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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
Joined: 16 Aug 2015
Posts: 5577
GMAT 1: 800 Q59 V59
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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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Difficulty:

25% (medium)

Question Stats:

71% (01:17) correct 29% (00:40) wrong based on 84 sessions

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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

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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Aug 2009 Posts: 5890 Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink] ### Show Tags 28 Jul 2017, 02:41 1 1 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 _________________ Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html GMAT online Tutor Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5577 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: When x is divided by 7, the remainder is 3. When x3 is divided by 7, w [#permalink] ### Show Tags 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. Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Intern
Joined: 13 Jul 2017
Posts: 29
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
Intern
Joined: 04 Aug 2017
Posts: 12
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?
Math Expert
Joined: 02 Sep 2009
Posts: 46167
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
Manager
Joined: 06 Jul 2014
Posts: 102
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 640 Q48 V30
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
Manager
Joined: 02 Nov 2015
Posts: 171
GMAT 1: 640 Q49 V29
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
Joined: 06 Jul 2014
Posts: 102
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 640 Q48 V30
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!
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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