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If a two digit integer is formed by interchanging the digits of anothe
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Updated on: 13 Aug 2023, 13:23
Updated on: 13 Aug 2023, 13:23
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Question Stats:
80% (01:01) correct
20% (01:06) wrong based on 5 sessions
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If a two digit integer is formed by interchanging the digits of another two digit positive integer, which of the following can be the difference between the two numbers?
A. 88
B. 50
C. 18
D. 1
E. –9
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. 88
B. 50
C. 18
D. 1
E. –9
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: If a two digit integer is formed by interchanging the digits of anothe
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07 Aug 2023, 09:20
07 Aug 2023, 09:20
Expert Reply
OE
Let the two-digit positive number be 𝑚 = 𝐴𝐵 where A is the tens digit and B is the
unit digit. Hence, the other two-digit number which will be formed by interchanging
the digits of 𝑚 will be 𝑛 = 𝐵𝐴
Now, 𝑚 = 𝐴𝐵 = 10𝐴 + 𝐵
And, 𝑛 = 𝐵𝐴 = 10𝐵 + 𝐴
Thus, the difference, 𝑚 − 𝑛 = 10𝐴 + 𝐵 − 10𝐵 − 𝐴 = 9𝐴 − 9𝐵 = 9(𝐴 − 𝐵)
Hence, the difference will always be the multiple of 9.
Therefore, among the options the possible values the difference can have will
be 18, −9
Ans. (C, E)
Let the two-digit positive number be 𝑚 = 𝐴𝐵 where A is the tens digit and B is the
unit digit. Hence, the other two-digit number which will be formed by interchanging
the digits of 𝑚 will be 𝑛 = 𝐵𝐴
Now, 𝑚 = 𝐴𝐵 = 10𝐴 + 𝐵
And, 𝑛 = 𝐵𝐴 = 10𝐵 + 𝐴
Thus, the difference, 𝑚 − 𝑛 = 10𝐴 + 𝐵 − 10𝐵 − 𝐴 = 9𝐴 − 9𝐵 = 9(𝐴 − 𝐵)
Hence, the difference will always be the multiple of 9.
Therefore, among the options the possible values the difference can have will
be 18, −9
Ans. (C, E)
Re: If a two digit integer is formed by interchanging the digits of anothe
[#permalink]
13 Aug 2023, 09:44
13 Aug 2023, 09:44
1
Carcass wrote:
OE
Let the two-digit positive number be 𝑚 = 𝐴𝐵 where A is the tens digit and B is the
unit digit. Hence, the other two-digit number which will be formed by interchanging
the digits of 𝑚 will be 𝑛 = 𝐵𝐴
Now, 𝑚 = 𝐴𝐵 = 10𝐴 + 𝐵
And, 𝑛 = 𝐵𝐴 = 10𝐵 + 𝐴
Thus, the difference, 𝑚 − 𝑛 = 10𝐴 + 𝐵 − 10𝐵 − 𝐴 = 9𝐴 − 9𝐵 = 9(𝐴 − 𝐵)
Hence, the difference will always be the multiple of 9.
Therefore, among the options the possible values the difference can have will
be 18, −9
Ans. (C, E)
Let the two-digit positive number be 𝑚 = 𝐴𝐵 where A is the tens digit and B is the
unit digit. Hence, the other two-digit number which will be formed by interchanging
the digits of 𝑚 will be 𝑛 = 𝐵𝐴
Now, 𝑚 = 𝐴𝐵 = 10𝐴 + 𝐵
And, 𝑛 = 𝐵𝐴 = 10𝐵 + 𝐴
Thus, the difference, 𝑚 − 𝑛 = 10𝐴 + 𝐵 − 10𝐵 − 𝐴 = 9𝐴 − 9𝐵 = 9(𝐴 − 𝐵)
Hence, the difference will always be the multiple of 9.
Therefore, among the options the possible values the difference can have will
be 18, −9
Ans. (C, E)
Dear Sir,
The OA is showing only answer C as the correct answer which is wrong. Please recheck and make necessary adjustments.
