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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 27 August 2021, Shift 2, Maths Q64

Question 64 of 90 in this shift, Maths question 4 of 30, Section A.

Let A=([x+1][x+2][x+3][x][x+3][x+3][x][x+2][x+4])A = \begin{pmatrix} [x+1] & [x+2] & [x+3] \\ [x] & [x+3] & [x+3] \\ [x] & [x+2] & [x+4] \end{pmatrix}, where [t][t] denotes the greatest integer less than or equal to t. If det⁡(A)=192\det(A) = 192, then the set of values of xx is the interval :
  1. (1)[68,69)[68, 69)
  2. (2)[65,66)[65, 66)
  3. (3)[62,63)[62, 63)Official answer
  4. (4)[60,61)[60, 61)

Official answer

Option 3

NTA final key.

Chapter
Determinants
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.