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NATA Mock Test - 6 - JEE MCQ


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30 Questions MCQ Test - NATA Mock Test - 6

NATA Mock Test - 6 for JEE 2024 is part of JEE preparation. The NATA Mock Test - 6 questions and answers have been prepared according to the JEE exam syllabus.The NATA Mock Test - 6 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NATA Mock Test - 6 below.
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NATA Mock Test - 6 - Question 1
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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 << A0  (area of tank)]

Detailed Solution for NATA Mock Test - 6 - Question 1

Time required to empty the tank

NATA Mock Test - 6 - Question 2
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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
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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
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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
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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
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If the nitrogen atom had electronic configuration 1s7, it would have energy lower than that of the normal ground state configuration 1s2 2s2 2p3, 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

1s7 violate Pauli exclusion principle, according to which an orbital cannot have more than two electrons.

NATA Mock Test - 6 - Question 7
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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
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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
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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
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20% of N2O4 molecules are dissociated in a sample of gas at 27∘C 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
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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
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The equation of a circle C1 is x2 + y2 − 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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Which Indian city ranks in World Heritage list 2017?
Detailed Solution for NATA Mock Test - 6 - Question 30
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

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