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Given that p is a positive even integer with a positive

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Re: Given that p is a positive even integer with a positive [#permalink] New post   01 Mar 2018, 17:24
u2lover wrote:
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.


all exponential values of 6 have a units digit of 6
6^3=216
6^2=36
6+3=9
D
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Re: Given that p is a positive even integer with a positive [#permalink] New post   05 Oct 2018, 09:30
u2lover wrote:
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.


5 and 6 are the two numbers that to whatever power they are other than 0, the units digit will be 5 or 6.

Since p is positive even integer. meaning it is 6.

6 + 3 = 9

Answer choice D
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Re: Given that p is a positive even integer with a positive [#permalink] New post   27 Feb 2019, 10:23
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u2lover wrote:
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.


The only single digit numbers for which the difference between the units digit of its cube and the units digit of its square is 0 are: 0, 1, 5, and 6. However, since p is a positive even integer with a positive units digit, its units digit must be 6. Thus, the units digit of p + 3 is 9.

Answer: D
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Re: Given that p is a positive even integer with a positive [#permalink] New post   27 Feb 2019, 20:15
The only positive Even integer which will give same units digit when raised to any power > 0 is 6.. 6^2 will give the same units digit as 6^3..
Therefore the number can be 6,16,26..... Units digit of p+3 will always end with a 9.. D is the right answer.

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Re: Given that p is a positive even integer with a positive [#permalink] New post   01 Mar 2020, 04:52
u2lover wrote:
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.


given that p^3-p^2 = 0
p^2(p-1)= 0
p is even integer so for above relation only possible when p=6
so p+3 ; 9
IMO D
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Re: Given that p is a positive even integer with a positive [#permalink] New post   26 Mar 2023, 22:47
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Re: Given that p is a positive even integer with a positive [#permalink]
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