CAT 2022 Quant was dominated by Arithmetic followed by Algebra. 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 20 : A donation box can receive only cheques of �, �, and �. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of �. Then, the maximum possible number of cheques of � that the donation box may have contained, is

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Since the total donation amount is 15,250 rupees, there should be at least one 250 rupee note. The remaining 15000 can exist as thirty 500 rupee notes.

Rs. 250 | Rs. 500 | Rs. 100 | Number of notes |

1 | 30 | 0 | 31 |

Rs. 250 | Rs. 500 | Rs. 100 | Number of notes |

1 | 30 | 0 | 31 |

1 | 29 | 5 | 35 |

We add 4 new notes in each conversion, Our target is to reach 100 notes from 35 notes, the closest we can got to 100 by adding only 4’s to 35 is 99 99 = 35 + 4 (16) So this happens after 16 steps | |||

1 | 13 | 85 | 99 |

3 | 12 | 85 | 100 |

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