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444−4444=

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Manager
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G
Joined: 28 Jul 2016
Posts: 132
Location: India
GPA: 3.97
444−4444=  [#permalink]

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New post 10 Sep 2018, 20:02
00:00
A
B
C
D
E

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

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Joined: 18 Jun 2018
Posts: 230
Premium Member CAT Tests
444−4444=  [#permalink]

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New post 10 Sep 2018, 20:11
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
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V
Joined: 02 Sep 2009
Posts: 50572
Re: 444−4444=  [#permalink]

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New post 10 Sep 2018, 20:13
GMAT Club Bot
Re: 444−4444= &nbs [#permalink] 10 Sep 2018, 20:13
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