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Exam Details

JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT

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Questions 90
Duration 180 mins
Package IIT-JEE Main - 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 90 questions in this paper.

Subject distribution

Physics
30 Qs
Chemistry
30 Qs
Mathematics
30 Qs

Topic distribution

Algebra
14 Qs
Mechanics
14 Qs
Inorganic Chemistry
11 Qs
Organic Chemistry
11 Qs
Calculus
9 Qs
Electricity
9 Qs
Physical Chemistry
8 Qs
Modern Physics
5 Qs
Coordinate Geometry
5 Qs
Trigonometry
2 Qs
Optics
2 Qs

Subtopic distribution

Differential Equations
3 Qs
Heat And Thermodynamics
3 Qs
Practical Organic Chemistry
3 Qs
Electronic Devices
2 Qs
P Block Elements
2 Qs
Sequences And Series
2 Qs
3D Geometry
2 Qs
Definite Integration
2 Qs
Ellipse
2 Qs
Current Electricity
2 Qs
Magnetics
2 Qs
D And F Block Elements
2 Qs

Difficulty distribution

Medium 61 67.8%
Easy 28 31.1%
Hard 1 1.1%

Question type distribution

Multiple Choices 60 66.7%
Numerical Answer Type (NAT) 30 33.3%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2021 · Physics · Modern Physics · Atoms And Nuclei
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
There are 1010 radioactive nuclei in a given radioactive element, its half-life time is 1 minute. How many nuclei will remain after 30 seconds? \(\left( {\sqrt 2 = 1.414} \right)\)
A
2 \(\times\) 1010
B
7 \(\times\) 109
C
105
D
4 \(\times\) 1010
2
2021 · Chemistry · Physical Chemistry · Gaseous State
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
The unit of the van der Waals gas equation parameter 'a' in \(\left( {P + {{a{n^2}} \over {{V^2}}}} \right)(V - nb) = nRT\) is :
A
kg m s\(-\)2
B
dm3 mol\(-\)1
C
kg m s\(-\)1
D
atm dm6 mol\(-\)2
3
2021 · Mathematics · Algebra · Sequences And Series
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
If for x, y \(\in\) R, x > 0, y = log10x + log10x1/3 + log10x1/9 + ...... upto \(\infty\) terms

and \({{2 + 4 + 6 + .... + 2y} \over {3 + 6 + 9 + ..... + 3y}} = {4 \over {{{\log }_{10}}x}}\), then the ordered pair (x, y) is equal to :
A
(106, 6)
B
(104, 6)
C
(102, 3)
D
(106, 9)
4
2021 · Physics · Modern Physics · Electronic Devices
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
For a transistor in CE mode to be used as an amplifier, it must be operated in :
A
Both cut-off and Saturation
B
Saturation region only
C
Cut-off region only
D
The active region only
5
2021 · Chemistry · Inorganic Chemistry · Isolation Of Elements
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
Which refining process is generally used in the purification of low melting metals?
A
Chromatographic method
B
Liquation
C
Electrolysis
D
Zone refining
6
2021 · Mathematics · Algebra · Sequences And Series
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
If 0 < x < 1, then \({3 \over 2}{x^2} + {5 \over 3}{x^3} + {7 \over 4}{x^4} + .....\), is equal to :
A
\(x\left( {{{1 + x} \over {1 - x}}} \right) + {\log _e}(1 - x)\)
B
\(x\left( {{{1 - x} \over {1 + x}}} \right) + {\log _e}(1 - x)\)
C
\({{1 - x} \over {1 + x}} + {\log _e}(1 - x)\)
D
\({{1 + x} \over {1 - x}} + {\log _e}(1 - x)\)