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# QOTD#17 If x is divisible by 78, which of the following must

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QOTD#17 If x is divisible by 78, which of the following must [#permalink]  22 Nov 2016, 16:41
Expert's post
00:00

Question Stats:

0% (00:00) correct 99% (00:24) wrong based on 7 sessions
If x is divisible by 78, which of the following must be divisible by x?
Indicate all possible values.

A. $$\frac{x}{78}$$
B. $$x$$
C. $$x+78$$
D. $$78-x$$
E. $$78x$$
F. $$78x+78$$

Drill 4
Question: 12
Page: 295

[Reveal] Spoiler: OA
B and F
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1820 [0], given: 397

Re: QOTD#17 If x is divisible by 78, which of the following must [#permalink]  22 Nov 2016, 16:44
Expert's post
Explanation

There are variables in the answer choices, so Plug In. Try x = 78. You can eliminate choices (A) and (D). Now try a weird number: 0. Eliminate choice (G). Try one more number: 156, which is double 78. This time you can eliminate choices (C) and (E). A number is divisible by itself and a multiple of a number is divisible by that number, so the correct answers are choices (B) and (F).

Hence options B and F are correct.
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Re: QOTD#17 If x is divisible by 78, which of the following must [#permalink]  13 Dec 2016, 07:04
Why (E) can't be an answer?
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Re: QOTD#17 If x is divisible by 78, which of the following must [#permalink]  15 Jan 2017, 04:32
Hi Sandy, can you give me a detailed working for the above question.. Thanks
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1820 [0], given: 397

Re: QOTD#17 If x is divisible by 78, which of the following must [#permalink]  15 Jan 2017, 15:31
Expert's post
shikha0611 wrote:
Hi Sandy, can you give me a detailed working for the above question.. Thanks

Again plugging is the best strategy for these questions. We plug 78 and 0 as values of x.

Regards,
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Re: QOTD#17 If x is divisible by 78, which of the following must [#permalink]  12 Jun 2017, 09:06
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sandy wrote:
Explanation

There are variables in the answer choices, so Plug In. Try x = 78. You can eliminate choices (A) and (D). Now try a weird number: 0. Eliminate choice (G). Try one more number: 156, which is double 78. This time you can eliminate choices (C) and (E). A number is divisible by itself and a multiple of a number is divisible by that number, so the correct answers are choices (B) and (F).

Hence options B and F are correct.

Let me explain this ==>

Here question is asking us => "Which of the following is divisible by x"

Option 1) x/78 => Let x=78 => x/78 = 1 and 1 is not divisible by 78 => REJECT.

Option 2) x/x =1 => Accept

Option 3) (x+78)/x => 1+(78/x) => Is x= 78 => OK else if x=78*2 => Not OK => REJECT.

Option 4) (78-x)/x => 78/x - 1 => If x=78 => OK else if x=78*2 => Not OK => REJECT.

Option 5) 78x/x => 78 => ALWAYS an integer.=> ACCEPT
(You cannot plus in x as zero as division by zero is considered to be illegal on the GRE. You can take any value of x => and this will always be 78 which is an integer)

Option 6) (78x +78)/x => 78 + 78/x => If x = 78 => OK else if x=78*2 = Not OK => REJECT.

Hence the Correct answer choices must be B and E

Smash that B and E

Regards
Stone Cold
Re: QOTD#17 If x is divisible by 78, which of the following must   [#permalink] 12 Jun 2017, 09:06
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