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:

For the following two weekends we'll be publishing 4 FRESH math questions and 4 FRESH verbal questions per weekend.

To participate, you will have to reply with your best answer/solution to the new questions that will be posted on Saturday and Sunday at 9 AM Pacific. Then a week later, respective forum moderators will be selecting 2 winners who provided most correct answers to the questions, along with best solutions. Those winners will get 6-months access to GMAT Club Tests.

PLUS! Based on the answers and solutions for all the questions published during the project ONE user will be awarded with ONE Grand prize. He/She can opt for one of the following as a Grand Prize. It will be a choice for the winner: -- GMAT Online Comprehensive (If the student wants an online GMAT preparation course) -- GMAT Classroom Program (Only if he/she has a Jamboree center nearby and is willing to join the classroom program)

Bookmark this post to come back to this discussion for the question links - there will be 2 on Saturday and 2 on Sunday!

There is only one Grand prize and student can choose out of the above mentioned too options as per the conditions mentioned in blue font. All announcements and winnings are final and no whining GMAT Club reserves the rights to modify the terms of this offer at any time.

NOTE: Test Prep Experts and Tutors are asked not to participate. We would like to have the members maximize their learning and problem solving process.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 10:05

2

This post received KUDOS

We are given that N = ( 1436)^A*(1054)^B

Note that the unit's digit of N will depend on unit digits ( 1436)^A and (1054)^B which further depends on unit's digit of individual numbers 6^A and 4^B Now since A is positive unit's digit of 6^A will be 6 irrespective of value of A. and since B is positive, unit's digit of 4^B will be 4 or 6 depending on value of B.

So if we know B we can solve this question. 1) is clearly insufficient as we can different values of B and hence different values of unit's digit.

2) is sufficient to solve this question as we just need value of B.

Ans. B _________________

Consider KUDOS if my post helped

I got the eye of the tiger, a fighter, dancing through the fire 'Cause I am a champion and you're gonna hear me roar

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 10:50

1

This post received KUDOS

1

This post was BOOKMARKED

If N = (1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

(1) A + B = 6 (2) B = 2

(1436)^A -- units digit will always be 6 for all positive powers. (1054)^B -- units digit will be 4 for odd powers and units digit will be 6 for even powers

1. A and B can take values from 1-5 . Unit digit for N will depend on units digit of (1436)^A and (1054)^B. If A and B are odd here , the units digit of N will be 6* 4 = 24 Therefore units digit will be 4 But if A and B are even , the units digit will be 6*6= 36 Therefore units digit will be 6

Not sufficient.

2. B=2 units digit of (1054)^B will be 6 . Therefore units digit of N will be 6

Answer B
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 11:21

1

This post received KUDOS

To find units digit of N, we must know value of A & B. 1436^A, its unit digit will always be 6 for positive integers 1) A+B = 6, from this we cannot find out the value of both the variables so, INSUFFICIENT 2) B= 2, from this, we know that unit digit of 1054^2 will be 6 & 1436^A will also be 6 no matter what will be the value of A is, unless it is a positive integer. So 6x6=36, mean 6 unit digit. B is Sufficient _________________

+1 Kudos will be appreciated if you find this post helpful Take up one idea. Make that one idea your life - think of it, dream of it, live on that idea. Let the brain, muscles, nerves, every part of your body, be full of that idea, and just leave every other idea alone. This is the way to success - Swami Vivekananda

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 11:31

1

This post received KUDOS

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

(1) A + B = 6 (2) B = 2

the unit digit of N = unit digit of {unit digit of ( 1436)^A * unit digit of (1054)^B} Now, unit digit of ( 1436)^A = 6, irrespective of A is odd or even. but, unit digit of (1054)^B = 4 when B id odd and unit digit of (1054)^B = 6 when B is even.

1. A+B = 6. a. A = 1, B = 5. B is odd. b. A = 2, B = 4. B is even. Not Sufficient.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 12:22

1

This post received KUDOS

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

this question can be rewritten as: What is the units digit of the (1054)^B? or, even more precise - is B even or odd??? Why? Because to find the units digit of N, we need to find the units digit of ( 1436)^A, and the units digit of (1054)^B. Regardless of what A is, the units digit of ( 1436)^A will always be 6.

The pattern for 4^x is: if x is odd - the units digit will be 4 if x is even - the units digit is 6.

1) A+B = 6, well A can be 1 and B can be 5. This will yield a units digit 4 for the number N or A can be 2 and B can be 4, which will yield a units digit 6 for the number N. As such, statement 1 is insufficient.

2) B=2. we know that B is even, we thus know the units digit of (1054)^B, and thus, we can find the units digit of N.

B - statement 2 alone is sufficient is the answer.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 13:23

1

This post received KUDOS

Stmt 1: A+ B =6 possible values for A = 1, 2 ,3 ,4, 5 possible values for B = 1, 2 ,3 ,4, 5

(1436)^A: For all values of A, the units digit will be 6. (1054)^B: Unit digit can vary based on the value of B.

Therefore, insufficient.

Stmt 2: B = 2

1436)^A: For all values of A, the units digit will be 6. (1054)^B: For B =2, unit digit will be 6. Therefore, the unit digit of 1436)^A * (1054)^B will be 6.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 19:48

1

This post received KUDOS

6^1 = 6, 6^2 = 36, 6^3 = 216 .... So, for any power of 6 will have units digit of 6 4^1 = 4, 4^2 = 16, 4^3 = 64, 4^4 = 256 ... odd powers of 4 will have units digit as 4, even powers of 4 will have units digit as 6 for any positive integer A, (1436)^A will have units digit 6 In (1054)^B = will have units digit of 4, If B is odd =will have units digit of 6, If B is even

Statement (1) => A + B = 6 if A = 1, B = 5 N = ( 1436)^A*(1054)^B = ( 1436)^1*(1054)^5 = (units digit of 6)*(units digit of 4) = units digit of 4 if A = 2, B = 4 N = ( 1436)^A*(1054)^B = ( 1436)^2*(1054)^4 = (units digit of 6)*(units digit of 6) = units digit of 6 So, Not sufficient

Statement (2) => B = 2 N = ( 1436)^A*(1054)^B = ( 1436)^A*(1054)^2 = (units digit of 6)*(units digit of 6) = units digit of 6 Sufficient

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

15 Nov 2015, 23:34

1

This post received KUDOS

N = ( 1436)^A*(1054)^B. Units digit of N = ?

Since 1436 ends with 6, units digit of (1436)^A always ends with 6. Units digit of (1054)^B can be 4 or 6. So, we need the value of B to find the units digit of N.

St1: A + B = 6 --> Does not provide the value of B. Hence not sufficient.

St2: B = 2 --> Units digit of (1054)^2 ends with 6. Since units digit of both (1436)^A and (1054)^B is 6, units digit of N = 6. Statement 2 alone is sufficient.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

16 Nov 2015, 08:00

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

(1) A + B = 6 (2) B = 2

Question: What is the units digit of N = ( 1436)^A*(1054)^B ? -> What is the units digit of 6^A * 4^B? -> What is the units digit of 6 * 4^B (6 to the power any integer results in a number with the units digit 6) -> Is B odd or even? ( 4^odd integer = units digit 4, 4^even integer = units digit 6)

Statement 1: A + B = 6 B could be even or odd depending on A Therefore, INSUFFICIENT!

Statement 2: B = 2 B is even Therefore, SUFFICIENT!

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

18 Nov 2015, 13:28

1

This post received KUDOS

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

We need to find the unit digit. so immidiately see the unit digit of nummber to be multiplied. In case of 1436 - its unit digit is 6. In case of 1054 - its unit digit is 4.

Now lets see what is the resultant unit digit when 4 or 6 is multiplied even or odd number of times with itself.

Check for 6: Remember, whenever unit digit of a number is 0,1,5 or 6, the unit digit would remain same irrespective of the powers. (6)^2 = 6*6 = 36 (unit digit - 6) (6)^3 = 6*6*6 = 216 (unit digit - 6) So power can be even or odd but unit digit would reain same.

Check for 4: In case of 4, if the power is even then unit digit is 6 else if the power is odd then unit digit is 4. (4)^2 = 4*4 = 16 (unit digit - 6) (4)^3 = 4*4*4 = 64 (unit digit - 4) (4)^4 = 4*4*4*4 = 256 (unit digit - 6) (4)^5 = 4*4*4*4*4 = 1024 (unit digit - 4)

lets see the statements individually to check sufficiency. (1) A + B = 6

in case of 1436 - its unit digit would remain 6. Independent of the value of "A". in case of 1054 - its unit digit can be 4 or 6 because it depends on whether "B" is even or odd.

SO here the final unit digit can be 4 OR 6, hence INSUFFICIENT.

(2) B = 2

in case of 1436 - its unit digit would remain 6. Independent of the value of "A". in case of 1054 - its unit digit will be 6 because "B" is even. so, here, final unit digit would be "6". SUFFICIENT.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

20 Nov 2015, 00:01

1

This post received KUDOS

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

(1) A + B = 6 (2) B = 2

The units digit of 1436 will only be 1 if A = 0. But we know that A is positive, so 1436^A will always be 6, regardless of the value of A. Similarly 1054 will never be 1 since B is positive. But the units digit of 1054 is 4 and 4 has a cyclicity of 2 - 4, 6.

In short if B is odd, then the units digit of N is 6*4=4, but if B is even then the units digit of N is 6*6=6.

Hence we only need the value of B.

1. Not Sufficient. B could be anything between 1 to 5

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

20 Nov 2015, 00:03

1

This post received KUDOS

The unit digit of N depends on the unit digit of "(1436)^A" multiples the unit digit of (1054)^B

- (1436)^A always ends in 6 if A is positive integer (6^1, 6^2, ....) - (1054)^B ends in 4 if B is odd integer (4^1, 4^3....) or in 6 if B is even integer (4^2, 4^4....).

So N ending in 4 (6*4) or in 6 (6*6) depends on B is odd or even.

(1)A+B=6 => B can be odd (1,3,5) or even (2,4) => N ends in 4 or 6 =>NOT SUFFICIENT

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

20 Nov 2015, 06:06

1

This post received KUDOS

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

(1) A + B = 6 (2) B = 2

The answer is B.

No matter what is A, the last digit of the first number is 6 and depending on the B the last digit of the second number is 4 or 6. So we need to know about B. Since 4 has cyclicity of 2 at least we should know if B is even or odd.

(1) A + B = 6. We can not find if B is even or odd or exact B.

(2) B = 2. Yes. B is 2 or even. So the last digit of 1054 is 6. The last digit of N is then 6*6=...6.

Re: Jamboree and GMAT Club Contest: If N = ( 1436)^A*(1054)^B. Where A and [#permalink]

Show Tags

20 Nov 2015, 11:08

1

This post received KUDOS

If N = ( 1436)^A*(1054)^B. Where A and B are positive integers. What is the units digit of N?

(1) A + B = 6 (2) B = 2

Whatever be the value of A (>0 as per question), the unit digit value will be always 6. So the answer to this question depends on value of B. 1)Taking choice 1 A+B=6 B can take any values from 1 to 5. So this choice is not sufficient.

2)Taking choice 2 , B=2 Since B=2, the units digit of both will be 6*6= 6. So this is sufficient to answer the question.

We’ve given one of our favorite features a boost! You can now manage your profile photo, or avatar , right on WordPress.com. This avatar, powered by a service...

Sometimes it’s the extra touches that make all the difference; on your website, that’s the photos and video that give your content life. You asked for streamlined access...

A lot has been written recently about the big five technology giants (Microsoft, Google, Amazon, Apple, and Facebook) that dominate the technology sector. There are fears about the...

Post today is short and sweet for my MBA batchmates! We survived Foundations term, and tomorrow's the start of our Term 1! I'm sharing my pre-MBA notes...