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# Suppose n is an integer such that the sum of digits

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Intern
Joined: 26 Sep 2018
Posts: 10
Suppose n is an integer such that the sum of digits  [#permalink]

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01 Nov 2018, 06:13
6
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Difficulty:

75% (hard)

Question Stats:

36% (01:55) correct 64% (02:07) wrong based on 48 sessions

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Suppose n is an integer such that the sum of digits of n is 2, and $$10 ^ {10} < n < 10 ^ {11}$$. The number of different values of n is

a. 11
b. 10
c. 8
d. 9
e. 12
Manager
Joined: 14 Jun 2018
Posts: 217
Re: Suppose n is an integer such that the sum of digits  [#permalink]

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01 Nov 2018, 07:40
10^10 has 10 spots which can be replaced by 1 = 10 ways
2 x 10^10 = 1 way

Total = 11 numbers
Manager
Joined: 28 Jun 2018
Posts: 73
Re: Suppose n is an integer such that the sum of digits  [#permalink]

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04 Nov 2018, 01:58
Bunuel could you break this one down? Lost here
Intern
Joined: 03 Dec 2017
Posts: 32
Suppose n is an integer such that the sum of digits  [#permalink]

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04 Nov 2018, 02:23
hibobotamuss

10^10<n<10^11
meaning
10000000000 to 100000000000

now, sum of digits of n is 2
so options can be
10000000001
10000010000 or
11000000000

there can be 11 such options ...so an A
Suppose n is an integer such that the sum of digits   [#permalink] 04 Nov 2018, 02:23
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