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Manager  G
Joined: 01 Sep 2016
Posts: 189
GMAT 1: 690 Q49 V35 When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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7 00:00

Difficulty:   55% (hard)

Question Stats: 61% (02:09) correct 39% (02:22) wrong based on 66 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

_________________
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!
Current Student S
Joined: 22 Apr 2017
Posts: 106
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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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  G
Joined: 01 Sep 2016
Posts: 189
GMAT 1: 690 Q49 V35 Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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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 V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

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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

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Re: When a positive integer "l" is divided by a positive integer "k", the   [#permalink] 06 Feb 2019, 23:35
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