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Bunuel
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When n is divided by 19, the remainder is 6. When n is divided by 11, 27 Apr 2016, 00:12
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E
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25% (medium)

Question Stats:

75% (01:47) correct 25% (02:23) wrong based on 301 sessions

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When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?

A. 3
B. 7
C. 10
D. 13
E. 19
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E
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ravisinghal
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When n is divided by 19, the remainder is 6. When n is divided by 11, 27 Apr 2016, 01:54
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Bunuel
When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?

A. 3
B. 7
C. 10
D. 13
E. 19
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N = 19 q + 6
N = 11 z + 6

Equating
19 Q + 6 = 11z+6

11z=19q
11z/19 = q
since q is an integer Z must be divisible by 19.
Hence E
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When n is divided by 19, the remainder is 6. When n is divided by 11, 01 Aug 2016, 19:39
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Hi!

I did picked up E... but it was a calculated risk anticipating what I would have done in GMAT exam.
Kindly share the official solution please..
my approach.. n is same in both, divisors are 19 and 11.. and z has to be divisible.. so other number should be 19.
thanks
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When n is divided by 19, the remainder is 6. When n is divided by 11, Updated on: 01 Nov 2019, 09:58
Originally posted by gracie on 03 Aug 2016, 14:58.
Last edited by gracie on 01 Nov 2019, 09:58, edited 2 times in total.
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When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?

A. 3
B. 7
C. 10
D. 13
E. 19

let q=n/19 quotient
n=19q+6
n=11z+6
subtracting eq2 from eq1,
11z=19q→
z/q=19/11
z is multiple of 19
E
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When n is divided by 19, the remainder is 6. When n is divided by 11, 14 Jan 2023, 12:44
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