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Manager
Joined: 02 Jan 2009
Posts: 99
Location: India
Schools: LBS
Followers: 2
Kudos [?]:
26
[0], given: 6
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Question Stats:
100% (02:24) correct
0% (00:00) wrong based on 0 sessions
what is the sum of the digits in 10^50 - 74 ? A. 424 B. 433 C. 440 D. 449 e. 467
_________________
The Legion dies, it does not surrender.
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Senior Manager
Joined: 31 Aug 2009
Posts: 426
Location: Sydney, Australia
Followers: 4
Kudos [?]:
76
[0], given: 20
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May not be the most elegant method but here goes:
10^50 = 1 followed by 50 trailing 0's.
Question asks: 1.....000 - 74
The resulting number is 48 9's followed by 26
So the number will be 2+6+48(9) = 2+6+432 = 440
ANS = C
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GMAT Club team member
Joined: 02 Sep 2009
Posts: 11594
Followers: 1799
Kudos [?]:
9583
[0], given: 826
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Manager
Joined: 15 Sep 2009
Posts: 148
Followers: 1
Kudos [?]:
8
[0], given: 2
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I have solved the foll way :
100 - 74 = 26
1000 - 74 = 926
10^50 - 74 will have 48 9's and 26.so adding we get the sum of digits as 440
I will go with option C
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Director
Joined: 01 Apr 2008
Posts: 921
Followers: 8
Kudos [?]:
124
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One more way:)
10^50 has 51 digits... 10^50-76 will have 50 digits ( as the first digit '1' will be borrowed ) and the last two digits will be '2' and '6'. So we have 48*9 + 2 + 6 = 440
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Manager
Joined: 04 Sep 2009
Posts: 53
WE 1: Real estate investment consulting
Followers: 1
Kudos [?]:
15
[0], given: 7
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Got there the same way as economist. For around 20 sec, though, pondered on why I was getting 448, then realised that I added 432 and 26, while should have 432+2+6
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Director
Joined: 01 Apr 2008
Posts: 921
Followers: 8
Kudos [?]:
124
[0], given: 18
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arkadiyua wrote: Got there the same way as economist. For around 20 sec, though, pondered on why I was getting 448, then realised that I added 432 and 26, while should have 432+2+6 I know , these are the silly silly silly mistakes that suck !! 
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Senior Manager
Joined: 18 Aug 2009
Posts: 441
Schools: UT at Austin, Indiana State University, UC at Berkeley
WE 1: 5.5
WE 2: 5.5
WE 3: 6.0
Followers: 4
Kudos [?]:
37
[0], given: 16
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Looks like the solution offered by Economist is shortest, thus saves the most time.
_________________
Never give up,,,
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Manager
Joined: 12 Oct 2009
Posts: 119
Followers: 2
Kudos [?]:
10
[0], given: 3
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Economist wrote: arkadiyua wrote: Got there the same way as economist. For around 20 sec, though, pondered on why I was getting 448, then realised that I added 432 and 26, while should have 432+2+6 I know , these are the silly silly silly mistakes that suck !! did the same  but I was adding 432+26 =458 and it was not in option  Regards Asterix Remember the golden rule "2+2 = 4"
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Manager
Joined: 18 Jul 2009
Posts: 174
Location: India
Schools: South Asian B-schools
Followers: 2
Kudos [?]:
39
[0], given: 37
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9 x 48 +2+6 = 440 
_________________
Bhushan S.
If you like my post....Consider it for Kudos 
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Senior Manager
Joined: 21 Jul 2009
Posts: 270
Location: New York, NY
Followers: 1
Kudos [?]:
26
[0], given: 23
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C. 99,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,926 math is a bitch 
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