JEE Advanced 2024 — Set 1
Practice the official JEE Advanced 2024 previous year question paper
About This Paper
This is the official JEE Advanced 2024 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
Let ( ) f x be a continuously differentiable function on the interval (0, ) ∞such that (1) 2 f = and 10 10 9 9 ( ) ( ) lim 1 t x t f x x f t t x → − = − for each 0. x > Then, for all 0, x > ( ) f x is equal to
A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student knows the answers of some questions and guesses the answers for the remaining questions. Whenever the student knows the answer of a question, he gives the correct answer. Assume that the probability of the student giving the correct answer for a question, given that he has guessed it, is 1 . 2 Also assume that the probability of the answer for a question being guessed, given that the student’s answer is correct, is 1 . 6 Then the probability that the student knows the answer of a randomly chosen question is
Let 2 x π π < < be such that 5 cot . 11 x − = Then ( ) ( ) 11 11 sin sin 6 cos6 cos sin 6 cos6 2 2 x x x x x x ⎛ ⎞ ⎛ ⎞ − + + ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ is equal to
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