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Exam Details

AIEEE 2005

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Questions 221
Duration 180 mins
Package IIT-JEE Main - Previous Year Papers

Paper pattern & analysis

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Showing all 221 questions in this paper.

Subject distribution

Physics
74 Qs
Chemistry
74 Qs
Mathematics
73 Qs

Topic distribution

Algebra
36 Qs
Mechanics
35 Qs
Physical Chemistry
30 Qs
Electricity
23 Qs
Calculus
23 Qs
Inorganic Chemistry
22 Qs
Organic Chemistry
22 Qs
Modern Physics
10 Qs
Coordinate Geometry
10 Qs
Optics
6 Qs
Trigonometry
3 Qs
Algebra
1 Qs

Subtopic distribution

Current Electricity
8 Qs
Application Of Derivatives
7 Qs
Quadratic Equation And Inequalities
6 Qs
Atoms And Nuclei
5 Qs
P Block Elements
5 Qs
Vector Algebra
5 Qs
3D Geometry
5 Qs
Definite Integration
5 Qs
Heat And Thermodynamics
5 Qs
Chemical Kinetics And Nuclear Chemistry
5 Qs
D And F Block Elements
5 Qs
Coordination Compounds
5 Qs

Difficulty distribution

Medium 112 50.7%
Easy 109 49.3%

Question type distribution

Multiple Choices 221 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2005 · Physics · Mechanics · Waves
AIEEE 2005
An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ?
A
\(0.5\%\)
B
zero
C
\(20\%\)
D
\(5\%\)
2
2005 · Chemistry · Physical Chemistry · Gaseous State
AIEEE 2005
Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?
A
The most probable speed increases
B
The fraction of the molecules with the most probable speed increases
C
The distribution becomes broader
D
The area under the distribution curve remains the same as under the lower temperature
3
2005 · Mathematics · Algebra · Mathematical Induction
AIEEE 2005
If \(A = \left[ {\matrix{ 1 & 0 \cr 1 & 1 \cr } } \right]\) and \(I = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right],\) then which one of the following holds for all \(n \ge 1,\) by the principle of mathematical induction?
A
\({A^n} = nA - \left( {n - 1} \right){\rm I}\)
B
\({A^n} = {2^{n - 1}}A - \left( {n - 1} \right){\rm I}\)
C
\({A^n} = nA + \left( {n - 1} \right){\rm I}\)
D
\({A^n} = {2^{n - 1}}A + \left( {n - 1} \right){\rm I}\)
4
2005 · Physics · Electricity · Current Electricity
AIEEE 2005
In a potentiometer experiment the balancing with a cell is at length \(240\) \(cm.\) On shunting the cell with a resistance of \(2\Omega ,\) the balancing length becomes \(120\) \(cm\). The internal resistance of the cell is
A
\(0.5\Omega\)
B
\(1\Omega\)
C
\(2\Omega\)
D
\(4\Omega\)
5
2005 · Chemistry · Physical Chemistry · Solid State
AIEEE 2005
An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empirical formula for this compound would be :
A
AB
B
A2B
C
AB3
D
A3B
6
2005 · Mathematics · Algebra · Binomial Theorem
AIEEE 2005
The value of \(\,{}^{50}{C_4} + \sum\limits_{r = 1}^6 {^{56 - r}} {C_3}\) is
A
\({}^{55}{C_4}\)
B
\({}^{55}{C_3}\)
C
\({}^{56}{C_3}\)
D
\({}^{56}{C_4}\)