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Exam Details

JEE MAIN 2017 OFFLINE

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Questions 90
Duration 180 mins
Package IIT-JEE Main - Previous Year Papers

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

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Showing all 90 questions in this paper.

Subject distribution

Physics
30 Qs
Chemistry
30 Qs
Mathematics
30 Qs

Topic distribution

Mechanics
14 Qs
Algebra
14 Qs
Physical Chemistry
13 Qs
Organic Chemistry
11 Qs
Calculus
10 Qs
Electricity
8 Qs
Modern Physics
6 Qs
Inorganic Chemistry
6 Qs
Coordinate Geometry
4 Qs
Trigonometry
2 Qs
Optics
2 Qs

Subtopic distribution

Haloalkanes And Haloarenes
4 Qs
Heat And Thermodynamics
4 Qs
Probability
3 Qs
Current Electricity
3 Qs
Atoms And Nuclei
2 Qs
3D Geometry
2 Qs
Application Of Derivatives
2 Qs
Thermodynamics
2 Qs
Work Power And Energy
2 Qs
Rotational Motion
2 Qs
Capacitor
2 Qs
Dual Nature Of Radiation
2 Qs

Difficulty distribution

Medium 58 64.4%
Easy 31 34.4%
Hard 1 1.1%

Question type distribution

Multiple Choices 90 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2017 · Physics · Modern Physics · Atoms And Nuclei
JEE MAIN 2017 OFFLINE
A radioactive nucleus A with a half life T, decays into a nucleus B. At t = 0, there is no nucleus B. At sometime t, the ratio of the number of B to that of A is 0.3. Then, t is given by :
A
\(t = {T \over {\log (1.3)}}\)
B
\(t = T\log (1.3)\)
C
\(t = {T \over 2}{{\log 2} \over {\log 1.3}}\)
D
\(t = T{{\log 1.3} \over {\log 2}}\)
2
2017 · Chemistry · Physical Chemistry · Solid State
JEE MAIN 2017 OFFLINE
A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is ‘a’, the closest approach between two atoms in metallic crystal will be :
A
\(2\sqrt 2 a\)
B
\(\sqrt 2 a\)
C
\({a \over {\sqrt 2 }}\)
D
2a
3
2017 · Mathematics · Algebra · Sequences And Series
JEE MAIN 2017 OFFLINE
For any three positive real numbers a, b and c,

9(25\({a^2}\) + b2) + 25(c2 - 3\(a\)c) = 15b(3\(a\) + c).
Then
A
b, c and \(a\) are in G.P.
B
b, c and \(a\) are in A.P.
C
\(a\), b and c are in A.P.
D
\(a\), b and c are in G.P.
4
2017 · Physics · Mechanics · Waves
JEE MAIN 2017 OFFLINE
An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer? (speed of light = 3 ×108 ms–1)
A
15.3 GHz
B
10.1 GHz
C
12.1 GHz
D
17.3 GHz
5
2017 · Chemistry · Inorganic Chemistry · S Block Elements
JEE MAIN 2017 OFFLINE
Both lithium and magnesium display several similar properties due to the diagonal relationship; however, the one which is incorrect, is :
A
both form soluble bicarbonates
B
both from nitrides
C
nitrates of both Li and Mg yield NO2 and O2 on heating
D
both form basic carbonates
6
2017 · Mathematics · Algebra · Probability
JEE MAIN 2017 OFFLINE
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :
A
6
B
4
C
\({6 \over {25}}\)
D
\({{12} \over 5}\)