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# If 412*378 = A, then which of the following is equal to 412*379?

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If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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05 Feb 2018, 21:57
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If 412*378 = A, then which of the following is equal to 412*379?

A. A + 1
B. A + 378
C. A + 379
D. A + 412
E. A + 413

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If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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05 Feb 2018, 22:01
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Bunuel wrote:
If 412*378 = A, then which of the following is equal to 412*379?

A. A + 1
B. A + 378
C. A + 379
D. A + 412
E. A + 413

Given:
A = 412*378

Therefore, 412*379 = 412*(378 + 1) = 412*378 + 412*1 = A + 412(Option D)
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Re: If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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05 Feb 2018, 22:02
Bunuel wrote:
If 412*378 = A, then which of the following is equal to 412*379?

A. A + 1
B. A + 378
C. A + 379
D. A + 412
E. A + 413

Given, $$412*(379-1) = A$$
$$412*379 = A + 412$$
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Re: If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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05 Feb 2018, 22:02
412 x 379 = 412 (378+ 1) i.e 412x378 + 412 i.e A + 412. Answer D

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Re: If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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05 Feb 2018, 23:10
Bunuel wrote:
If 412*378 = A, then which of the following is equal to 412*379?

A. A + 1
B. A + 378
C. A + 379
D. A + 412
E. A + 413

Simply understand what multiplication means:

412 * 378 means 378 times 412 is added.
412 * 379 means 379 times 412 is added.

So 412 * 379 will be a 412 more than 412 * 378

Which is A + 412

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Re: If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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06 Feb 2018, 22:01
In 472 * 379, we basically adding 412 to the value of 412 * 378 , which is equal to A + 412.

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Re: If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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12 Feb 2018, 12:00
Bunuel wrote:
If 412*378 = A, then which of the following is equal to 412*379?

A. A + 1
B. A + 378
C. A + 379
D. A + 412
E. A + 413

412*379 = 412(378 + 1) = 412*378 + 412

Since 412*378 = A, then 412*378 + 412 = A + 412.

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Re: If 412*378 = A, then which of the following is equal to 412*379?  [#permalink]

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18 Mar 2018, 06:55
Bunuel wrote:
If 412*378 = A, then which of the following is equal to 412*379?

A. A + 1
B. A + 378
C. A + 379
D. A + 412
E. A + 413

Given: 412 * 378 = A

Question: 412 * 379 = ?

We can solve it by factoring 412 * 379

412 * (378 + 1)

(412 * 378) + 412

A + 412

Hence (D)
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Re: If 412*378 = A, then which of the following is equal to 412*379?   [#permalink] 18 Mar 2018, 06:55
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