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On multiplying a number by 153, the result obtained was 1023

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On multiplying a number by 153, the result obtained was 1023  [#permalink]

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New post 09 Apr 2014, 12:32
1
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (01:54) correct 30% (02:25) wrong based on 109 sessions

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On multiplying a number by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.

A. 104345
B. 107375
C. 108385
D. 109395
E. 105355


Source: Indian CAT
153 is a multiple of 9, as sum of the digits is divisible by 9. i.e. 1+5+3 =9
In the result, sum of correct digits = 1+0+3+5 = 9
If the number is written as 10N3N5, then N + N must also be divisible by 9 , as the resulting number is divisible by 9.
From the answer choices only D satisfies this condition.

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Re: On multiplying a number by 153, the result obtained was 1023  [#permalink]

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New post 09 Apr 2014, 22:54
2
1
ConnectTheDots wrote:
On multiplying a number by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.

A. 104345
B. 107375
C. 108385
D. 109395
E. 105355


Source: Indian CAT
153 is a multiple of 9, as sum of the digits is divisible by 9. i.e. 1+5+3 =9
In the result, sum of correct digits = 1+0+3+5 = 9
If the number is written as 10N3N5, then N + N must also be divisible by 9 , as the resulting number is divisible by 9.
From the answer choices only D satisfies this condition.


The only thing you actually know about the correct number is that it is divisible by 153 and has 5 as a factor.
You should immediately try to find the factors of 153 and look for them in the options.
153 = 9*17

Divisibility by 9 is easy to check. Only (D) satisfies.
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Re: On multiplying a number by 153, the result obtained was 1023  [#permalink]

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New post 04 May 2014, 21:41
Can we expect to see this type of Questions in GMAT???
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Re: On multiplying a number by 153, the result obtained was 1023  [#permalink]

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New post 04 May 2014, 22:02
satsymbol wrote:
Can we expect to see this type of Questions in GMAT???


Yes, the question is perfectly suitable for GMAT.
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Re: On multiplying a number by 153, the result obtained was 1023  [#permalink]

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New post 09 Sep 2018, 02:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On multiplying a number by 153, the result obtained was 1023 &nbs [#permalink] 09 Sep 2018, 02:48
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