When n is divided by 19, the remainder is 6. When n is divided by 11,

Question

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

ravisinghal · Accepted Answer

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

Celestial09 · Answer

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
Celestial

gracie · Answer

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

bumpbot · Answer

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When n is divided by 19, the remainder is 6. When n is divided by 11,

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When n is divided by 19, the remainder is 6. When n is divided by 11,

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