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Exam Details

JEE ADVANCED 2018 PAPER 1 OFFLINE

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Questions 54
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 54 questions in this paper.

Subject distribution

Chemistry
18 Qs
Mathematics
18 Qs
Physics
18 Qs

Topic distribution

Mechanics
11 Qs
Physical Chemistry
7 Qs
Calculus
6 Qs
Electricity
6 Qs
Inorganic Chemistry
5 Qs
Organic Chemistry
5 Qs
Algebra
5 Qs
Algebra
3 Qs
Trigonometry
2 Qs
Coordinate Geometry
2 Qs
Optics
1 Qs
Organic Chemistry
1 Qs

Subtopic distribution

Aldehydes Ketones And Carboxylic Acids
5 Qs
Rotational Motion
4 Qs
Limits Continuity And Differentiability
3 Qs
Magnetism
2 Qs
Solutions
2 Qs
Coordination Compounds
2 Qs
Application Of Integration
2 Qs
Properties Of Matter
2 Qs
P Block Elements
2 Qs
Electromagnetic Waves
2 Qs
Probability
2 Qs
Units And Measurements
2 Qs

Difficulty distribution

Medium 33 61.1%
Hard 16 29.6%
Easy 5 9.3%

Question type distribution

Multiple Choices 30 55.6%
Numerical Answer Type (NAT) 24 44.4%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2018 · Chemistry · Inorganic Chemistry · D And F Block Elements
JEE ADVANCED 2018 PAPER 1 OFFLINE
Among the species given below, the total number of diamagnetic species is _____________.

\(H\) atom, \(N{O_2}\) monomer, \({O_2}^ -\) (superoxide), dimeric sulphur in vapor phase, \(M{n_3}{O_4},\,\,\) \({\left( {N{H_4}} \right)_2}\left[ {FeC{l_4}} \right],\) \({\left( {N{H_4}} \right)_2}\left[ {NiC{l_4}} \right],\,\) \(\,{K_2}Mn{O_4},\,\)\({K_2}Cr{O_4}\)
Enter a numerical response
2
2018 · Mathematics · Calculus · Limits Continuity And Differentiability
JEE ADVANCED 2018 PAPER 1 OFFLINE
For every twice differentiable function \(f:R \to [ - 2,2]\) with \({(f(0))^2} + {(f'(0))^2} = 85\), which of the following statement(s) is(are) TRUE?
A
There exist r, s \(\in\) R, where r < s, such that f is one-one on the open interval (r, s)
B
There exists x0 \(\in\) (\(-\)4, 0) such that |f'(x0)| \(\le\) 1
C
\(\mathop {\lim }\limits_{x \to \infty } f(x) = 1\)
D
There exists \(\alpha\)\(\in\)(\(-\)4, 4) such that f(\(\alpha\)) + f"(\(\alpha\)) = 0 and f'(\(\alpha\)) \(\ne\) 0
3
2018 · Physics · Mechanics · Rotational Motion
JEE ADVANCED 2018 PAPER 1 OFFLINE
A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle \({60^ \circ }\) with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is \(\left( {2 - \sqrt 3 } \right)/\sqrt {10} \,\,s,\) then the height of the top of the inclined plane, in metres is ______________ . Take \(g = 10\,\,m{s^{ - 2}}.\)
Enter a numerical response
4
2018 · Chemistry · Physical Chemistry · Chemical Equilibrium
JEE ADVANCED 2018 PAPER 1 OFFLINE
A closed tank has two compartments \(A\) and \(B,\) both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure \(1.\)). If the old partition is replaced by a new partition which can slide and conduct heat but does NOT allow the gas to leak across (Figure \(2\)), the volume (in \({m^3}\)) of the compartment A after the system attains equilibrium is ______________.

JEE Advanced 2018 Paper 1 Offline Chemistry - Chemical Equilibrium Question 8 English
Enter a numerical response
5
2018 · Mathematics · Calculus · Limits Continuity And Differentiability
JEE ADVANCED 2018 PAPER 1 OFFLINE
The value of \({({({\log _2}9)^2})^{{1 \over {{{\log }_2}({{\log }_2}9)}}}} \times {(\sqrt 7 )^{{1 \over {{{\log }_4}7}}}}\) is ....................
Enter a numerical response
6
2018 · Physics · Mechanics · Work Power And Energy
JEE ADVANCED 2018 PAPER 1 OFFLINE
A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is \(2.0\,N{m^{ - 1}}\) and the mass of the block is \(2.0\) \(kg.\) Ignore the mass of the spring. Initially the spring is an unstretched condition. Another block of mass \(1.0\) \(kg\) moving with a speed of \(2.0\) \(m{s^{ - 1}}\) collides elastically with the first block. The collision is such that the \(2.0\) \(kg\) block does not hit the wall. The distance, in metres, between the two blocks when the spring returns to its unstretched position for the first time after the collision is __________.

JEE Advanced 2018 Paper 1 Offline Physics - Work Power & Energy Question 17 English
Enter a numerical response