Joint Entrance Examination (JEE) is an all India common engineering entrance examination which is conducted for admission in various engineering colleges and courses all over the country. In September 2013, the IIT Council approved the decision of the Joint Admission Board to continue with the two-phase JEE pattern ("Main" followed by "Advanced") for IITs and ISM in 2014. Joint Seat Allocation Authority 2015 (JoSAA 2015) conducted the joint admission process for a total of 18 IITs, ISM Dhanbad, 32 NITs, 18 IIITs and 18 other Government Funded Technical Institutes (GFTIs). The test duration of JEE Main exam is 3 hours. There are three sections in JEE Main namely Physics, Chemistry and Mathematics. A total of 30 questions is asked from each section in JEE Main entrance examination. JEE Main 2017 Examination was held on 2nd April 2017 in offline mode. The difficulty level of this paper was moderate. According to the feedback of students, the Physics and Chemistry Section of the Paper was easy but the Mathematics section of the paper was difficult and questions were tricky. Students can download JEE Main 2017 Question Paper from the link given in this article. The questions asked in this paper will also help in other state engineering entrance examinations like UPSEE/UPTU and WBJEE.
Some of the sample questions from the JEE Main 2017 Question Paper are given below:
Q. A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of
Q. A time dependent force F = 6t acts on particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be
(1) 4.5 J
(2) 22 J
(3) 9 J
(4) 18 J
Q. 1 gram of a carbonate (M2CO3) on treatment with excess HCl produces 0.01186 mole of CO2, The molar mass of M2CO3 in g mol-1 is
Q. The Tyndall effect is observed only when following conditions are satisfied
(a) The diameter of the dispersed particles is much smaller than the wavelength of the light used.
(b) The diameter of the dispersed particle is not much smaller than the wavelength of the light used.
(c) The refractive indices of the dispersed phase and dispersion medium are almost similar in magnitude
(d) The refractive indices of the dispersed phase and dispersion medium differ greatly in magnitude.
(1) (a) and (c)
(2) (b) and (c)
(3) (a) and (d)
(4) (b) and (d)
Q. If S is the set of distinct values of ‘b’ for which the following system of linear equations
x + y + z =1
x+ay+z = 1
ax + b + z = 0
has no solution, then S is:
(1) an infinite set
(2) a finite set containing two or more elements
(3) a singleton
(4) an empty set
Q. A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is: