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# 444−4444=

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Author Message
Director
Joined: 28 Jul 2016
Posts: 602
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)

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10 Sep 2018, 21:02
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:59) correct 0% (00:00) wrong based on 5 sessions

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$$(44^4−44)/44$$=

16,432
70,321
83,244
85,183
93,155
Senior Manager
Joined: 18 Jun 2018
Posts: 263

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10 Sep 2018, 21:11
globaldesi wrote:
$$(44^4−44)/44$$=

16,432
70,321
83,244
85,183
93,155

OA:D

$$\frac{(44^4−44)}{44}=\frac{44(44^3-1)}{44}=44^3-1$$

As $$4$$ digit has cyclicity of $$2 \quad (i.e \quad 4,6,4,6......)$$
So unit digit of $$44^3$$ will be $$4$$.
Unit digit of $$44^3-1$$ would be $$4-1=3$$.
Only option D has unit digit as $$3$$.
Math Expert
Joined: 02 Sep 2009
Posts: 58449

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10 Sep 2018, 21:13
globaldesi wrote:
$$(44^4−44)/44$$=

16,432
70,321
83,244
85,183
93,155

Discussed here: https://gmatclub.com/forum/44-274510.html Hope it helps.
_________________
Re: 444−4444=   [#permalink] 10 Sep 2018, 21:13
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# 444−4444=

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