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Exam Details

IIT JEE 1988

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Questions 49
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 49 questions in this paper.

Subject distribution

Mathematics
32 Qs
Chemistry
14 Qs
Physics
3 Qs

Topic distribution

Algebra
11 Qs
Coordinate Geometry
6 Qs
Physical Chemistry
6 Qs
Algebra
5 Qs
Inorganic Chemistry
4 Qs
Trigonometry
4 Qs
Calculus
4 Qs
Mechanics
3 Qs
Calculus
2 Qs
Physical Chemistry
2 Qs
Inorganic Chemistry
2 Qs

Subtopic distribution

Probability
4 Qs
Structure Of Atom
4 Qs
Straight Lines And Pair Of Straight Lines
3 Qs
Definite Integration
3 Qs
Some Basic Concepts Of Chemistry
3 Qs
Vector Algebra
3 Qs
Chemical Bonding And Molecular Structure
3 Qs
Sequences And Series
3 Qs
Circle
3 Qs
Complex Numbers
2 Qs
Periodic Table And Periodicity
2 Qs
Permutations And Combinations
2 Qs

Difficulty distribution

Medium 25 51%
Easy 20 40.8%
Hard 4 8.2%

Question type distribution

Multiple Choices 28 57.1%
Subjective 13 26.5%
Fill in the blanks 8 16.3%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
1988 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1988
The lines \(2x + 3y + 19 = 0\) and \(9x + 6y - 17 = 0\) cut the coordinates axes in concyclic points.
A
TRUE
B
FALSE
2
1988 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1988
A sample of hydrazine sulphate (N2H6SO4) was dissolved in 100 ml. of water, 10 ml of this solution was reacted with excess of ferric chloride solution and warmed to complete the reaction. Ferrous ion formed was estimated and it required 20 ml of M/50 potassium permanganate solution. Estimate the amount of hydrazine sulphate in one litre of the solution.

Reaction:

4Fe3+ + N2H4 \(\to\) N2 + 4Fe2+ + 4H+

\(MnO_4^-\) + 4Fe2+ + 8H+ \(\to\) Mn2+ + 5Fe3+ + 4H2O
Write your response
3
1988 · Physics · Mechanics · Motion
IIT JEE 1988
A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/hr is
A
1
B
3
C
4
D
\(\sqrt {41}\)
4
1988 · Mathematics · Algebra · Complex Numbers
IIT JEE 1988
The cube roots of unity when represented on Argand diagram form the vertices of an equilateral triangle.
A
TRUE
B
FALSE
5
1988 · Chemistry · Inorganic Chemistry · Periodic Table And Periodicity
IIT JEE 1988
The first ionisation potential of Na, Mg, Al and Si are in the order
A
Na < Mg > Al < Si
B
Na > Mg > Al > Si
C
Na < Mg < Al < Si
D
Na > Mg > Al < Si
6
1988 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 1988
Two bodies M and N of equal masses are suspended from two separate massless springs of spring constant k1 and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of M to that of N is
A
\({{{k_1}} \over {{k_2}}}\)
B
\(\sqrt {{{{k_1}} \over {{k_2}}}}\)
C
\({{{k_2}} \over {{k_1}}}\)
D
\(\sqrt {{{{k_2}} \over {{k_1}}}}\)