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

---

---

Video Explanation

---

---

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.
\[ \operatorname{Rem}\left(3^{333} / 11\right)=\operatorname{Rem}\left(3^5 / 11\right)^{66 *} \operatorname{Rem}\left(3^3 / 11\right)=166 * 5=5 \]

---

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

Hence, the answer is '5'

Choice D is the correct answer.

Verbal Ability for CAT | CAT Reading Comprehension

Verbal Ability for CAT| CAT Para Jumble

Verbal Ability for CAT | CAT Sentence Elimination

Verbal Ability for CAT | CAT Paragraph Completion

Verbal Ability for CAT | CAT Critical Reasoning

Verbal Ability for CAT | CAT Word Usage

Verbal Ability for CAT| CAT Para Summary

Verbal Ability for CAT | CAT Text Completion

Verbal Ability for CAT | CAT Sentence Correction