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Bunuel
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The hundreds digit and ones digit of a three-digit number are intercha 08 Feb 2019, 04:35
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45% (medium)

Question Stats:

71% (01:49) correct 29% (01:45) wrong based on 434 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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D
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KarishmaB
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The hundreds digit and ones digit of a three-digit number are intercha 08 Feb 2019, 05:03
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Bunuel
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
Show more

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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The hundreds digit and ones digit of a three-digit number are intercha 08 Feb 2019, 06:05
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Bunuel
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
Show more

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 13 Feb 2019, 16:34
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VeritasKarishma
Bunuel
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)
Show more

Hello VeritasKarishma Bunuel !

Why can't we choose B?

723 - 327 = 396
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The hundreds digit and ones digit of a three-digit number are intercha 05 Mar 2019, 01:59
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jfranciscocuencag
VeritasKarishma
Bunuel
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
Show more

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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The hundreds digit and ones digit of a three-digit number are intercha 13 Jul 2022, 15:43
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Good gmat question about arithmetics
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