24

Each of digits in a 2 digit number when halved gives another number. This means both the digits must be even. Possible combinations are as follows: Digit Half sum ---------- ---- ----- 8 4 12 6 3 9 4 2 6 2 1 3

Looking at choices only 129 is the possible answer : numbers being 86 & 43.

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

23 Dec 2015, 19:08

so, the digits of G must be even. suppose G = 10A+B where A- tens digit, and B units digit. now we are told that 5A+0.5B=H.

we are asked for the sum of G and H, or 15A+1.5B

knowing that A and B must be even, there aren't that many ways it can be arranged in that way. 4*4 = 16 possibilities. nevertheless, since the results are over 100, we can definitely rule out 2, 4, and 6 as A. Thus, A must be 8.

Now, we have 15*8 = 120. We're getting closer to the answer choice. B can be 2 = so the min digit of H can be 1. B can be 8 = so the max digit of H can be 4.

suppose B = 8 => 1.5B = 12, and the sum of G+H=132. suppose B = 2 => 1.5B = 3, and the sum of G+H=123.

now we know for sure that G+H must be a number between 123 and 132. only one answer choice satisfies this condition.

Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

12 Mar 2016, 16:21

G=10a+b H=10c+d, here c=a/2 & d=b/2 or a=2c and b=2d substitute these values G=20c+2d; G+H =30c+3d = 3(10c+d) now in options check for which options are divisible by 3; options A, B and D are divisible by 3; A. 153 => 153/3=51 => c cannot be 5 as d will be a single digit integer. B. 150 => 150/3=50 => c cannot be 5 as d will be a single digit integer. D. 129 => 129/3=43 ---- CORRECT ANS. option D

Re: Each digit in the two-digit number G is halved to form a new [#permalink]

Show Tags

22 Feb 2017, 23:55

There is a way of saving 60% time by eliminating the first three answers (A, B & C): Since both digits of G must be even (so as to yield an integer when halved), the highest possible value of G is 88. So the highest possible value of G+H is 88+44=132 which eliminates the first three answers. So, we now have to test only the last two answers to find out which satisfies the equation 3G/2 for an integer value of G.

gmatclubot

Re: Each digit in the two-digit number G is halved to form a new
[#permalink]
22 Feb 2017, 23:55

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...