iran-konkur 2021 Q134

iran-konkur · Other · konkur-riazi_1400_specialized Number Theory Congruence Reasoning and Parity Arguments
134- If the integer part of dividing natural number $a > 9$ by 11 is 3 more than its remainder, what is the probability that $9 - a$ is divisible by 24?
(1) $\dfrac{13}{22}$ (2) $\dfrac{6}{11}$ (3) $\dfrac{1}{2}$ (4) $\dfrac{5}{11}$
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\textbf{134-} If the integer part of dividing natural number $a > 9$ by 11 is 3 more than its remainder, what is the probability that $9 - a$ is divisible by 24?

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(1) $\dfrac{13}{22}$ \hfill (2) $\dfrac{6}{11}$ \hfill (3) $\dfrac{1}{2}$ \hfill (4) $\dfrac{5}{11}$

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