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The hundreds digit and ones digit of a three-digit number are intercha

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

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New post 08 Feb 2019, 04:35
1
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

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

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

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New post 08 Feb 2019, 05:03
2
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

Answer (D)
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Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 08 Feb 2019, 06:05
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
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The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 13 Feb 2019, 16:34
VeritasKarishma 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

Answer (D)


Hello VeritasKarishma Bunuel !

Why can't we choose B?

723 - 327 = 396
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Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 05 Mar 2019, 01:59
1
jfranciscocuencag wrote:
VeritasKarishma 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

Answer (D)


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.
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Re: The hundreds digit and ones digit of a three-digit number are intercha   [#permalink] 05 Mar 2019, 01:59
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