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# When a positive integer "l" is divided by a positive integer "k", the

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Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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17 Sep 2017, 07:04
5
00:00

Difficulty:

55% (hard)

Question Stats:

63% (02:06) correct 37% (02:37) wrong based on 46 sessions

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When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3

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we shall fight on the landing grounds,
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Current Student
Joined: 22 Apr 2017
Posts: 110
Location: India
GMAT 1: 620 Q46 V30
GMAT 2: 620 Q47 V29
GMAT 3: 630 Q49 V26
GMAT 4: 690 Q48 V35
GPA: 3.7
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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17 Sep 2017, 07:27
3
bkpolymers1617 wrote:
When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3

K>13, a>34, z>101 as per quotient & remainder property.
Hence min value for K is 14, A is 35 & Z is 102 Hence, possible value for K+A+Z = 151(14+35+102). Hence D.
Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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17 Sep 2017, 08:39
ManishKM1 wrote:
bkpolymers1617 wrote:
When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3

K>13, a>34, z>101 as per quotient & remainder property.
Hence min value for K is 14, A is 35 & Z is 102 Hence, possible value for K+A+Z = 151(14+35+102). Hence D.

Yes, that's correct my friend
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8883
Location: Pune, India
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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06 Feb 2019, 22:35
bkpolymers1617 wrote:
When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3

Since division by k gives remainder 13, k >= 14
Since division by a gives remainder 34, a >= 35
Since division by z gives remainder 101, z >= 102

So k + a + z >= 14 + 35 + 102

k + a + z >= 151

So of the given values, only 151 satisfies this condition.

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Karishma
Veritas Prep GMAT Instructor

Re: When a positive integer "l" is divided by a positive integer "k", the   [#permalink] 06 Feb 2019, 22:35
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