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# N is a 3 digit positive integer. Is N greater than 350? (1) Hundred's

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
N is a 3 digit positive integer. Is N greater than 350? (1) Hundred's  [#permalink]

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25 Jul 2018, 10:06
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:34) correct 19% (01:19) wrong based on 25 sessions

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N is a 3 digit positive integer. Is N greater than 350?

(1) Hundred's place digit of N is three times its unit's place digit, and is half of its ten's place digit.

(2) [N/10] = 36, where [x] represents the greatest integer less than or equal to x.
Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: N is a 3 digit positive integer. Is N greater than 350? (1) Hundred's  [#permalink]

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25 Jul 2018, 12:26
amanvermagmat wrote:
N is a 3 digit positive integer. Is N greater than 350?

(1) Hundred's place digit of N is three times its unit's place digit, and is half of its ten's place digit.

(2) [N/10] = 36, where [x] represents the greatest integer less than or equal to x.

(1) Hundred's place digit of N is three times its unit's place digit, and is half of its ten's place digit.

N =100a+10b+c
also,
a=3c and
b=2a

the smallest possible value of c =1
so N = 361

sufficient.

(2) [N/10] = 36, where [x] represents the greatest integer less than or equal to x.
again N >= 360

sufficient

D
Re: N is a 3 digit positive integer. Is N greater than 350? (1) Hundred's &nbs [#permalink] 25 Jul 2018, 12:26
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