JEE Advanced 2022 — Set 1
Practice the official JEE Advanced 2022 previous year question paper
About This Paper
This is the official JEE Advanced 2022 examination paper, Set 1. The paper contains 54 multiple-choice questions.
The exam duration is 180 minutes.
Each correct answer carries 3.0 mark with a deduction of 1.0 for wrong answers.
Joint Entrance Examination (Advanced) — the gateway to IITs. Two papers (Physics, Chemistry, Mathematics), 3 hours each. Multiple question types: MCQ single/multiple, integer, matrix match.
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Sample Questions
Considering only the principal values of the inverse trigonometric functions, the value of 3 2 cos−1 √ 2 2 + π2 + 1 4 sin−1 2√2 π 2 + π2 + tan−1 √2 π is __________ .
Let 𝛼 be a positive real number. Let 𝑓: ℝ→ℝ and 𝑔: (𝛼, ∞) →ℝ be the functions defined by 𝑓(𝑥) = sin(𝜋𝑥 12) and 𝑔(𝑥) = 2 loge ( √𝑥−√𝛼 ) loge ( 𝑒√𝑥−𝑒√𝛼 ) . Then the value of lim 𝑥→𝛼+ 𝑓(𝑔(𝑥)) is __________.
In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons had symptom of cough, 220 persons had symptom of breathing problem, 330 persons had symptom of fever or cough or both, 350 persons had symptom of cough or breathing problem or both, 340 persons had symptom of fever or breathing problem or both, 30 persons had all three symptoms (fever, cough and breathing problem). If a person is chosen randomly from these 900 persons, then the probability that the person has at most one symptom is _____________.
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