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If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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05 Feb 2014, 07:53
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59% (02:05) correct
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If the threedigit number 5W2 is evenly divisible by 8, which of the following could be the digit W ? A. 2 B. 3 C. 4 D. 5 E. 6 OE Any number evenly divisible by 8 must also be evenly divisible by 4. An integer is divisible by 4 if and only if its last two digits are a multiple of 4. 22, 42, and 62 are not divisible by 4. This leaves only Choices (B) and (D), so try dividing 532 by 8: 532 + 8 does not divide evenly, so the answer must be (D), 552 Hi, I want to know whether we can solve this without plugging the number in W, please. I plugged in different numbers before I found the right answer...
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Re: If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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05 Feb 2014, 07:57
goodyear2013 wrote: If the threedigit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?
A. 2 B. 3 C. 4 D. 5 E. 6
OE Any number evenly divisible by 8 must also be evenly divisible by 4. An integer is divisible by 4 if and only if its last two digits are a multiple of 4. 22, 42, and 62 are not divisible by 4. This leaves only Choices (B) and (D), so try dividing 532 by 8: 532 + 8 does not divide evenly, so the answer must be (D), 552.
Hi, I want to know whether we can solve this without plugging the number in W, please. I plugged in different numbers before I found the right answer... I'd solve this question the same way as in OE. Think it the easiest solution.
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Re: If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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06 Feb 2014, 03:21
Took me 35 sec. to solve this question:
400 (divisible by 8) > 480 > 560 > 552 (!)



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Re: If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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18 Feb 2014, 21:58
If the threedigit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?
A. 2 B. 3 C. 4 D. 5 E. 6
Given that, the three digit number 5W2 is divisible by 8, then using the divisibility rule, that is 8 is divisible by the number if sum of four times the hundreds digit, twice the tens digit and units digit of the number is divisible by 8. Or, 4 * 5 + 2 * W + 1 * 2 = 22 + 2W is divisible by 8 Or, W can be 1, 5, 9......
Hence, answer is (D).



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Re: If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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20 Feb 2014, 15:16
D. 5 What is easy number divisible by 8 and close to the 500's? 8*60 = 480. From here I can add 32, 72 or 112 ( 8*4 or 8*9 or 8*14) to get 512, 552, or 592 552 is only choice allowed.
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Re: If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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09 Mar 2014, 23:58
Tried to locate a '0' ending multiple of 8 between 500 & 599 Only 560 is present 560 is divisible by 8, so (560  8) is also divisible by 8 Answer = 5 = D
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Re: If the threedigit number 5W2 is evenly divisible by 8, [#permalink]
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11 Mar 2014, 08:23
"If the last three digits of a number are divisible by 8, then so is the whole number. "Y above proprty cant be apply to this question.. i just plug differnt choices and got the ans in 1 mint..
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Re: If the threedigit number 5W2 is evenly divisible by 8,
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