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Exam Details

IIT JEE 1978

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Questions 30
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 30 questions in this paper.

Subject distribution

Mathematics
20 Qs
Chemistry
8 Qs
Physics
2 Qs

Topic distribution

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

Subtopic distribution

Some Basic Concepts Of Chemistry
7 Qs
Quadratic Equation And Inequalities
7 Qs
Straight Lines And Pair Of Straight Lines
3 Qs
Complex Numbers
2 Qs
3D Geometry
1 Qs
Permutations And Combinations
1 Qs
S Block Elements
1 Qs
Motion
1 Qs
Laws Of Motion
1 Qs
Probability
1 Qs
Trigonometric Functions And Equations
1 Qs
Properties Of Triangle
1 Qs

Difficulty distribution

Medium 20 66.7%
Easy 8 26.7%
Hard 2 6.7%

Question type distribution

Subjective 27 90%
Multiple Choices 3 10%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
1978 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1978
Naturally occurring boron consists of two isotopes whose atomic weighs are 10.01 and 11.01. The atomic weight of natural oron is 10.81. Calculate the percentage of each isotope in natural boron.
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2
1978 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1978
Sketch the solution set of the following system of inequalities: \({x^2} + {y^2} - 2x \ge 0;\,\,3x - y - 12 \le 0;\,\,y - x \le 0;\,\,y \ge 0.\)
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3
1978 · Physics · Mechanics · Motion
IIT JEE 1978
A car accelerates from rest at a constant rate \(\alpha\) for some time after which it decelerates at a constant rate \(\beta\) to come to rest. If the total time lapse is t seconds, evaluate.

(i) maximum velocity reached, and

(ii) the total distance travelled.

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4
1978 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1978
What weight of AgCl will be precipitated when a solution containing 4.77 g of NaCl is added to a solution of 5.77g of AgNO3?
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5
1978 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1978
Show that the square of \(\,{{\sqrt {26 - 15\sqrt 3 } } \over {5\sqrt 2 - \sqrt {38 + 5\sqrt 3 } }}\) is a rational number.
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6
1978 · Physics · Mechanics · Laws Of Motion
IIT JEE 1978
A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. What is the tension in the rope at a distance \(l\) from the end where the force is applied?
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