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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

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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==> 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
_________________

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, 07:00

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