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Exam Details

JEE MAIN 2015 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

Algebra
15 Qs
Mechanics
13 Qs
Inorganic Chemistry
12 Qs
Electricity
10 Qs
Physical Chemistry
9 Qs
Organic Chemistry
9 Qs
Calculus
8 Qs
Coordinate Geometry
5 Qs
Modern Physics
4 Qs
Optics
3 Qs
Trigonometry
2 Qs

Subtopic distribution

P Block Elements
3 Qs
Heat And Thermodynamics
3 Qs
Simple Harmonic Motion
3 Qs
Sequences And Series
2 Qs
3D Geometry
2 Qs
Circle
2 Qs
Application Of Derivatives
2 Qs
Center Of Mass
2 Qs
Electrostatics
2 Qs
Current Electricity
2 Qs
Magnetics
2 Qs
Alternating Current
2 Qs

Difficulty distribution

Medium 60 66.7%
Easy 29 32.2%
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
2015 · Physics · Mechanics · Waves
JEE MAIN 2015 OFFLINE
A train is moving on a straight track with speed \(20\,m{s^{ - 1}}.\) It is blowing its whistle at the frequency of \(1000\) \(Hz\). The percentage change in the frequency heard by a person standing near the track as the train passes him is (speed of sound \(= 320\,m{s^{ - 1}}\)) close to :
A
\(18\%\)
B
\(24\%\)
C
\(6\%\)
D
\(12\%\)
2
2015 · Chemistry · Physical Chemistry · Solid State
JEE MAIN 2015 OFFLINE
Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 Å . The radius of sodium atom is approximately :
A
5.72 Å
B
0.93 Å
C
1.86 Å
D
3.22 Å
3
2015 · Mathematics · Algebra · Binomial Theorem
JEE MAIN 2015 OFFLINE
The sum of coefficients of integral power of \(x\) in the binomial expansion \({\left( {1 - 2\sqrt x } \right)^{50}}\) is :
A
\({1 \over 2}\left( {{3^{50}} - 1} \right)\)
B
\({1 \over 2}\left( {{2^{50}} + 1} \right)\)
C
\({1 \over 2}\left( {{3^{50}} + 1} \right)\)
D
\({1 \over 2}\left( {{3^{50}}} \right)\)
4
2015 · Physics · Modern Physics · Communication Systems
JEE MAIN 2015 OFFLINE
A signal of \(5\) \(kHz\) frequency is amplitude modulated on a carrier wave of frequency \(2\) \(MHz.\) The frequencies of the resultant signal is/are :
A
\(2005\) \(kHz, 2000\) \(kHz\) and \(1995\) \(kHz\)
B
\(2000\) \(kHz\) and \(1995\) \(kHz\)
C
\(2\) \(MHz\) only
D
\(2005\) \(kHz\) and \(1995\) \(kHz\)
5
2015 · Chemistry · Inorganic Chemistry · Hydrogen
JEE MAIN 2015 OFFLINE
From the following statements regarding H2O2, choose the incorrect statement :
A
It decomposes on exposure to light
B
It has to be stored in plastic or wax lined glass bottles in dark
C
It has to be kept away from dust
D
It can act only as an oxidizing agent
6
2015 · Mathematics · Algebra · Sequences And Series
JEE MAIN 2015 OFFLINE
The sum of first 9 terms of the series.

$${{{1^3}} \over 1} + {{{1^3} + {2^3}} \over {1 + 3}} + {{{1^3} + {2^3} + {3^3}} \over {1 + 3 + 5}} + ......$$
A
142
B
192
C
71
D
96