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If x is a positive integer and <z> is the greatest multiple of ten les

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If x is a positive integer and <z> is the greatest multiple of ten les  [#permalink]

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New post Updated on: 17 Mar 2019, 04:05
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If x is a positive integer and <z> is the greatest multiple of ten less than or equal to z, what is the value of x-<x>?

(1) <x^14> + x^15 has a units digit of 7
(2) <x^15> + x^16 has a units digit of 1

I'm a little confuse when you say "<z> is the greatest multiple of ten...." from there I'm a little lost. Would be glad if somebody can help.

Thanks!

Originally posted by pichitrat on 17 Mar 2019, 03:36.
Last edited by Bunuel on 17 Mar 2019, 04:05, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If x is a positive integer and <z> is the greatest multiple of ten les  [#permalink]

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New post 17 Mar 2019, 03:56
<z> means for eg <5> will be 0 as 0 is the only multiple of 10 which is less than 5 but if it is <20> then value will be 20 as 20 is the multiple of 10 which is equal to the given value.

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Re: If x is a positive integer and <z> is the greatest multiple of ten les  [#permalink]

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New post 19 Mar 2019, 07:11
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Solution shall be as per below:
Image



pichitrat wrote:
If x is a positive integer and <z> is the greatest multiple of ten less than or equal to z, what is the value of x-<x>?

(1) <x^14> + x^15 has a units digit of 7
(2) <x^15> + x^16 has a units digit of 1

Attachment:
Solution.jpg
Solution.jpg [ 67.26 KiB | Viewed 234 times ]

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Re: If x is a positive integer and <z> is the greatest multiple of ten les   [#permalink] 19 Mar 2019, 07:11
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