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# Integer N is between 150 and 180, N=?

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Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Integer N is between 150 and 180, N=?  [#permalink]

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01 Mar 2019, 10:06
1
4
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:33) correct 38% (01:51) wrong based on 93 sessions

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Integer N is between 150 and 180, N=?

I. When N is divided by 20, the remainder is 4.
II. When N is divided by 25, the remainder is 3.
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Integer N is between 150 and 180, N=?  [#permalink]

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01 Mar 2019, 10:24
2
150<N<180

From S1:

When N is divided by 20, it leaves a remainder 0f 4. Only 160 is divisible by 20 in the specified range. Then the value of N is 164.
Sufficient.

From S2:

When N is divided by 25, the remainder is 3.
possible values of N are 153 and 178.
Hence Insufficient.

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Intern
Joined: 15 Dec 2018
Posts: 30
Location: India
GMAT 1: 650 Q45 V35
GMAT 2: 650 Q45 V45
GPA: 3.5
Re: Integer N is between 150 and 180, N=?  [#permalink]

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14 Mar 2019, 23:05
Chethan92 wrote:
150<N<180

From S1:

When N is divided by 20, it leaves a remainder 0f 4. Only 160 is divisible by 20 in the specified range. Then the value of N is 164.
Sufficient.

From S2:

When N is divided by 25, the remainder is 3.
possible values of N are 153 and 178.
Hence Insufficient.

Why is not D?
In S2, both 153 and 178 lie between 150 and 180?
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Integer N is between 150 and 180, N=?  [#permalink]

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15 Mar 2019, 00:53
CAtluri wrote:
Chethan92 wrote:
150<N<180

From S1:

When N is divided by 20, it leaves a remainder 0f 4. Only 160 is divisible by 20 in the specified range. Then the value of N is 164.
Sufficient.

From S2:

When N is divided by 25, the remainder is 3.
possible values of N are 153 and 178.
Hence Insufficient.

Why is not D?
In S2, both 153 and 178 lie between 150 and 180?

We need a unique value of N and 153 and 178 both satisfies. Hence N cannot be a single number

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Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: Integer N is between 150 and 180, N=?  [#permalink]

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15 Mar 2019, 07:16
CAtluri wrote:
Chethan92 wrote:
150<N<180

From S1:

When N is divided by 20, it leaves a remainder 0f 4. Only 160 is divisible by 20 in the specified range. Then the value of N is 164.
Sufficient.

From S2:

When N is divided by 25, the remainder is 3.
possible values of N are 153 and 178.
Hence Insufficient.

Why is not D?
In S2, both 153 and 178 lie between 150 and 180?

We need a unique answer to fulfill the statement. In statement 2 we are getting 2 answers. So its not sufficient
Intern
Joined: 17 Dec 2018
Posts: 4
GMAT 1: 650 Q47 V38
Re: Integer N is between 150 and 180, N=?  [#permalink]

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15 Mar 2019, 07:27
1
kiran120680 wrote:
Integer N is between 150 and 180, N=?

I. When N is divided by 20, the remainder is 4.
II. When N is divided by 25, the remainder is 3.

Statement 1: N={164} Sufficient
Statement 2: N={153, 178} Not Sufficient

Intern
Joined: 03 Oct 2018
Posts: 5
Re: Integer N is between 150 and 180, N=?  [#permalink]

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15 Mar 2019, 07:33
CAtluri wrote:
Chethan92 wrote:
150<N<180

From S1:

When N is divided by 20, it leaves a remainder 0f 4. Only 160 is divisible by 20 in the specified range. Then the value of N is 164.
Sufficient.

From S2:

When N is divided by 25, the remainder is 3.
possible values of N are 153 and 178.
Hence Insufficient.

Why is not D?
In S2, both 153 and 178 lie between 150 and 180?

The answer cannot be D. D means --> Both statements are independently sufficient to answer the question. However, in this question only statement 1 helps us arrive at a definite answer. Statement 2 has 2 possibilities. I hope this answers your question.
Intern
Joined: 15 Mar 2019
Posts: 3
Re: Integer N is between 150 and 180, N=?  [#permalink]

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15 Mar 2019, 08:03
kiran120680 wrote:
Integer N is between 150 and 180, N=?

I. When N is divided by 20, the remainder is 4.
II. When N is divided by 25, the remainder is 3.

Solution:

As per Statement 1: Possible values of N={164}. Since there is only 1 possible value. N=164. Sufficient
As per Statement 2: Possible values of N={153, 178} Since there are 2 possibilities for N. Not Sufficient

Re: Integer N is between 150 and 180, N=?   [#permalink] 15 Mar 2019, 08:03
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