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NATA Mock Test - 6 - JEE MCQ


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50 Questions MCQ Test NATA Sample Papers & Mock Tests 2025 - NATA Mock Test - 6

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NATA Mock Test - 6 - Question 1

Water is filled up to a height 'h' in a cylindrical vessel. Now, a hole of area 'A' is made at bottom of the vessel. Water drains out of the hole in time 't' seconds. If we repeat the above process with a height of water as '4h', then how much time it require for water to drain out of the cylinder?
[Assume A << A (area of tank)]

Detailed Solution for NATA Mock Test - 6 - Question 1

Time required to empty the tank

NATA Mock Test - 6 - Question 2

Which of the following graphs correctly represent the variation of β = −[(dV/dp)/V] with p for an ideal gas at constant temperature?

Detailed Solution for NATA Mock Test - 6 - Question 2

PV = constant, according to Boyle’s law
∴ PV = constant
∴ PdV + VdP = 0

The equation between β and P is of the form xy = constant which represents a rectangular hyperbola.
∴ Graph between β and P will be a rectangular hyperbola represented by graph (a)

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NATA Mock Test - 6 - Question 3

What is the potential difference between A and B?

(where A is the centre of left ring and B is the centre of right ring)

Detailed Solution for NATA Mock Test - 6 - Question 3

NATA Mock Test - 6 - Question 4

Half-life of a radioactive substance A is 4 days. The probability of a nucleus that,  from the given sample that it will decay in two half-lives is

Detailed Solution for NATA Mock Test - 6 - Question 4

After two half-lives 1/4 th fraction of nuclei will remain undecayed. Or, 3/4 th fraction will decay. Hence, the probability that a nucleus decays in two half lives is 3/4.

NATA Mock Test - 6 - Question 5

Which of the following statement is false for electromagnetic waves ?

Detailed Solution for NATA Mock Test - 6 - Question 5

Electromagnetic waves can propagate in material as well as vacuum.

NATA Mock Test - 6 - Question 6

If the nitrogen atom had electronic configuration 1s7, it would have energy lower than that of the normal ground state configuration 1s2 2s2p3, because the electrons would be closer to the nucleus, yet 1s7 is not observed because it violates

Detailed Solution for NATA Mock Test - 6 - Question 6

1sviolate Pauli exclusion principle, according to which an orbital cannot have more than two electrons.

NATA Mock Test - 6 - Question 7

Amongst the following, the most basic compound is

Detailed Solution for NATA Mock Test - 6 - Question 7


Lone pair is not involved in resonance, most basic. In all other cases, lone-pair of nitrogen is involved in resonance, less basic.

NATA Mock Test - 6 - Question 8

How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a Ca2+

Detailed Solution for NATA Mock Test - 6 - Question 8

EDTA, Which has four lone pair donor oxygen atoms and two lone pair donor nitrogen atoms in each molecule forms complex with Ca2+ ion. EDTA is hexa due to need 1 EDTA to form octahedral completes with ca+2

NATA Mock Test - 6 - Question 9

The first orbital of H is represented by  where a0 is Bohr's radius The probability of finding the electron at a distance r, from the nucleus in the region dV is

Detailed Solution for NATA Mock Test - 6 - Question 9

P(r) = ψ24πr2dr
4πr2dr  = dv = vol of thin spherical shell around nucleus at distance (r)

NATA Mock Test - 6 - Question 10

20% of N2O4 molecules are dissociated in a sample of gas at 27C and 760 torr. Mixture has the density at equilibrium equal to:

Detailed Solution for NATA Mock Test - 6 - Question 10


Total Moles 1 + α at equilibrium observed Molar Mass at equilibrium

NATA Mock Test - 6 - Question 11

Detailed Solution for NATA Mock Test - 6 - Question 11


[Cancelling x as x ≠ 0]

Alternate Solution
Use L’Hospital Rule,

NATA Mock Test - 6 - Question 12

The equation of a circle C1 is x+ y− 4x − 2y − 11 = 0. A circle C2 of radius 1 unit rolls on the outside of the circle C1 touching it externally. The locus of the centre of C2 has the equation

Detailed Solution for NATA Mock Test - 6 - Question 12

The centre of C1 = (2,1) and the radius 

NATA Mock Test - 6 - Question 13

Two vertices of a triangle are (3, -2) and (-2, 3) and its orthocentre is (- 6, 1). The coordinates of its third vertex are-

Detailed Solution for NATA Mock Test - 6 - Question 13






Solving Eqs. (i) and (ii), we get
α = - 1 , β = 6
∴ Third vertex is (-1, 6).

NATA Mock Test - 6 - Question 14

The equation of the common tangent to the equal parabolas y2 = 4ax and x2 = 4ay is

Detailed Solution for NATA Mock Test - 6 - Question 14

Any tangent to y2 = 4ax is  It touches x2 = 4ay if 
has equal roots.
So m3 + 1 = 0, i e , m = -1 Hence, the common tangent is y = - x - a

NATA Mock Test - 6 - Question 15

A line makes angles of 45° and 60° with the positive directions of x and y axes respectively. An angle, which the line can make with the positive direction of z-axis is:

Detailed Solution for NATA Mock Test - 6 - Question 15

Let α , β , γ be the angles, which the line makes with the positive directions of x-axis, y-axis and z-axis respectively


Hence the line makes an angle of 60° with the positive direction of z-axis

NATA Mock Test - 6 - Question 16

Which letter replaces the question mark?

Detailed Solution for NATA Mock Test - 6 - Question 16
Considering each column of circles, take the sum of the numbers. The sum number decides the position of the letter starting from A at being 1st position and Z at being 26th position. So, 1st column: 3+2+1+4=10 gives 10th position alphabet J . 2nd column: 5+9+4+6=24 gives 24th position alphabet X.

3rd column: 2+1+3+3=9 gives 9th position alphabet I . 4th column: 8+4+9+5=26 gives 26th position alphabet Z . 5th column: 7+3+1+2=13 gives 13th position alphabet M.

NATA Mock Test - 6 - Question 17

The Indian state which is called as "Bamboo Queen" is __

Detailed Solution for NATA Mock Test - 6 - Question 17
Mizoram is called "Bamboo Queen" because the maximum percentage of its geographical area is under bamboo forests as compared to other states of the country. It is the largest bamboo producing state in India.
NATA Mock Test - 6 - Question 18

Identify the given Material image

(A) Cement blocks

(B) Granite blocks

(C) Concrete blocks

(D) Sandstone blocks


Detailed Solution for NATA Mock Test - 6 - Question 18
Cement blocks A concrete masonry unit (CMU) is a standard size rectangular block used in building construction. CMUs are some of the most versatile building products available because of the wide variety of appearances that can be achieved using concrete masonry units
NATA Mock Test - 6 - Question 19

When was the Earth Day celebrated?

Option

(A) 22nd April

(B) 12th January

(C) 25th Marc

(D) 23rd February


Detailed Solution for NATA Mock Test - 6 - Question 19
Earth day is celebrated worldwide on 22nd April to support environmental protection.
NATA Mock Test - 6 - Question 20

Answer the correct TOP view for the given 3 D object:

(A)

(B)

(C)

(D)

(A) D

(B) C

(C) B

(D) A


Detailed Solution for NATA Mock Test - 6 - Question 20
Viewing from the top, three surfaces will be visible, namely 1,2 and 3

All given figures have three visible surfaces, namely 1,2 and 3:

(A)

(B)

(C)

(D)

In figure (B), surface 1 is not matching with given (3 D) figure.

In figure (C) surface 3 is not matching with given (3 D) figure.

In figure (D), surface 1 and 3 are not matching with given (3 D) figure Figure (A) is identical with the given (3 D) figure.

NATA Mock Test - 6 - Question 21

Which number replaces the question mark?

Detailed Solution for NATA Mock Test - 6 - Question 21
The sequence follows this pattern: 5×2−4=6

6×2−3=9

9×2−2=16

16×2−1=31

NATA Mock Test - 6 - Question 22

Let Z denote the set of all integers. If a relation R is defined on Z as follows: (x, y)∈R if an only if x is multiple of y, then R is

NATA Mock Test - 6 - Question 23

Which of the following composition best fits hierarchy?

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 23
Hierarchy means objects, names, ranks, values, categories, etc., at different levels constituting a system. Here, the circles in figure D composition are of different sizes and placed systematically.
NATA Mock Test - 6 - Question 24

Which composition best fits variety?

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 24
The figure C compositon best fits variety because it includes shapes: squares, circles and a triangle, while all other compositions just include two of these shapes.
NATA Mock Test - 6 - Question 25

Find the odd figure in the problem.

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 25
Figure D is the odd figure as all other figures have their inner shapes aligned with the outer shapes, but in figure D the inner semicircles are misaligned with respect to the outer semicircles.
NATA Mock Test - 6 - Question 26

Which of these is not a structural part of a building?

Detailed Solution for NATA Mock Test - 6 - Question 26
During the construction of a building, foundation, roof framing structure, and column and beam constitute the structural parts of a building, and spaces are left in the design to incorporate doors and windows later.
NATA Mock Test - 6 - Question 27

Which of the following diagrams indicates the best relation between Paris, France, Italy and World?

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 27
Paris is the capital of France. France and Italy are the two countries of the world. Hence, the best relation would be described by Figure C.
NATA Mock Test - 6 - Question 28

Find the odd figure in the problem

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 28
The lines of symmetry for pentagon (Figure A), equilateral triangle (Figure C) and right-angled triangle (Figure D) pass through the vertex and the mid-point of the side opposite to that vertex. This line divides the polygon into two polygons having equal areas. But trapezium (Figure B) does not have a symmetrical line passing through vertex (although it is having a symmetrical line passing through the mid-points of parallel sides).
NATA Mock Test - 6 - Question 29

Which of the following best illustrates a colonnade?

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 29
Figure B best illustrates a colonnade as a row of evenly spaced columns supporting a roof, and entablature, or arches.
NATA Mock Test - 6 - Question 30

Where is the given building located?

Detailed Solution for NATA Mock Test - 6 - Question 30
Karnataka is a state in the south western region of India.The state covers an area of 191,976 square kilometres (74,122 sq mi), or 5.83 percent of the total geographical area of India.
NATA Mock Test - 6 - Question 31

Paris Summit discusses which of the following issues?

Detailed Solution for NATA Mock Test - 6 - Question 31
The Paris Agreement builds upon the Convention and for the first time brings all nations into a common cause to undertake ambitious efforts to combat climate change and adapt to its effects, with enhanced support to assist developing countries to do so. As such, it charts a new course in the global climate effort.

The Paris Agreement central aim is to strengthen the global response to the threat of climate change by keeping a global temperature rise this century well below 2 degrees Celsius above pre-industrial levels and to pursue efforts to limit the temperature increase even further to 1.5 degrees Celsius. Additionally, the agreement aims to strengthen the ability of countries to deal with the impacts of climate change. To reach these ambitious goals, appropriate financial flows, a new technology framework and an enhanced capacity building framework will be put in place, thus supporting action by developing countries and the most vulnerable countries, in line with their own national objectives. The Agreement also provides for enhanced transparency of action and support through a more robust transparency framework. Further information on key aspects of the Agreement can be found here.

NATA Mock Test - 6 - Question 32

Find the odd figure in the problem

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 32
The Paris Agreement builds upon the Convention and for the first time brings all nations into a common cause to undertake ambitious efforts to combat climate change and adapt to its effects, with enhanced support to assist developing countries to do so. As such, it charts a new course in the global climate effort.

The Paris Agreement central aim is to strengthen the global response to the threat of climate change by keeping a global temperature rise this century well below 2 degrees Celsius above pre-industrial levels and to pursue efforts to limit the temperature increase even further to 1.5 degrees Celsius. Additionally, the agreement aims to strengthen the ability of countries to deal with the impacts of climate change. To reach these ambitious goals, appropriate financial flows, a new technology framework and an enhanced capacity building framework will be put in place, thus supporting action by developing countries and the most vulnerable countries, in line with their own national objectives. The Agreement also provides for enhanced transparency of action and support through a more robust transparency framework.

NATA Mock Test - 6 - Question 33

Which picture cube does the unfolded shape make?

(A)

(B)

(C)

(D)

Detailed Solution for NATA Mock Test - 6 - Question 33

For cube (A) : Fruit (a) and fruit (f) should be on opposite faces, but they are adjacent. So, it is wrong.

For cube \(\mathrm{B}\). Fruit (a) is rotated by (90o) when cube (B) is formed, which cannot happen. So, it is wrong.

For cube (C) : Fruit (d, e) and (f) are adjacent as they should be and their orientation is also correct. So, it is right For cube (D) : Fruit (a) is rotated by (90o) when cube (D) is formed, which cannot happen. So, it is wrong

NATA Mock Test - 6 - Question 34

The internal angle formed by the edges of a cube in isometric projection is

Detailed Solution for NATA Mock Test - 6 - Question 34
In isometric projection, three dimensional objects are represented in two dimensions. The three coordinate axes are drawn with the angle between any two of them as 120o.
NATA Mock Test - 6 - Question 35

A truncated (horizontally cut in mid-way) hexagonal pyramid has following number of surfaces, edges and vertices respectively.

Detailed Solution for NATA Mock Test - 6 - Question 35
A hexagonal pyramid has 7 number of surfaces, 12 edges and 7 vertices. When it is cut horizontally in midway, then, Number of surfaces =8 Number of edges =18 Number of vertices =123
NATA Mock Test - 6 - Question 36

A circle is inscribed within an equilateral triangle of area √3 sqm.The circumference of the circle is

Detailed Solution for NATA Mock Test - 6 - Question 36
Area of equilateral triangle Let the sides of the equilateral triangle be (a).

NATA Mock Test - 6 - Question 37

The linear scale of a map is 1 cm=2 m. The drawing dimensions of an on-site rectangular plot measuring 25 m×40 m will be

Detailed Solution for NATA Mock Test - 6 - Question 37
1 cm=2 m 25 m×40 m=12.5 cm×20 cm
NATA Mock Test - 6 - Question 38

When a clock is seen through a mirror, the hour arm and minute arm are seen at 99 and 44 respectively, so that the time seen is 9:20. What will be the actual time after 15min ?

Detailed Solution for NATA Mock Test - 6 - Question 38
Given time =9:20 9:20 is corresponding to 2:40 After 15 min: 2:40+0:15=2:55
NATA Mock Test - 6 - Question 39

Length of a solid diagonal of a cube is 6 cm. The volume of the cube is

Detailed Solution for NATA Mock Test - 6 - Question 39

NATA Mock Test - 6 - Question 40

How many surfaces are there in the model? Consider all seen and unseen surfaces.

Detailed Solution for NATA Mock Test - 6 - Question 40
Surfaces 1,2,3,4,5,6,7,8,9,10,11 and 12 are visible from the front Surtace 13 is the hidden surface opposite to Surface \(7 .\) Surtace 14 is the hidden surface of groove opposite to Surface \(6 .\) Surface 15 is the hidden bottom surface of the main block Surtaces 16 and 17 are the hidden side surfaces of the main block

NATA Mock Test - 6 - Question 41

What secondary colour is obtained by mixing blue and red colours?

Detailed Solution for NATA Mock Test - 6 - Question 41
Commonly people think about pigment and in that case the color you get when mixing blue and red would be purple or violet. However, if you are referring to additive color (light), then the result of mixing red and blue light would be magenta.
NATA Mock Test - 6 - Question 42

What is Texture?

(A) Solid colour

(B) Type of shape

(C) Lines drawn in colour

(D) The way a surface looks and feels


Detailed Solution for NATA Mock Test - 6 - Question 42
Texture refers to the way an object feels to the touch or looks as it may feel if it were touched. Texture is one of the seven elements of art. Understanding it fully will lead to stronger drawings and paintings. . Texture -element of art that refers to the way an object feels to the touch or looks as it may feel.
NATA Mock Test - 6 - Question 43

World Environment Day is observed on __

Detailed Solution for NATA Mock Test - 6 - Question 43
World environment day is observed every year on 5 June, and it is the United Nation's principal vehicle for encouraging worldwide awareness and action for the protection of our environment.
NATA Mock Test - 6 - Question 44

Gypsum is a __

Detailed Solution for NATA Mock Test - 6 - Question 44
Gypsum is a chemically precipitated sedimentary rock formed by the evaporation of seawater and the precipitation of halite.
NATA Mock Test - 6 - Question 45

Which of the following is a scalar quantity?

Detailed Solution for NATA Mock Test - 6 - Question 45
Momentum, torque and impulse all have magnitude as well as direction, whereas energy only has magnitude. So, it is a scalar quantity.
NATA Mock Test - 6 - Question 46

A heavy ladder resting in the floor and against a vertical wall may not be in equilibrium if

Detailed Solution for NATA Mock Test - 6 - Question 46
If both the floor and wall are smooth, then any heavy ladder resting on the floor and against a vertical wall may not be in equilibrium.
NATA Mock Test - 6 - Question 47

The type of roof suitable in plains where rainfall is meagre and temperature is high is

Detailed Solution for NATA Mock Test - 6 - Question 47
The flat roof is such a roof, whose top finished surface has a slight slope to drain off rainwater. The construction of flat roof is similar to that of upper floors except that the top surface is made slightly sloping and also they are given such a treatment that they do not leak even in heavy rains. Flat roots may be constructed in RCC, flagstone, bricks, tiles, etc. Therefore, flat type of roofs is suitable in plains, where rainfall is meagre and temperature is high.
NATA Mock Test - 6 - Question 48

The angle which an inclined plane makes with the horizontal when a body placed on it is about to slide down is known as angle of

Detailed Solution for NATA Mock Test - 6 - Question 48
the steepest angle at which a sloping surface formed of loose material is stable
NATA Mock Test - 6 - Question 49

Which Indian city ranks in World Heritage list 2017?

Detailed Solution for NATA Mock Test - 6 - Question 49
Werid Heritage Day is celebrated globally on April 18 . The International Council on Monuments and sites (ICOMOS) based in France had announced April 18 as the World Heritage Day in 1982 . It was subsequently approved by the General Assembly of UNESCO in 1983

The day aims to encourage local communities and individuals to consider the importance of cultural heritage to their lives, identities and communities, and to promote awareness of its diversity and vulnerability and the efforts required to protect and conserve it.

Theme for 2017 : Cultural Heritage and Sustainable Tourism This year, the theme is 'Cultural Heritage and Sustainable Tourism'.

The United Nations Educational, Scientific and Cultural Organisation (UNESCO) has recognised 35 World Heritage Sites in India. UNESCO had inscribed Nalanda Mahavihara or old Nalanda University of Bihar as World Heritage Site on July 15, 2016.

In a first, after including Nalanda University, UNESCO also listed Chandigarh's Capitol Complex and Sikkim's Khangchendzonga National Park that includes world's third highest peak Mount Khangchendzonga among its World Heritage Sites. This was the first time that any country was able to get three sites included in the UNESCO's World Heritage list at a single session of the committee meeting.

From the magnificent Taj Mahal to the architectural ruins of Hampi, India is home to 35 World Heritage Sites, which are recognised by UNESCO. Established in 1972 , the UNESCO World Heritage Convention describes the places that hold importance of cultural or natural heritage

NATA Mock Test - 6 - Question 50

A horizontal supporting crosspiece over an opening is called

Detailed Solution for NATA Mock Test - 6 - Question 50

Lintel is a horizontal support of timber, stone, concrete, or steel across the top of a door or window.

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