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Exam Details

AIEEE 2007

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Questions 118
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 118 questions in this paper.

Subject distribution

Physics
40 Qs
Chemistry
40 Qs
Mathematics
38 Qs

Topic distribution

Mechanics
18 Qs
Physical Chemistry
18 Qs
Algebra
17 Qs
Electricity
13 Qs
Calculus
12 Qs
Organic Chemistry
12 Qs
Inorganic Chemistry
10 Qs
Modern Physics
7 Qs
Coordinate Geometry
7 Qs
Trigonometry
2 Qs
Optics
2 Qs

Subtopic distribution

Magnetics
5 Qs
Heat And Thermodynamics
4 Qs
Atoms And Nuclei
4 Qs
Basics Of Organic Chemistry
4 Qs
Simple Harmonic Motion
4 Qs
Chemical Kinetics And Nuclear Chemistry
4 Qs
Chemical Bonding And Molecular Structure
4 Qs
P Block Elements
3 Qs
3D Geometry
3 Qs
Straight Lines And Pair Of Straight Lines
3 Qs
Application Of Derivatives
3 Qs
Ionic Equilibrium
3 Qs

Difficulty distribution

Easy 69 58.5%
Medium 49 41.5%

Question type distribution

Multiple Choices 118 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2007 · Physics · Mechanics · Heat And Thermodynamics
AIEEE 2007
A Carnot engine, having an efficiency of \(\eta = 1/10\) as heat engine, is used as a refrigerator . If the work done on the system is \(10\) \(J\), the amount of energy absorbed from the reservoir at lower temperature is
A
\(100\) \(J\)
B
\(99\) \(J\)
C
\(90\) \(J\)
D
\(1\) \(J\)
2
2007 · Chemistry · Physical Chemistry · Gaseous State
AIEEE 2007
Equal masses of methane and oxygen are mixed in an empty container at 25oC. The fraction of the total pressure exerted by oxygen is
A
2/3
B
1/2
C
1/3 \(\times\) 273/298
D
1/3
3
2007 · Mathematics · Algebra · Binomial Theorem
AIEEE 2007
The sum of the series \({}^{20}{C_0} - {}^{20}{C_1} + {}^{20}{C_2} - {}^{20}{C_3} + .....\, - \,.....\, + {}^{20}{C_{10}}\) is
A
\(0\)
B
\({}^{20}{C_{10}}\)
C
\(- {}^{20}{C_{10}}\)
D
\({1 \over 2}{}^{20}{C_{10}}\)
4
2007 · Physics · Modern Physics · Atoms And Nuclei
AIEEE 2007
The half-life period of a ratio-active element \(X\) is same as the mean life time of another ratio-active element \(Y.\) Initially they have the same number of atoms. Then
A
\(X\) and \(Y\) decay at same rate always
B
\(X\) will decay faster than \(Y\)
C
\(Y\) will decay faster than \(X\)
D
\(X\) and \(Y\) have same decay rate initially
5
2007 · Chemistry · Inorganic Chemistry · P Block Elements
AIEEE 2007
Identify the incorrect statement among the following :
A
Ozone reacts with SO2 to give SO3
B
Silicon reacts with NaOH(aq) in the presence of air to give Na2SiO3 and H2O
C
Cl2 reacts with excess of NH3 to give N2 and HCl
D
Br2 reacts with hot and strong NaOH solution to give NaBr, NaBrO4 and H2O
6
2007 · Mathematics · Algebra · Matrices And Determinants
AIEEE 2007
Let \(A = \left| {\matrix{ 5 & {5\alpha } & \alpha \cr 0 & \alpha & {5\alpha } \cr 0 & 0 & 5 \cr } } \right|.\) If \(\,\,\left| {{A^2}} \right| = 25,\) then \(\,\left| \alpha \right|\) equals
A
\(1/5\)
B
\(5\)
C
\({5^2}\)
D
\(1\)