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Math Expert V
Joined: 02 Sep 2009
Posts: 58434
The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 64% (01:51) correct 36% (01:45) wrong based on 116 sessions

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The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801

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Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801

Simply use the options.

When the hundreds digit and ones digit are interchanged, the new number is about 400 less. So the ones digit will be about 4 or so less than the hundreds digit.
Only (D) fits. Let's check.

713 - 317 = 396

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Karishma
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GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5022
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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1
Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801

100c+10b+a-99c-10b-100a = 396
or say
99( c-a) = 396
c-a = 4

options B & D are close
upon reviewing
713 -317 = 396
correct
IMO D
Senior Manager  S
Joined: 12 Sep 2017
Posts: 302
The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801

Simply use the options.

When the hundreds digit and ones digit are interchanged, the new number is about 400 less. So the ones digit will be about 4 or so less than the hundreds digit.
Only (D) fits. Let's check.

713 - 317 = 396

Hello VeritasKarishma Bunuel !

Why can't we choose B?

723 - 327 = 396
Intern  B
Joined: 10 Feb 2019
Posts: 4
Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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jfranciscocuencag wrote:
Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801

Simply use the options.

When the hundreds digit and ones digit are interchanged, the new number is about 400 less. So the ones digit will be about 4 or so less than the hundreds digit.
Only (D) fits. Let's check.

713 - 317 = 396

Hello VeritasKarishma Bunuel !

Why can't we choose B?

723 - 327 = 396

I did the same mistake as you. Read the question carefully. It says the new number is 396 less than the old number. The word "less" is important here.

Now if you take option #B, if the current number is 327 then the new number is 723 and it is 396 more than the current number. So incorrect. The new number has to be 396 less than the current number. So it should be D. Re: The hundreds digit and ones digit of a three-digit number are intercha   [#permalink] 05 Mar 2019, 01:59
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