CAT 2023 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 16 : If a certain amount of money is divided equally among \(n\) persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 . Then, the maximum possible value of \(n\) is

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*“If a certain amount of money is divided equally among n persons, each one receives Rs 352 .”*

Let the total amount be equal to T.

\( T = n \times 352 \)

* “However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330”*

\( T \leq 2 \times 506 + ( n - 2 ) \times 330 \)

\( n \times 352 \leq 2 \times 506 + ( n - 2 ) \times 330 \)

\( n \times 352 \leq 352 + n \times 330 \)

\( n \times 22 \leq 352 \)

\( n \leq \frac { 352 } { 22 } \)

\( n \leq 16 \)

So, the maximum value that n can take is 16.

The question is **" If a certain amount of money is divided equally among \(n\) persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 . Then, the maximum possible value of \(n\) is " **

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