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If P represents a single digit in the four digit number x=17P6, how ma [#permalink]

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11 Aug 2015, 14:30

1

This post was BOOKMARKED

reto wrote:

If P represents a single digit in the four digit number x=17P6, how many different values of P are there such that x is divisible by 8?

A. 0 B. 1 C. 2 D. 3 E. 4

Recognise that the p[ossible values are : 1706 , 1716, 1726....1796.

Now, 1706 is NOT divisble by 8 and thus this also rules out 1746 and 1786 as well (1746-1706 =40 a multiple of 8, so if 1706 is not divisble by 8 then 1706 + multiple of 8 will not be divisble by 8).

Similarly, 1716 is not divisible by 8 and thus this eliminates 1756 and 1796 as well.

1726 is not divisible by 8 ---> eliminate 1766

Remaining values, 1736 and 1776 are both divisible by 8 . Hence C,2 is the correct answer.
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If P represents a single digit in the four digit number x=17P6, how ma [#permalink]

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22 Sep 2015, 10:56

when checking from 1706, 1716, 1726, 1736, we got that 1736 is divisible by 8. we know the unit digit is 6, so we need to add a no which should be multiple of 8 and after adding that, it must have the same unit digit 6. so add 40 with 1736, as 40 is one of the multiples of 8, which will give the ans in a required unit digit also a multiple of 8.

Re: If P represents a single digit in the four digit number x=17P6, how ma [#permalink]

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