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A twodigit number is 13 times its digit in the units place.
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06 Jul 2023, 04:19
06 Jul 2023, 04:19
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Question Stats:
58% (01:47) correct
41% (01:11) wrong based on 12 sessions
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A twoโdigit number is 13 times its digit in the units place.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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
_________________
Quantity A |
Quantity B |
The units digit of the number |
The tens digit of the number |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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: A twodigit number is 13 times its digit in the units place.
[#permalink]
14 Jul 2023, 13:46
14 Jul 2023, 13:46
Can someone explain its solution?
Re: A twodigit number is 13 times its digit in the units place.
[#permalink]
14 Jul 2023, 13:52
14 Jul 2023, 13:52
1
Expert Reply
OE
Let the two digit number be ๐ด๐ต where A is the tens digit and B is the units digit. Now, as the two digit number is 13 times its unitโs digit, thus, ๐ด๐ต = 13B
We know, AB can be extended as 10A + B
๐๐, 10๐ด + ๐ต = 13๐ต
๐๐, 10๐ด = 12๐ต
๐๐, 5๐ด = 6๐ต
๐๐, ๐ด =
6๐ต/5
A = 1.2B
Here, as A and B both are the digits of two-digit number, hence both A and B will be
non-zero single digit integers.
Thus, Quantity B will definitely be larger.
_________________
Let the two digit number be ๐ด๐ต where A is the tens digit and B is the units digit. Now, as the two digit number is 13 times its unitโs digit, thus, ๐ด๐ต = 13B
We know, AB can be extended as 10A + B
๐๐, 10๐ด + ๐ต = 13๐ต
๐๐, 10๐ด = 12๐ต
๐๐, 5๐ด = 6๐ต
๐๐, ๐ด =
6๐ต/5
A = 1.2B
Here, as A and B both are the digits of two-digit number, hence both A and B will be
non-zero single digit integers.
Thus, Quantity B will definitely be larger.
_________________
Re: A twodigit number is 13 times its digit in the units place.
[#permalink]
14 Jul 2023, 13:56
14 Jul 2023, 13:56
Thank you. Btw i got it right till a/b = 6/5 then I concluded that a should be bigger because of the ratio. Where did I go wrong here and how to prevent mistakes like these?
Posted from my mobile device
Posted from my mobile device
Re: A twodigit number is 13 times its digit in the units place.
[#permalink]
14 Jul 2023, 22:23
14 Jul 2023, 22:23
Expert Reply
TurboSea21 wrote:
Thank you. Btw i got it right till a/b = 6/5 then I concluded that a should be bigger because of the ratio. Where did I go wrong here and how to prevent mistakes like these?
Posted from my mobile device
Posted from my mobile device
which is the part, specifically, you did not get ? and what mistake you want to prevent?
_________________
gmatclubot
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