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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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New post 05 Feb 2018, 21:57
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:23) correct 15% (00:27) wrong based on 110 sessions

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

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New post 05 Feb 2018, 22:01
1
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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New post 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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New post 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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New post 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

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

Answer - 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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New post 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.

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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New post 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? &nbs [#permalink] 18 Mar 2018, 06:55
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