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.
P is a two digit positive integer obtained by reversing the order of t
[#permalink]
05 Jul 2023, 03:37
05 Jul 2023, 03:37
Expert Reply
00:00
Question Stats:
100% (01:15) correct
0% (00:00) wrong based on 8 sessions
Hide Show timer Statistics
P is a two digit positive integer obtained by reversing the order of the digits of a two digit positive Integer Q. Which of the following could be the value of P + Q?
A. 45
B. 89
C. 101
D. 132
E. 145
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
A. 45
B. 89
C. 101
D. 132
E. 145
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
Re: P is a two digit positive integer obtained by reversing the order of t
[#permalink]
07 Aug 2023, 10:28
07 Aug 2023, 10:28
Expert Reply
OE
Let the two-digit positive number ๐ = ๐ด๐ต where A is the tens digit and B is the unit
digit. Hence, the two-digit number ๐which will be formed by interchanging the digits
of ๐ will be ๐ = ๐ต๐ด
Now, ๐ = ๐ด๐ต = 10๐ด + ๐ต
And, ๐ = ๐ต๐ด = 10๐ต + ๐ด
Thus, the sum, ๐ + ๐ = 10๐ด + ๐ต + 10๐ต + ๐ด = 11๐ด + 11๐ต = 11(๐ด + ๐ต)
Hence, the sum will be the multiple of 11.
Therefore, among the options the only possible value ๐ + ๐ can have will be 132
Ans. (D)
Let the two-digit positive number ๐ = ๐ด๐ต where A is the tens digit and B is the unit
digit. Hence, the two-digit number ๐which will be formed by interchanging the digits
of ๐ will be ๐ = ๐ต๐ด
Now, ๐ = ๐ด๐ต = 10๐ด + ๐ต
And, ๐ = ๐ต๐ด = 10๐ต + ๐ด
Thus, the sum, ๐ + ๐ = 10๐ด + ๐ต + 10๐ต + ๐ด = 11๐ด + 11๐ต = 11(๐ด + ๐ต)
Hence, the sum will be the multiple of 11.
Therefore, among the options the only possible value ๐ + ๐ can have will be 132
Ans. (D)
gmatclubot
Re: P is a two digit positive integer obtained by reversing the order of t [#permalink]
07 Aug 2023, 10:28
Moderators:
