JEE Main 2017 - 2018 Solved Mathematics Practice Paper Set-II

Time management is the key to success in any engineering entrance examination especially in subjects like Mathematics. In this subject aspirants can’t find the answer without solving the questions. For effective time management in the examination students should solved more and more practice papers.

To help engineering aspirants, Subject Experts of Mathematics have prepared solved practice paper of Mathematics based on the latest pattern of the examination for coming JEE Main entrance examination 2018.

This practice paper will help all aspirants to know the difficulty level of the questions which can be asked in JEE Main Examination 2018.

There are 30 questions in this practice paper of different difficulty level i.e., easy, moderate and tough. In this practice paper, we have tried to cover every important topic of Mathematics like, Trigonometry, Integration, Differentiation, Inverse Trigonometry, Probability, Relations, Functions etc. All questions are of objective type having four options out of which only one is correct.

After attempting this paper, students must revise all the concepts and formula where they have done the wrong answers.

Few sample questions from the Question Paper are given below:

Q. If two events are independent, then

(a) they must be mutually exclusive

(b) the sum of their probabilities must be equal to 1

(c) Both (a) and (b) are correct

(d) None of the above is correct

Sol.

If two events A and B are independent, then we know that

P(A ∩ B) = P(A)×P(B), P (A) ≠ 0, P(B) ≠ 0

Since, A and B have a common outcome.

Further, mutually exclusive events never have a common outcome.

In other words, two independent events having - non-zero probabilities of occurrence cannot be mutually exclusive and conversely, i.e., two mutually exclusive events having non - zero probabilities of outcome cannot be independent.

Q. The interval on which the function f(x) = 2x³ + 9x² + 12x - 1 is decreasing is

(a) [- 1, ∞)                      

(b) [-2, - 1]                    

(c) (- ∞, - 2]                   

(d) [- 1, 1]

Sol.

Q. The equation of tangent to the curve y (1 + x²) = 2 - x, where it crosses X-axis, is

(a) x + 5y = 2                                     

(b) x - 5y = 2

(c) 5x - y = 2                                      

(d) 5x + y = 2

Sol.

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