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.
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:
What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
For the four-digit number \(ABCD\), where \(A, B, C,\) and \(D\) all represent unique digits, what is the value of \(B\)?
(1) \(ABCD\) rounded to the nearest hundred is \(CD00\). (2) \(B > C + D\)
Good question! This is how I arrived at the answer:
ABCD - a four digit number so A is not 0. Statement 1: ABCD is rounded to the nearest hundred. It could become AB00 - round to the lower value or (AB+1)00 - round to the upper value. It is given that it becomes CD00. Since AB is not equal to CD (distinct digits), it must have been rounded up. You added 1 to AB and both the digits changed. This means when you added 1 to B, there was a carryover to change A to C. So B must have been 9! Sufficient.
Statement 2: Not enough information.
Answer A
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
I think statment 1 is sufficient. Cause While rounding off ABCD to the nearest hundred digit should take it to A(B+1)00 eg: 4950 But here we see a case where it becomes CD00 ==> (A+1)000 eg: 5000 The thousand digit is also changing means B=9 and A=C+1 and D=0 Hence it can be implied that B has to be 9
Stament 2 alone does not give any information on B
_________________
If you liked my post, please consider a Kudos for me. Thanks!
However, Considering the digits are not different.
a ABCD = 1212 | 2727 | 2930 will give different values for B. not sufficient.
b no values for B>C+D can be 3421 or 4741 . not sufficient.
a+b gives 2930 | 8970 or so where the B = 9 always.
Hence C.
Hi Amit, Are you sure 2930 rounds off to 3000 for nearest 100? I think it will round off to 2900. and it cant 8970 .. it has to be 8990( in your example) but its not a good number because b> c+d The numbers should be 4950, 5960, 6970 and 7980
I HOPE I GOT IT RIGHT: C MUST BE BIGGER THAN 5 AND D must be 0.(cd=50, 60, 70, 80, 90) A MUST BE ONE NUMBER BELOW C TO MAKE THE ROUNDING C-D-0-0 FORM. SO: 4950 IS ROUNDED TO 5-0-0-0 5960 to 6-0-0-0 6970 to 7-0-0-0 7980 to 8-0-0-0 and 8990 to 9-0-0-0. B will allways be 9
I HOPE I GOT IT RIGHT: C MUST BE BIGGER THAN 5 AND D must be 0.(cd=50, 60, 70, 80, 90) A MUST BE ONE NUMBER BELOW C TO MAKE THE ROUNDING C-D-0-0 FORM. SO: 4950 IS ROUNDED TO 5-0-0-0 5960 to 6-0-0-0 6970 to 7-0-0-0 7980 to 8-0-0-0 and 8990 to 9-0-0-0. B will allways be 9
Yes thats right.. Even i had this clarification but later got it right..
Statement 1 seems to be the solution if we take it at its face value. However, if we really read it closely, it provides no limits on direction. Most here are rounding up only. The statement is open ended, thus we can round down as well (e.g. 3110 = 3100) . Therefore multiple solutions are available,NOT Sufficient . The answer should be E….
For the four-digit number ABCD, where A, B, C, and D all represent unique digits, what is the value of B?
(1) ABCD rounded to the nearest hundred is CD00. (2) B > C + D
From statement 1 Considering that when ABCD is rounded to nearest hundred, it becomes CD00... C>5 and B has to be 9 because the thousand-digit changed value as well. ---> Sufficient.
From statement 2 Doesn't give us any value to work with. ---> Insufficient.
Answer: A
_________________
"The best day of your life is the one on which you decide your life is your own. No apologies or excuses. No one to lean on, rely on, or blame. The gift is yours - it is an amazing journey - and you alone are responsible for the quality of it. This is the day your life really begins." - Bob Moawab
Re: For the four-digit number ABCD , where A, B, C, and D all
[#permalink]
Show Tags
17 Oct 2017, 04:18
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.
_________________
close
38% (02:08) correct 
