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Exam Details

IIT JEE 1992

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Questions 40
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 40 questions in this paper.

Subject distribution

Mathematics
23 Qs
Chemistry
17 Qs

Topic distribution

Algebra
8 Qs
Inorganic Chemistry
7 Qs
Physical Chemistry
6 Qs
Coordinate Geometry
4 Qs
Calculus
4 Qs
Trigonometry
3 Qs
Physical Chemistry
3 Qs
Calculus
2 Qs
Algebra
2 Qs
Inorganic Chemistry
1 Qs

Subtopic distribution

Chemical Bonding And Molecular Structure
5 Qs
Mathematical Induction And Binomial Theorem
3 Qs
Probability
3 Qs
Application Of Derivatives
3 Qs
Some Basic Concepts Of Chemistry
2 Qs
Trigonometric Functions And Equations
2 Qs
Gaseous State
2 Qs
Structure Of Atom
2 Qs
Circle
2 Qs
Straight Lines And Pair Of Straight Lines
2 Qs
Electrochemistry
1 Qs
Properties Of Triangle
1 Qs

Difficulty distribution

Medium 22 55%
Easy 13 32.5%
Hard 5 12.5%

Question type distribution

Subjective 19 47.5%
Multiple Choices 19 47.5%
Numerical Answer Type (NAT) 1 2.5%
Fill in the blanks 1 2.5%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
1992 · Chemistry · Physical Chemistry · Electrochemistry
IIT JEE 1992
For the galvanic cell
Ag | AgCl(s), KCl (0.2M) || KBr (0.001M), AgBr(s) | Ag
Calculate the EMF generated and assign correct polarity to each electrode for a spontaneous process after taking into account the cell reaction at 25oC.
[Ksp(AgCl) = 2.8 \(times\) 10-10; Ksp(AgBr) = 3.3 \(times\) 10-13]
Write your response
2
1992 · Mathematics · Algebra · Mathematical Induction And Binomial Theorem
IIT JEE 1992
If \(\sum\limits_{r = 0}^{2n} {{a_r}{{\left( {x - 2} \right)}^r}\,\, = \sum\limits_{r = 0}^{2n} {{b_r}{{\left( {x - 3} \right)}^r}} }\) and \({a_k} = 1\) for all \(k \ge n,\) then show that \({b_n} = {}^{2n + 1}{C_{n + 1}}\)
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3
1992 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1992
One gram of commercial AgNO3 is dissolved in 50 ml. of water. It is treated with 50 ml. of a KI solution. The silver iodide thus precipitated is filtered off. Excess of KI in the filterate is titrated with (M/10) KIO3 solution in presence of 6M HCl till all I- ions are converted into ICl. It requires 50 ml. of (M/10) KIO3 solution. 20 ml. of the same stock solution of KI requires 30 ml. of (M/10) KIO3 under similar conditions. Calculate the percentage of AgNO3 in the sample.
(Reaction : KIO3 + 2KI + 6HCl \(\to\) 3ICl + 3KCl + 3H2O)
Write your response
4
1992 · Mathematics · Trigonometry · Trigonometric Functions And Equations
IIT JEE 1992
Show that the value of \({{\tan x} \over {\tan 3x}},\) wherever defined never lies between \({1 \over 3}\) and 3.
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5
1992 · Chemistry · Physical Chemistry · Gaseous State
IIT JEE 1992
At 27oC, hydrogen is leaked through a tiny hole into a vessel for 20 minutes. Another unknown gas at the same temperature and pressure as that of H2 is leaked through the same hole for 20 minutes After the effusion of the gases the mixture exerts a pressure of 6 atmosphere. The hydrogen content of the mixture is 0.7 mole. If the volume of ther container is 3 litres, what is the molecular weight of the unknown gas?
Enter a numerical response
6
1992 · Mathematics · Trigonometry · Properties Of Triangle
IIT JEE 1992
Three circles touch the one another externally. The tangent at their point of contact meet at a point whose distance from a point of contact is \(4\). Find the ratio of the product of the radii to the sum of the radii of the circles.
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