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Exam Details

JEE ADVANCED 2014 PAPER 1 OFFLINE

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Questions 60
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 60 questions in this paper.

Subject distribution

Physics
20 Qs
Mathematics
20 Qs
Chemistry
20 Qs

Topic distribution

Mechanics
12 Qs
Calculus
8 Qs
Physical Chemistry
8 Qs
Algebra
8 Qs
Electricity
6 Qs
Inorganic Chemistry
6 Qs
Organic Chemistry
6 Qs
Coordinate Geometry
2 Qs
Optics
2 Qs
Trigonometry
1 Qs
Calculus
1 Qs

Subtopic distribution

Definite Integration
3 Qs
D And F Block Elements
3 Qs
Limits Continuity And Differentiability
3 Qs
Units And Measurements
2 Qs
Motion
2 Qs
Current Electricity
2 Qs
Rotational Motion
2 Qs
Some Basic Concepts Of Chemistry
2 Qs
Chemical Bonding And Molecular Structure
2 Qs
Redox Reactions
2 Qs
Permutations And Combinations
2 Qs
Basics Of Organic Chemistry
2 Qs

Difficulty distribution

Medium 44 73.3%
Easy 11 18.3%
Hard 5 8.3%

Question type distribution

Numerical Answer Type (NAT) 30 50%
Multiple Choices 30 50%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2014 · Physics · Mechanics · Units And Measurements
JEE ADVANCED 2014 PAPER 1 OFFLINE
During Searle's experiment, zero of the Vernier scale lies between 3.20 \(\times\) 10-2 m and 3.25 \(\times\) 10-2 m of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of 2 kg is applied to the wire, the zero of the Vernier scale still lies between 3.20 \(\times\) 10-2 m and 3.25 \(\times\) 10-2 m of the main scale but now the 45th division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is 2 m and its cross-sectional area is 8 \(\times\) 10-7 m2. The least count of the Vernier scale is 1.0 \(\times\) 10-5 m. The maximum percentage error in the Young's modulus of the wire is
Enter a numerical response
2
2014 · Mathematics · Calculus · Definite Integration
JEE ADVANCED 2014 PAPER 1 OFFLINE
Let a \(\in\) R and f : R \(\to\) R be given by f(x) = x5 \(-\) 5x + a. Then,
A
f(x) has three real roots , if a > 4
B
f(x) has only one real root, if a > 4
C
f(x) has three real roots, if a < \(-\)4
D
f(x) has three real roots, if \(-\)4 < a < 4
3
2014 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
JEE ADVANCED 2014 PAPER 1 OFFLINE
A compound H2X with molar weight of 80g is dissolved in a solvent having density of 0.4 gml–1 . Assuming no change in volume upon dissolution, the molality of a 3.2 molar solution is
Enter a numerical response
4
2014 · Physics · Mechanics · Motion
JEE ADVANCED 2014 PAPER 1 OFFLINE
Airplanes A and B are flying with constant velocity in the same vertical plane at angles \(30^\circ\) and \(60^\circ\) with respect to the horizontal respectively as shown in the figure. The speed of A is \(100\sqrt 3\) m/s. At time t = 0 s, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at t = t0, A just escapes being hit by B, t0 in seconds is

JEE Advanced 2014 Paper 1 Offline Physics - Motion Question 11 English
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5
2014 · Mathematics · Algebra · Permutations And Combinations
JEE ADVANCED 2014 PAPER 1 OFFLINE
Let \({n_1}\, < {n_2}\, < \,{n_3}\, < \,{n_4}\, < {n_5}\) be positive integers such that \({n_1}\, + {n_2}\, + \,{n_3}\, + \,{n_4}\, + {n_5}\) = 20. Then the number of such destinct arrangements \(\,({n_1}\,,\,{n_2},\,\,{n_3},\,\,{n_4}\,,{n_5})\) is
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6
2014 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
JEE ADVANCED 2014 PAPER 1 OFFLINE
If the value of Avogadro number is 6.023 \(\times\) 1023 mol-1 and the value of Boltzmann constant is 1.380 \(\times\) 10-23 J K-1, then the number of significant digits in the calculated value of the universal gas constant is
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