CAT 2022 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 12

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 12 : The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is

  1. 1440
  2. 1200
  3. 1420
  4. 1480


Video Explanation


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Explanatory Answer

Possibility Count
The number of 6-digit integers that can be formed is 600.
Possibility Count
The number of 5-digit integers that can be formed is 600.
Possibility Count
The number of 4-digit integers that can be formed is 240.
The total number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is 600 + 600 + 240 = 1440


The question is " The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is "

Hence, the answer is '1440'

Choice A is the correct answer.

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