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# When x is divided by 7, the remainder is 3. When x3 is divided by 7, w

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Math Revolution GMAT Instructor
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When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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28 Jul 2017, 01:28
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When x is divided by 7, the remainder is 3. When x^3 is divided by 7, what is the remainder?

A. 2
B. 3
C. 4
D. 5
E. 6
[Reveal] Spoiler: OA

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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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28 Jul 2017, 02:41
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MathRevolution wrote:
When x is divided by 7, the remainder is 3. When x^3 is divided by 7, what is the remainder?

A. 2
B. 3
C. 4
D. 5
E. 6

When x is divided by 7, the remainder is 3. When x^3 is divided by 7, the remainder will be $$\frac{3*3*3}{7}=\frac{27}{7}=\frac{3*7+6}{7}$$..
remainder is 6
E
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Math Revolution GMAT Instructor
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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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30 Jul 2017, 19:00
==> For remainder questions, it is important to use direct substitutions. From X=7p+3=3,10,17,…., if you substitute x=3, from x^3=3^3=27=7(3)+6, you get a remainder of 6.

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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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11 Aug 2017, 08:00
This is how I did
Condition 1
x/7== remainder 3
take x=10
10/7==3
Now
x^3/7
10^3/7=1000/7==Remainder=6
Please correct me if I am wrong since I am beginner
TIA
Option:E

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Intern
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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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12 Aug 2017, 00:18
Is there some form of theory we can adopt for these type of questions?

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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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12 Aug 2017, 01:18
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Manager
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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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12 Aug 2017, 01:50
When x is divided by 7, the remainder is 3. When x^3 is divided by 7, what is the remainder?

A few possible numbers for x=10, 17, 24.
X=10 would be easier. 1000/7. It will be better to just divide. Answer 6

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Manager
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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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12 Aug 2017, 01:57
Bounce1987 wrote:
When x is divided by 7, the remainder is 3. When x^3 is divided by 7, what is the remainder?

A few possible numbers for x=10, 17, 24.
X=10 would be easier. 1000/7. It will be better to just divide. Answer 6

We can simply take 3 also. Since , if 3 is divided by 7, he remainder I'll be 3 only.
So 3^3/7 yields a remainder of 6.

This just to make the thing even easier . [SMILING FACE WITH OPEN MOUTH]

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Manager
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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink]

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12 Aug 2017, 02:00
3 would be even easier!

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Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w   [#permalink] 12 Aug 2017, 02:00
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