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Exam Details

IIT JEE 2005 SCREENING

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Questions 27
Duration 180 mins
Package IIT-JEE Advance - 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 27 questions in this paper.

Subject distribution

Mathematics
22 Qs
Chemistry
3 Qs
Physics
2 Qs

Topic distribution

Calculus
9 Qs
Algebra
8 Qs
Coordinate Geometry
3 Qs
Physical Chemistry
2 Qs
Mechanics
2 Qs
Trigonometry
2 Qs
Inorganic Chemistry
1 Qs

Subtopic distribution

Differential Equations
4 Qs
Permutations And Combinations
2 Qs
Structure Of Atom
1 Qs
Solutions
1 Qs
Sequences And Series
1 Qs
Chemical Bonding And Molecular Structure
1 Qs
Units And Measurements
1 Qs
Mathematical Induction And Binomial Theorem
1 Qs
Trigonometric Functions And Equations
1 Qs
Vector Algebra
1 Qs
Complex Numbers
1 Qs
Probability
1 Qs

Difficulty distribution

Medium 21 77.8%
Easy 4 14.8%
Hard 2 7.4%

Question type distribution

Multiple Choices 27 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2005 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 2005 SCREENING
The number of radial nodes of 3s and 2p orbitals are respectively
A
2, 0
B
0, 2
C
1, 2
D
2, 1
2
2005 · Mathematics · Algebra · Permutations And Combinations
IIT JEE 2005 SCREENING
If the LCM of p, q is \({r^2}\,{r^4}\,{s^2}\), where r, s, t are prime numbers and p, q are the positive integers then number of ordered pair (p, q) is
A
252
B
254
C
225
D
224
3
2005 · Physics · Mechanics · Units And Measurements
IIT JEE 2005 SCREENING
Which of the following set have different dimensions?
A
Pressure, Young's modulus, Stress
B
EMF, Potential difference, Electric potential
C
Heat, Work done, Energy
D
Dipole moment, Electric flux, Electric field
4
2005 · Chemistry · Physical Chemistry · Solutions
IIT JEE 2005 SCREENING
The elevation in boiling point of a solution of 13.44 g of CuCl2 in 1kg of water using the following information will be (Molecular weight of CuCl2 = 134.4 and Kb = 0.52 K molal-1)
A
0.16
B
0.05
C
0.1
D
0.2
5
2005 · Mathematics · Algebra · Sequences And Series
IIT JEE 2005 SCREENING
In the quadratic equation \(\,\,a{x^2} + bx + c = 0,\) \(\Delta\) \(= {b^2} - 4ac\) and \(\alpha + \beta ,\,{\alpha ^2} + {\beta ^2},\,{\alpha ^3} + {\beta ^3},\) are in G.P. where \(\alpha ,\beta\) are the root of \(\,\,a{x^2} + bx + c = 0,\) then
A
\(\Delta \ne 0\)
B
\(b\Delta = 0\)
C
\(c\Delta = 0\)
D
\(\Delta = 0\)
6
2005 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2005 SCREENING
A simple pendulum has time period T1. The point of suspension is now moved upward according to the relation y = Kt2, (K = 1 m/s2) where y is the vertical displacement. The time period now become T2. The ratio of \({{T_1^2} \over {T_2^2}}\) is (g = 10 m/s2)
A
\({5 \over 6}\)
B
\({6 \over 5}\)
C
1
D
\({4 \over 5}\)