CAT 2024 Question Paper | Quant Slot 2

CAT Questions

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 1 When $3^{333}$ is divided by 11 , the remainder is

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Video Explanation

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Explanatory Answer

$\operatorname{Rem}\left(3^1 / 11\right)=3$
$\operatorname{Rem}\left(3^2 / 11\right)=9$
$\operatorname{Rem}\left(3^3 / 11\right)=5$
$\operatorname{Rem}\left(3^4 / 11\right)=4$
$\operatorname{Rem}\left(3^5 / 11\right)=1$
$\operatorname{Rem}\left(3^6 / 11\right)=3$
The same cycle repeats after 5 times.
$$\operatorname{Rem}\left(3^{333} / 11\right)=\operatorname{Rem}\left(3^5 / 11\right)^{66 *} \operatorname{Rem}\left(3^3 / 11\right)=166 * 5=5$$

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The question is "When $3^{333}$ is divided by 11 , the remainder is"

Hence, the answer is '5'

Choice D is the correct answer.

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