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# If x=1034*1033, which of the following is equal to 1033*1032 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 56307
If x=1034*1033, which of the following is equal to 1033*1032 ?  [#permalink]

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05 Jul 2018, 20:36
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25% (medium)

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84% (01:40) correct 16% (02:23) wrong based on 66 sessions

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If x=1034*1033, which of the following is equal to 1033*1032 ?

A. x − 1033
B. x − 1034
C. x − 2066
D. x − 2067
E. 2x − 2065

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Joined: 02 Aug 2009
Posts: 7763
Re: If x=1034*1033, which of the following is equal to 1033*1032 ?  [#permalink]

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05 Jul 2018, 21:11
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Bunuel wrote:
If x=1034*1033, which of the following is equal to 1033*1032 ?

A. x − 1033
B. x − 1034
C. x − 2066
D. x − 2067
E. 2x − 2065

get 1033*1032 in terms of 1034*1033
$$1033*1032=1033(1034-2)=1033*1034-2*1033=x-2*1033=x-2066$$

C
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If x=1034*1033, which of the following is equal to 1033*1032 ?  [#permalink]

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05 Jul 2018, 21:20
Bunuel wrote:
If x=1034*1033, which of the following is equal to 1033*1032 ?

A. x − 1033
B. x − 1034
C. x − 2066
D. x − 2067
E. 2x − 2065

1033*1032=(1034-1)*(1033-1)=1034*1033-1034-1033+1
=x-2066
Ans. (C)
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Joined: 23 Feb 2018
Posts: 11
Re: If x=1034*1033, which of the following is equal to 1033*1032 ?  [#permalink]

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05 Jul 2018, 21:22
Bunuel wrote:
If x=1034*1033, which of the following is equal to 1033*1032 ?

A. x − 1033
B. x − 1034
C. x − 2066
D. x − 2067
E. 2x − 2065

Hi,

Let us assume 1032 as a, hence 1033=a+1 and 1034=a+2.
This means that x=(a+2) * (a+1) and we have to find an option that equals (a+1) * a.
Substituting the value of x in the options, we get C as the answer as -
x - 2066
= ((a+2) * (a+1)) - (2 * (a+1))
=(a + 1) (a+2 - 2)
=(a+1) * a
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Re: If x=1034*1033, which of the following is equal to 1033*1032 ?  [#permalink]

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06 Jul 2018, 09:39
1032*1033 can also be written as (1034-2)*1033 = (1034*1033) - (2*1033) = x - 2066.

Hence, C.
Re: If x=1034*1033, which of the following is equal to 1033*1032 ?   [#permalink] 06 Jul 2018, 09:39
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