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If x is divided by 7, the remainder is 1. If y is divided by 7, the re

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 58398
If x is divided by 7, the remainder is 1. If y is divided by 7, the re  [#permalink]

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New post 28 Jan 2019, 00:41
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (00:58) correct 10% (00:23) wrong based on 36 sessions

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VP
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D
Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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Re: If x is divided by 7, the remainder is 1. If y is divided by 7, the re  [#permalink]

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New post 28 Jan 2019, 02:23
1
Bunuel wrote:
If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2. What is the remainder if x + y is divided by 7?

A. 0
B. 1
C. 2
D. 3
E. 4



x/7 = q + 1

x = 7q + 1

again,

y/7 = p + 2

y = 7p + 2


\(\frac{(x + y)}{7}\)\(\)

= \(\frac{(7q + 1 + 7p + 2)}{7}\)

=\(\frac{( 7q + 7p + 3)}{7}\)

Only 3 is not divisible.

D is the correct answer.
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Re: If x is divided by 7, the remainder is 1. If y is divided by 7, the re  [#permalink]

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New post 28 Jan 2019, 03:28
1
Bunuel wrote:
If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2. What is the remainder if x + y is divided by 7?

A. 0
B. 1
C. 2
D. 3
E. 4



x= 8 and y = 9
would give remainder as 1 and 2 when divided by 7
x+y = 17
17/7 = 3
IMO D
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Re: If x is divided by 7, the remainder is 1. If y is divided by 7, the re  [#permalink]

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New post 28 Jan 2019, 04:05
Bunuel wrote:
If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2. What is the remainder if x + y is divided by 7?

A. 0
B. 1
C. 2
D. 3
E. 4


If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2

X = 7 I + 1
Y = 7 I + 2

You can take values as x=1, y = 2 or x = 15, y =16

X+Y = 7I + 3

D
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Re: If x is divided by 7, the remainder is 1. If y is divided by 7, the re   [#permalink] 28 Jan 2019, 04:05
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