GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
a and b are the digits of a two- digit number ab, and b = a
[#permalink]
14 Apr 2018, 02:24
14 Apr 2018, 02:24
1
Expert Reply
00:00
Question Stats:
66% (00:59) correct
34% (02:55) wrong based on 50 sessions
Hide Show timer Statistics
a and b are the digits of a two- digit number ab, and b = a + 3.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
The positive two-digit number \(ab\) |
The positive two-digit number \(ba\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: a and b are the digits of a two- digit number ab, and b = a
[#permalink]
15 Apr 2018, 00:24
15 Apr 2018, 00:24
1
Given that \(ab\) is a two digit number \(a\) cannot be \(0\) since \(0b = b\)
so probable values for \(a =1,2,3,4,5,6\)
\(a\) cannot also be more than \(6\) since a is an integer and adding \(3\) to \(7\) or more will make b a two digit number in itself which is not possible
for every given value of \(a\) in the list in order, \(b = 4,5,6,7,8,9\)
so \(ab = 14,25,36,47,58,69\)
hence, \(ba = 41,52,63,74,85,96\)
comparing \(ab\) to \(ba\) according to the respective \(1st-6th\) term above
B>A
so probable values for \(a =1,2,3,4,5,6\)
\(a\) cannot also be more than \(6\) since a is an integer and adding \(3\) to \(7\) or more will make b a two digit number in itself which is not possible
for every given value of \(a\) in the list in order, \(b = 4,5,6,7,8,9\)
so \(ab = 14,25,36,47,58,69\)
hence, \(ba = 41,52,63,74,85,96\)
comparing \(ab\) to \(ba\) according to the respective \(1st-6th\) term above
B>A
Re: a and b are the digits of a two- digit number ab, and b = a
[#permalink]
23 Apr 2018, 14:13
23 Apr 2018, 14:13
1
Side A:
we are given b = a + 3
ab can be written as
10*a + b
=10a + a + 3
11a + 3
Side B:
ba can be written as
10b + a
= 10(a+3) + a
= 11a + 30
Therefore Side B is greater
we are given b = a + 3
ab can be written as
10*a + b
=10a + a + 3
11a + 3
Side B:
ba can be written as
10b + a
= 10(a+3) + a
= 11a + 30
Therefore Side B is greater
