gmatophobia wrote:
RenB wrote:
When X is divided by 23, the remainder is 12. When X is divided by 29, the quotient is equal to Q, and the remainder is 12. Q must be divisible by which of the following numbers?
A. 6
B. 12
C. 23
D. 29
E.52
A. 6
B. 12
C. 23
D. 29
E.52
When X is divided by 23, the remainder is12.
X = 23p +12
When X is divided by 29, the quotient is equal to Q, and the remainder is12
X = 29Q + 12
Equating both the equations
23p + 12 = 29Q +12
\( \frac{23}{29} p\) =Q
As\( \frac{p}{29}\) is an integer, Q is a multiple of23
OptionC
Since Q is an integer. P has to be a multiple of\(29\) too. Hence Q is a multiple of both\(23\) and\(29\) and hence divisible by both. Since both\(23\) and\(29\) are in the answer choices, how have we ruled out\(29\) and chosen only\(23\) ?
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Statistics : Posted by stne • on 16 Feb 2024, 21:04 • Replies 3 • Views 272
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