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VP  P
Joined: 07 Dec 2014
Posts: 1222
Re: Given that p is a positive even integer with a positive  [#permalink]

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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.

all exponential values of 6 have a units digit of 6
6^3=216
6^2=36
6+3=9
D
Director  G
Joined: 19 Oct 2013
Posts: 518
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: Given that p is a positive even integer with a positive  [#permalink]

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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.

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

Target Test Prep Representative D
Status: Founder & CEO
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Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)
Re: Given that p is a positive even integer with a positive  [#permalink]

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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.

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Manager  S
Joined: 19 Jan 2019
Posts: 88
Re: Given that p is a positive even integer with a positive  [#permalink]

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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.

Posted from my mobile device Re: Given that p is a positive even integer with a positive   [#permalink] 27 Feb 2019, 20:15

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