Joint Entrance Examination

Graduate Aptitude Test in Engineering

NEW

New Website Launch

Experience the best way to solve previous year questions with **mock
tests** (very detailed analysis), **bookmark your favourite questions**, **practice** etc...

1

MCQ (Single Correct Answer)

A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when : (i) they are moving in the same direction , and (ii) in the opposite direction is :

A

$${{25} \over {11}}$$

B

$${3 \over 2}$$

C

$${{11} \over 5}$$

D

$${5 \over 2}$$

The total distance to be travelled by the train is
60 + 120 = 180 m.

When the trains are moving in the same direction, relative velocity is

v_{1}
– v_{2}
= 80 – 30 = 50 km hr^{–1}

So time taken to cross each other,

t_{1} = $${{180} \over {50 \times {{{{10}^3}} \over {3600}}}}$$

When the trains are moving in opposite direction, relative velocity is

|v_{1}
– (–v_{2}
)| = 80 + 30 = 110 km hr^{–1}

$$ \therefore $$ Time taken to cross each other

t_{2} = $${{180} \over {110 \times {{{{10}^3}} \over {3600}}}}$$

$$ \therefore $$ $${{{t_1}} \over {{t_2}}} = {{{{180} \over {50 \times {{{{10}^3}} \over {3600}}}}} \over {{{180} \over {110 \times {{{{10}^3}} \over {3600}}}}}}$$ = $${{11} \over 5}$$

When the trains are moving in the same direction, relative velocity is

v

So time taken to cross each other,

t

When the trains are moving in opposite direction, relative velocity is

|v

$$ \therefore $$ Time taken to cross each other

t

$$ \therefore $$ $${{{t_1}} \over {{t_2}}} = {{{{180} \over {50 \times {{{{10}^3}} \over {3600}}}}} \over {{{180} \over {110 \times {{{{10}^3}} \over {3600}}}}}}$$ = $${{11} \over 5}$$

2

MCQ (Single Correct Answer)

A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60^{o} with ground level. But he finds the aeroplane right vertically above his position. If v is the speed of sound, speed of the plane is :

A

$${{\sqrt 3 } \over 2}$$v

B

$${{2v} \over {\sqrt 3 }}$$

C

v

D

$${v \over 2}$$

AB = V

BC = Vt

cos60

$${1 \over 2} = {{{V_P} \times t} \over {Vt}}$$

V

3

MCQ (Single Correct Answer)

A particle moves from the point $$\left( {2.0\widehat i + 4.0\widehat j} \right)$$ m, at t = 0, with an initial velocity $$\left( {5.0\widehat i + 4.0\widehat j} \right)$$ ms^{$$-$$1}. It is acted upon by a constant force which produces a constant acceleration $$\left( {4.0\widehat i + 4.0\widehat j} \right)$$ ms^{$$-$$2}. What is the distance of the particle from the origin at time 2 s?

A

15 m

B

$$20\sqrt 2 $$ m

C

$$10\sqrt 2 $$ m

D

5 m

$$\overrightarrow S = \left( {5\widehat i + 4} \right)2 + {1 \over 2}\left( {4\widehat i + 4\widehat j} \right)4$$

$$ = 10\widehat i + 8\widehat j + 8\widehat i + 8\widehat j$$

$$\overrightarrow {{r_f}} - \overrightarrow {{r_i}} = 18\widehat i + 16\widehat j$$

$$\overrightarrow {{r_f}} = 20\widehat i + 20\widehat j$$

$$\left| {\overrightarrow {{r_f}} } \right| = 20\sqrt 2 $$

$$ = 10\widehat i + 8\widehat j + 8\widehat i + 8\widehat j$$

$$\overrightarrow {{r_f}} - \overrightarrow {{r_i}} = 18\widehat i + 16\widehat j$$

$$\overrightarrow {{r_f}} = 20\widehat i + 20\widehat j$$

$$\left| {\overrightarrow {{r_f}} } \right| = 20\sqrt 2 $$

4

MCQ (Single Correct Answer)

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ?

A

3 m

B

9 m

C

10 m

D

6 m

S = Area under graph

$${1 \over 2}$$ $$ \times $$ 2$$ \times $$2 + 2 $$ \times $$ 2 + 3 $$ \times $$ 1 = 9 m

$${1 \over 2}$$ $$ \times $$ 2$$ \times $$2 + 2 $$ \times $$ 2 + 3 $$ \times $$ 1 = 9 m

On those following papers in MCQ (Single Correct Answer)

Number in Brackets after Paper Indicates No. of Questions

JEE Main 2022 (Online) 29th July Evening Shift (2)

JEE Main 2022 (Online) 29th July Morning Shift (2)

JEE Main 2022 (Online) 28th July Evening Shift (1)

JEE Main 2022 (Online) 28th July Morning Shift (1)

JEE Main 2022 (Online) 27th July Evening Shift (1)

JEE Main 2022 (Online) 27th July Morning Shift (1)

JEE Main 2022 (Online) 26th July Evening Shift (1)

JEE Main 2022 (Online) 26th July Morning Shift (1)

JEE Main 2022 (Online) 25th July Evening Shift (1)

JEE Main 2022 (Online) 30th June Morning Shift (2)

JEE Main 2022 (Online) 29th June Evening Shift (2)

JEE Main 2022 (Online) 29th June Morning Shift (1)

JEE Main 2022 (Online) 28th June Evening Shift (1)

JEE Main 2022 (Online) 27th June Morning Shift (2)

JEE Main 2022 (Online) 25th June Evening Shift (2)

JEE Main 2022 (Online) 24th June Morning Shift (1)

JEE Main 2021 (Online) 1st September Evening Shift (1)

JEE Main 2021 (Online) 31st August Morning Shift (1)

JEE Main 2021 (Online) 27th August Evening Shift (2)

JEE Main 2021 (Online) 26th August Evening Shift (1)

JEE Main 2021 (Online) 27th July Morning Shift (1)

JEE Main 2021 (Online) 25th July Evening Shift (3)

JEE Main 2021 (Online) 25th July Morning Shift (1)

JEE Main 2021 (Online) 20th July Evening Shift (1)

JEE Main 2021 (Online) 20th July Morning Shift (1)

JEE Main 2021 (Online) 18th March Evening Shift (1)

JEE Main 2021 (Online) 18th March Morning Shift (1)

JEE Main 2021 (Online) 17th March Evening Shift (2)

JEE Main 2021 (Online) 17th March Morning Shift (1)

JEE Main 2021 (Online) 16th March Evening Shift (1)

JEE Main 2021 (Online) 16th March Morning Shift (1)

JEE Main 2021 (Online) 26th February Evening Shift (2)

JEE Main 2021 (Online) 25th February Evening Shift (1)

JEE Main 2021 (Online) 25th February Morning Shift (1)

JEE Main 2021 (Online) 24th February Morning Shift (1)

JEE Main 2020 (Online) 6th September Evening Slot (1)

JEE Main 2020 (Online) 5th September Evening Slot (1)

JEE Main 2020 (Online) 5th September Morning Slot (2)

JEE Main 2020 (Online) 4th September Morning Slot (2)

JEE Main 2020 (Online) 2nd September Morning Slot (1)

JEE Main 2020 (Online) 9th January Evening Slot (1)

JEE Main 2020 (Online) 8th January Evening Slot (1)

JEE Main 2019 (Online) 12th April Evening Slot (2)

JEE Main 2019 (Online) 12th April Morning Slot (2)

JEE Main 2019 (Online) 10th April Evening Slot (1)

JEE Main 2019 (Online) 10th April Morning Slot (1)

JEE Main 2019 (Online) 9th April Evening Slot (2)

JEE Main 2019 (Online) 9th April Morning Slot (1)

JEE Main 2019 (Online) 8th April Evening Slot (1)

JEE Main 2019 (Online) 8th April Morning Slot (1)

JEE Main 2019 (Online) 12th January Morning Slot (2)

JEE Main 2019 (Online) 11th January Evening Slot (1)

JEE Main 2019 (Online) 10th January Evening Slot (1)

JEE Main 2019 (Online) 10th January Morning Slot (1)

JEE Main 2019 (Online) 9th January Evening Slot (2)

JEE Main 2019 (Online) 9th January Morning Slot (1)

JEE Main 2018 (Offline) (1)

JEE Main 2018 (Online) 15th April Evening Slot (1)

JEE Main 2018 (Online) 15th April Morning Slot (2)

JEE Main 2017 (Online) 9th April Morning Slot (1)

JEE Main 2017 (Online) 8th April Morning Slot (1)

JEE Main 2017 (Offline) (1)

JEE Main 2015 (Offline) (1)

JEE Main 2014 (Offline) (1)

JEE Main 2013 (Offline) (1)

AIEEE 2012 (1)

AIEEE 2011 (2)

AIEEE 2010 (2)

AIEEE 2009 (2)

AIEEE 2008 (1)

AIEEE 2007 (1)

AIEEE 2006 (1)

AIEEE 2005 (3)

AIEEE 2004 (4)

AIEEE 2003 (3)

AIEEE 2002 (2)

Units & Measurements

Motion

Laws of Motion

Work Power & Energy

Simple Harmonic Motion

Center of Mass and Collision

Rotational Motion

Gravitation

Properties of Matter

Heat and Thermodynamics

Waves

Vector Algebra

Circular Motion

Ray & Wave Optics

Electrostatics

Current Electricity

Capacitor

Magnetics

Alternating Current and Electromagnetic Induction

Atoms and Nuclei

Dual Nature of Radiation

Electronic Devices

Communication Systems