Exam Details
IIT JEE 1991
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Questions
45
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
Paper pattern & analysis
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Topic distribution
Subtopic distribution
Difficulty distribution
45questions
Medium
30
66.7%
Easy
11
24.4%
Hard
4
8.9%
Question type distribution
45questions
Subjective
32
71.1%
Multiple Choices
10
22.2%
Fill in the blanks
3
6.7%
Syllabus
Full Syllabus
Sample questions from this paper
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1991 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1991
A 1.0 g sample of Fe2O3 solid of 55.2% purity is dissolved in acid and reduced by heating the solution with zinc dust. The resultant solution is cooled and made upto 100.0 ml. An aliquot of 25.0 ml of this solution requires 17.0 ml of 0.0167M solution of an oxidant for titration. Calculate the number of electrons taken by the oxidant in the reaction of the above titration.
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1991 · Mathematics · Algebra · Sequences And Series
IIT JEE 1991
Let p be the first of the n arithmetic means between two numbers and q the first of n harmonic means between the same numbers. Show that q does not lie between p and \(\,{\left( {{{n + 1} \over {n - 1}}} \right)^2}\,p\).
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1991 · Chemistry · Physical Chemistry · Redox Reactions
IIT JEE 1991
The volume strength of 1.5 N H2O2 solution is
1991 · Mathematics · Algebra · Probability
IIT JEE 1991
In a test an examine either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he make a guess is \(1/3\) and the probability that he copies the answer is \(1/6\). The probability that his answer is correct given that he copied it, is \(1/8\). Find the probability that he knew the answer to the questions given that he correctly answered it.
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1991 · Chemistry · Physical Chemistry · Gaseous State
IIT JEE 1991
Calculate the volume occupied by 5.0 g of acetylene gas at 50oC and 740 mm pressure.
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1991 · Mathematics · Trigonometry · Properties Of Triangle
IIT JEE 1991
In a triangle of base a the ratio of the other two sides is \(r\left( { < 1} \right)\). Show that the altitude of the triangle is less than of equal to \({{ar} \over {1 - {r^2}}}\)
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