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# remainder

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Manager
Joined: 04 Sep 2006
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04 Jun 2009, 10:39
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What's the reminder of (7^48 + 7^22- 5)/ 7 ?
Senior Manager
Joined: 16 Jan 2009
Posts: 355
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 12:42
remainder of (7^48 + 7^22- 5)/ 7 =
remainder of (7^48)/7 +remainder of (7^22)/7-remainder of 5/ 7
=0+0-5
=-5+7=2

Remainder must be 2.
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Lahoosaher

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Joined: 13 May 2009
Posts: 191

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04 Jun 2009, 13:05
vcbabu wrote:
What's the reminder of (7^48 + 7^22- 5)/ 7 ?

$$R? \frac{7^{48} + 7^{22} - 5}{7}$$
$$R? \frac{7^{48}}{7} + R? \frac{7^{22}}{7} - R?\frac{5}{7}$$
$$0 + 0 - 5$$
$$2$$

2
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Manager
Joined: 15 Apr 2008
Posts: 164

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04 Jun 2009, 14:00
why is the remainder 2 and not 5.
can anybody explain?
Re: remainder   [#permalink] 04 Jun 2009, 14:00
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