NATA Mock Test - 4 - JEE MCQ

# NATA Mock Test - 4 - JEE MCQ

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## 50 Questions MCQ Test NATA Sample Papers & Mock Tests 2025 - NATA Mock Test - 4

NATA Mock Test - 4 for JEE 2024 is part of NATA Sample Papers & Mock Tests 2025 preparation. The NATA Mock Test - 4 questions and answers have been prepared according to the JEE exam syllabus.The NATA Mock Test - 4 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NATA Mock Test - 4 below.
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NATA Mock Test - 4 - Question 1

### A planet of core density 3ρ and outer curst of density ρ has small tunnel in core. A small Particle of mass m is released from end A then time required to reach end B :

Detailed Solution for NATA Mock Test - 4 - Question 1

At some distance from centre inside core

Now time for A to B =

NATA Mock Test - 4 - Question 2

### A small circular wire loop of radius a is located at the centre of a much larger circular wire loop of radius b as shown above (b> >a). Both loops are coaxial and coplanar. The larger loop carries a time (t) varying current I = I0 cos ωt where I0 and ω are constants. The large loop induces in the small loop an emf that is approximately equal to which of the following.

Detailed Solution for NATA Mock Test - 4 - Question 2

Magnetic flux passing through inner loop due to current in outer loop-

So, emf developed,

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NATA Mock Test - 4 - Question 3

### A spring mass system is placed on a frictionless horizontal surface as shown in the figure. The spring is expanded by 1/10m and the blocks are given velocities as shown, then maximum extension of spring is :

Detailed Solution for NATA Mock Test - 4 - Question 3

As there is no loss of energy
Initial mechanical energy = Final mechanical energy
For initial Mechanical energy

Where  and vrelative =5 m/s

= 25 + 25 = 50
For final Mechanical energy
When there is maximum extension relative velocity between block = 0

NATA Mock Test - 4 - Question 4

An electromagnetic wave of frequency f = 7.3MHz passes from a vacuum into a dielectric medium with permittivityε = 9. Then,

Detailed Solution for NATA Mock Test - 4 - Question 4

As permittivity is greater than the permittivity of free space so the refractive index of medium is

Wavelength of the electromagnetic wave in medium will be
Velocity of wave will be.

NATA Mock Test - 4 - Question 5

A particle is projected from point A towards a building of height h as shown at an angle of 60 ° with horizontal. It strikes the roof of building at B at an angle of 30 ° with the horizontal. The speed of projection is

Detailed Solution for NATA Mock Test - 4 - Question 5

Let u be the speed of projection and v be the speed at B

Applying law of conservation of energy,

Using equation (i) in equation (ii),
we have

NATA Mock Test - 4 - Question 6

Consider the following equilibrium
N2O4 (g) ⇔ 2NO2(g)
Then select the correct graph: (graph represent relation between concertation of NO2 and N2O4 at equilibrium)

Detailed Solution for NATA Mock Test - 4 - Question 6

Keq =
[NO2]2 = keq [N2O4]
It resembles graph of y2 = 4 ax
So option (b) is correct

NATA Mock Test - 4 - Question 7

If two different non-axial d-orbitals having XZ nodal plane form π bond by overlapping each other, then internuclear axis will be;

Detailed Solution for NATA Mock Test - 4 - Question 7

Two different non-axial d-orbitals will lie in planes perpendicular to each other, such d-orbital will not formed
Hence, (d) option is correct.

NATA Mock Test - 4 - Question 8

The given osazone can be formed by

Detailed Solution for NATA Mock Test - 4 - Question 8

Formation of osazone involves only C1 and C2 carbon atoms. The rest of the carbon atoms remains uneffected.
Glucose and fructose differ only in the configurations of first and second carbon atoms remaining positions are similar. So they form same osazone.

NATA Mock Test - 4 - Question 9

The cyclotrimetaphosphoric acid is

Detailed Solution for NATA Mock Test - 4 - Question 9

Hence, option (C ) is correct.

NATA Mock Test - 4 - Question 10

In a face centered cubic lattice of edge length 'a' number of next to next nearest neighbor to corner atom and distance of corner atom to next to next nearest atom is respectively-

Detailed Solution for NATA Mock Test - 4 - Question 10

Nearest neighbor
Next nearest neighbor = a
Next to next nearest neighbor

No of such neighbors = 24
Hence, correct answer is (c)

NATA Mock Test - 4 - Question 11

There are two balls in an urn whose colours are not known (each ball can be either white or black). A white ball is put into the urn. A ball is drawn from the urn. The probability that it is white is

Detailed Solution for NATA Mock Test - 4 - Question 11

Let E(0 < i < 2) denote the event that urn contains 'i' white and '(2 – i)' black balls.
Let A denote the event that a white ball is drawn from the urn.
We have P(Ei) = 1/3 for i = 0, 1, 2
P (A|E1) = 1/3, P(A|E2) = 2/3, P(A|E3) = 1.
By the total probability rule,
P(A)= P(E1)P(A|E1) + P(E2)P(A|E2) + P(E3)P(A|E3)

NATA Mock Test - 4 - Question 12

The plane passing through the point (−2, −2, 2) and containing the line joining the points
(1, 1, 1) and (1, −1, 2) makes intercepts on the coordinates axes the sum of whose lengths is

Detailed Solution for NATA Mock Test - 4 - Question 12

Equation of any plane passing through (−2, −2, 2) is
a(x + 2) + b(y + 2) + c(z – 2) = 0
Since it contains the line joining the points (1, 1, 1) and (1, −1, 2), it contains these points as well
so that
3a + 3b – c = 0
and 3a + b + 0 = 0
Solving we get

and thus the equation of the plane is
(x + 2) - 3(y + 2) = 0
x+3y-4=0

Intercepts on axes = 4, 4/3
The required sum= 4+(4/3)=16/3

NATA Mock Test - 4 - Question 13

If a, b, c are in GP and  are in AP, then a, b, c are the lengths of the sides of a triangle which is

Detailed Solution for NATA Mock Test - 4 - Question 13

a, b, c are in GP b2 = ac
are in AP.
2(log 2b – log 3c) = log a – log 2b + log 3c – log a
log 2b = log 3c 2b = 3c
∴ b2 = ac & 2b = 3c
b = 2a/3 and c = 4a/9
Since (a+b) = 5a/3 > c, (b+c) = 10a/9 > a and
(c + a) = 13a/9 > b, therefore, a, b, c are the sides
of a triangle. Also, as ‘a’ is the greatest side, let us
find angle A of ΔABC

Hence ΔABC is an obtuse angled triangle.

NATA Mock Test - 4 - Question 14

Sum of the series
1 + 3 + 6 + 10 + 15 + ……………………….n terms is

Detailed Solution for NATA Mock Test - 4 - Question 14

NATA Mock Test - 4 - Question 15

The solution of the equation (2x + y + 1) dx + (4x + 2y – 1) dy = 0 is

Detailed Solution for NATA Mock Test - 4 - Question 15

Put 2x + y = X ⇒Therefore, the given equation is reduced to

= x + constant
2(2x + y) + log (2x + y – 1) = 3x + constant
x + 2y + log (2x + y – 1) = C

NATA Mock Test - 4 - Question 16

Which one of the answer figures shows the correct view of the 3-D problem figure after the problem figure is opened up ?

Detailed Solution for NATA Mock Test - 4 - Question 16

Correct Answer is option (B)

NATA Mock Test - 4 - Question 17

Which one of the answer figures shows the correct view of the 3-D problem figure after the problem figure is opened up ?

Detailed Solution for NATA Mock Test - 4 - Question 17

Correct Answer is (A)

NATA Mock Test - 4 - Question 18

Which one of the answer figures shows the correct view of the 3-D problem figure after the problem figure is opened up ?

Detailed Solution for NATA Mock Test - 4 - Question 18

NATA Mock Test - 4 - Question 19

Which one of the answer figures shows the correct view of the 3-D problem figure after the problem figure is opened up ?

Detailed Solution for NATA Mock Test - 4 - Question 19

NATA Mock Test - 4 - Question 20

Which one of the answer figures shows the correct view of the 3-D problem figure after the problem figure is opened up ?

Detailed Solution for NATA Mock Test - 4 - Question 20

NATA Mock Test - 4 - Question 21

What is the increased percentage rate of social media fraud in 2018?

Detailed Solution for NATA Mock Test - 4 - Question 21

A study has found that social media fraud increased by 43% in 2018. The cybercriminals are increasingly relying on Facebook, Instagram, WhatsApp, and other legitimate social media and messaging platforms to sell stolen identities, credit card numbers and other ill- gotten gains. The name of the report is Current State of Cybercrime - 2019, released by RSA security.

NATA Mock Test - 4 - Question 22

Find the total number of surface of the object given below in the problem

Detailed Solution for NATA Mock Test - 4 - Question 22

In the given question 13 surfaces are clearly shown which are labelled 1 to 13.
In addition to this, there is 1 surface at the bototm and 1 surface is not visible
So, there are 13 + 1 + 1 = 15 surfaces
Hence, the correct option will be (D)

NATA Mock Test - 4 - Question 23

Find out the total number of surfaces of the object given below in the problem figure.

Detailed Solution for NATA Mock Test - 4 - Question 23

Surfaces visible from the top are: 1, 7, 5, 2
Surfaces visible from the front are:  8, 4
Surfaces visible from the left side are: 9
Surfaces visible from the right side are: 3, 6
Surfaces visible from the back are: 10
Surfaces visible from the bottom are: 11
Hence, there are total 11 surfaces.

NATA Mock Test - 4 - Question 24

Find out the total number of surfaces of the object given below in the problem figure.

Detailed Solution for NATA Mock Test - 4 - Question 24

Surfaces visible from the top are: 1, 2, 10, 4, 5
Surfaces visible from the front are: 3, 6, 8
Surfaces visible from the left side are: 12
Surfaces visible from the right side are:9, 7
Surfaces visible from the back are: 11
Surfaces visible from the bottom are: 13
Hence, there are total 13 surfaces.

NATA Mock Test - 4 - Question 25

One of the following answer figure is hidden in the problem figure in the same size and direction. Select the correct one.

Detailed Solution for NATA Mock Test - 4 - Question 25

NATA Mock Test - 4 - Question 26

One of the following answer figure is hidden in the problem figure in the same size and direction. Select the correct one.

Detailed Solution for NATA Mock Test - 4 - Question 26

NATA Mock Test - 4 - Question 27

One of the following answer figure is hidden in the problem figure in the same size and direction. Select the correct one.

Detailed Solution for NATA Mock Test - 4 - Question 27

NATA Mock Test - 4 - Question 28

The problem figure shows the top view of objects. Looking in the direction of the arrow, identify the correct elevation, from amongst the answer figures.

Detailed Solution for NATA Mock Test - 4 - Question 28

NATA Mock Test - 4 - Question 29

The problem figure shows the top view of objects. Looking in the direction of the arrow, identify the correct elevation, from amongst the answer figures.

Detailed Solution for NATA Mock Test - 4 - Question 29

NATA Mock Test - 4 - Question 30

The problem figure shows the top view of objects. Looking in the direction of the arrow, identify the correct elevation, from amongst the answer figures.

Detailed Solution for NATA Mock Test - 4 - Question 30

NATA Mock Test - 4 - Question 31

The 3-D problem figure shows the view of an objects. Identify the correct top view from amongst the answer figure.

Detailed Solution for NATA Mock Test - 4 - Question 31

NATA Mock Test - 4 - Question 32

The 3-D problem figure shows the view of an objects. Identify the correct top view from amongst the answer figure.

Detailed Solution for NATA Mock Test - 4 - Question 32

(B)  option

NATA Mock Test - 4 - Question 33

The 3-D problem figure shows the view of an objects. Identify the correct top view from amongst the answer figure.

Detailed Solution for NATA Mock Test - 4 - Question 33

Correct answer is C.

NATA Mock Test - 4 - Question 34

Which of the answer figures is the correct mirror image of the problem figure with respect to X-X ?

Detailed Solution for NATA Mock Test - 4 - Question 34

Correct answer is option (C)

NATA Mock Test - 4 - Question 35

Which of the answer figures is the correct mirror image of the problem figure with respect to X-X ?

Detailed Solution for NATA Mock Test - 4 - Question 35

NATA Mock Test - 4 - Question 36

The Battle of Plassey was fought in.....

Detailed Solution for NATA Mock Test - 4 - Question 36

The Battle of Plassey, 23 June 1757, was a decisive British East India Company victory over the Nawab of Bengal and his French allies, establishing Company rule in South Asia which expanded over much of the Indies for the next 190 years. The battle took place at Palashi,
Bengal, on the river banks of the Bhagirathi River, about 150 km north of Calcutta, near Murshidabad, then capital of undivided Bengal. The belligerents were Siraj- ud-daulah, the last independent Nawab of Bengal, and the British East India Company.

NATA Mock Test - 4 - Question 37

Famous akshardham Temple is located at

Detailed Solution for NATA Mock Test - 4 - Question 37

Akshardham or Swaminarayan Akshardham complex is a Hindu temple, and a spiritual-cultural campus in Delhi, India. Also referred to as Akshardham Temple or Swaminarayan Akshardham, the complex displays millennia of traditional Hindu and Indian culture, spirituality, and architecture.

NATA Mock Test - 4 - Question 38

Mohenjoaro and old Jaipur are planned on :

Detailed Solution for NATA Mock Test - 4 - Question 38

The grid plan, grid street plan, or gridiron plan is a type of city plan in which streets run at right angles to each other, forming a grid. The infrastructure cost for regular grid patterns is generally higher than for patterns with discontinuous streets.

NATA Mock Test - 4 - Question 39

Which one is the oldest structure from amongst the following :

Detailed Solution for NATA Mock Test - 4 - Question 39

The Egyptian pyramids are ancient pyramid-shaped masonry structures located in Egypt. As of November 2008, sources cite either 118 or 138 as the number of identified Egyptian pyramids. Most were built as tombs for the country's pharaohs and their consorts during the Old and Middle Kingdom periods.

NATA Mock Test - 4 - Question 40

Identify the given material

Detailed Solution for NATA Mock Test - 4 - Question 40

Fly ash brick is a building material, specifically masonry units, containing class C or class F fly ash and water. Compressed at 28 MPa and cured for 24 hours in a 66 °C steam bath, then toughened with an air entrainment agent, the bricks last for more than 100 freeze-thaw cycles

NATA Mock Test - 4 - Question 41

Ozone layer around the Earth prevents penetration of:

Detailed Solution for NATA Mock Test - 4 - Question 41

The ozone layer or ozone shield is a region of Earth's stratosphere that absorbs most of the Sun's ultraviolet radiation. It contains high concentration of ozone (O3) in relation to other parts of the atmosphere, although still small in relation to other gases in the stratosphere.

NATA Mock Test - 4 - Question 42

Red sand stone is not used in:

Detailed Solution for NATA Mock Test - 4 - Question 42

The Taj Mahal is an ivory-white marble mausoleum on the south bank of the Yamuna river in the Indian city of Agra. It was commissioned in 1632 by the Mughal emperor, Shah Jahan (reigned from 1628 to 1658), to house the tomb of his favourite wife, Mumtaz Mahal.

NATA Mock Test - 4 - Question 43

In the Northern Hemisphere, light entering from which side of opening in a room is more uniform throughout the day?

Detailed Solution for NATA Mock Test - 4 - Question 43

The Northern Hemisphere is the half of Earth that is north of the Equator. For other planets in the Solar System, north is defined as being in the same celestialhemisphere relative to the invariable plane of the solar system as Earth's North Pole.

NATA Mock Test - 4 - Question 44

Which place in India has French influence in Architecture?

Detailed Solution for NATA Mock Test - 4 - Question 44

Pondicherry (or Puducherry), a French colonial settlement in India until 1954, is now a Union Territory town bounded by the southeastern Tamil Nadu state. Its French legacy is preserved in its French Quarter, with tree-lined streets, mustard-colored colonial villas andchic boutiques. A seaside promenade runs along the Bay of Bengal and passes several statues, including a 4m-high Gandhi Memorial.

NATA Mock Test - 4 - Question 45

Which amongst the following is more earthquake resistant structure ?

Detailed Solution for NATA Mock Test - 4 - Question 45

Steel frame is a building technique with a "skeleton frame" of vertical steel columns and horizontal I-beams,constructed in a rectangular grid to support the floors, roof and walls of a building which are all attached to the frame. The development of this technique made the construction of the skyscraper possible.

NATA Mock Test - 4 - Question 46

What causes Tsunami in an ocean ?

Detailed Solution for NATA Mock Test - 4 - Question 46

A tsunami is a large ocean wave that is caused by sudden motion on the ocean floor. This sudden motion could be an earthquake, a powerful volcanic eruption, or an underwater landslide. Tsunamis travel across the open ocean at great speeds and build into large deadly waves in the shallow water of a shoreline.

NATA Mock Test - 4 - Question 47

Eiffel Tower is made of :

Detailed Solution for NATA Mock Test - 4 - Question 47

The Eiffel Toweris a wrought-iron lattice tower on the Champ de Mars in Paris, France. It is named after the engineer Gustave Eiffel, whose company designed and built the tower.

NATA Mock Test - 4 - Question 48

Maximum amount of fresh water in our planet is trapped in :

Detailed Solution for NATA Mock Test - 4 - Question 48

About 3% - 2.5 – 2.75% is fresh water, including 1.75 – 2% frozen in glaciers, ice and snow, 0.7–0.8% as fresh groundwater and soil moisture, and less than 0.01% of it as surface water in lakes, swamps and rivers.

NATA Mock Test - 4 - Question 49

Burj Khalifa is located in :

Detailed Solution for NATA Mock Test - 4 - Question 49

The Burj Khalifa, known as the Burj Dubai prior to its inauguration in 2010, is a skyscraper in Dubai, United Arab Emirates. With a total height of 829.8 m and a roof height of 828 m, the Burj Khalifa has been the tallest structure and building in the world since its topping out in 2009.

NATA Mock Test - 4 - Question 50

Which type of roof will provide maximum protection from heat radiation in a building ?

Detailed Solution for NATA Mock Test - 4 - Question 50

Concrete slab water proofed and covered with a roof garden roof will provide maximum protection from heat radiation in a building.

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