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NATA Mock Test - 5 - JEE MCQ


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50 Questions MCQ Test NATA Sample Papers & Mock Tests 2024 - NATA Mock Test - 5

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NATA Mock Test - 5 - Question 1

A metal wire PQ slides on parallel metallic rails having separation 0.25 m, each having negligible resistance. There is a 2Ω resistor and 10V battery as shown in figure. There is a uniform magnetic field directed into the plane of the paper of magnitude 0.5 T. A force of 0.5N to the left is required to keep the wire PQ moving with constant speed to the right. With what speed is the wire PQ moving? (Neglect self-inductance of the loop)

Detailed Solution for NATA Mock Test - 5 - Question 1



Solving V = 16 m/s.

NATA Mock Test - 5 - Question 2

In the given figure a ring of mass m is kept on a horizontal surface while a body of equal mass 'm' attached through a string, which is wounded on the ring. When the system is released the ring rolls without slipping. Consider the following statements and choose the correct option.

(i) acceleration of the centre of mass of ring is g/3
(ii) acceleration of the hanging particle is 2g/3
(iii) frictional force (on the ring) acts along forward direction
(iv) frictional force (on the ring) acts along backward direction

Detailed Solution for NATA Mock Test - 5 - Question 2

Free body diagram of ring and mass is 

Since the ring is in pure rolling so its above point acceleration will be 2a and similarly acceleration of mass will be 2a.
The equation of motion of the system is
mg – T = m(2a)      ......(1)
T = ma        .......(2)
Substitute the value of T in equation (1)
mg - ma = 2ma
3ma = mg
a = g/3
So the acceleration of the center of the ring is, g/3
And acceleration of the hanging mass is 2a = 2g/3

NATA Mock Test - 5 - Question 3

A concave mirror gives a real image magnified 6 times when the object is moved 6 cm the magnification of the real image is 4 times. What will be the focal length of the mirror?

Detailed Solution for NATA Mock Test - 5 - Question 3

As we know that the magnification

And in the second case,

NATA Mock Test - 5 - Question 4

A spring mass system with unequal masses is placed at rest on a smooth horizontal surface. The spring is initially kept compressed with a thread. When the spring is cut, the mass m moves so as to enter in a vertical circular loop of radius r. The minimum compression x in the spring so that the mass m may negotiate the vertical loop is

Detailed Solution for NATA Mock Test - 5 - Question 4

Let x be the compression in the spring, v and V be the velocities of m and M respectively, when the spring released.
According to the law of conservation of momentum and energy
MV = mv ... (1)

From (2) and (1)

To negotiate a loop, minimum velocity required

NATA Mock Test - 5 - Question 5

A plane electromagnetic wave of angular frequency ω propagates in a poorly conducting medium of conductivity σ and relative permittivity ε. Find the ratio of conduction current density and displacement current density in the medium.

Detailed Solution for NATA Mock Test - 5 - Question 5

Jc = σE0 sin (ωt – kx)

= ∈ ∈0 × A E0ω cos(ωt–kx)
Jd = ∈ ∈0E0ω

NATA Mock Test - 5 - Question 6

Ratio of Boyle temperature and critical temperature of gas is:

Detailed Solution for NATA Mock Test - 5 - Question 6

Boyle Temperature Tb= a/Rb
Critical Temperature Tc= 8a/27Rb
Dividing both
Tb/Tc =27/8
Hence option (b) is correct.

NATA Mock Test - 5 - Question 7

Which of the following is reducing sugar?

Detailed Solution for NATA Mock Test - 5 - Question 7

A reducing sugar is one which is capable of acting as reducing agent.
All monosaccharaides are reducing sugars because all monosaccharaides have an aldehyde group (if they are aldoses) or can tautomerize in solution to form an aldehyde group (if they are ketoses) and can themselves get oxidized hence can act as reducing agent.



Galactose
All of them are monosaccharides.
Hence option (d) is correct.

NATA Mock Test - 5 - Question 8

Which of the following complex square having planner complex can exhibit geometrical isomerism?

Detailed Solution for NATA Mock Test - 5 - Question 8


Trans-isomer

Cis –isomer
Square planar complexes having symmetric bidentate ligands carrying one or more substituents can form geometrical isomers. Because, such ligand show kind of asymmetry. Here pn (propylenediamine) shows this kind of nature hence leading to geometrical isomerism.
All the rest options are of symmetrical in nature around metal ion so no geometrical isomerism is possible in these.
Hence option (a) is correct.

NATA Mock Test - 5 - Question 9

An element has a bcc structure with a cell edge of 288 pm. The density of the element is 7.2 g cm–3. Number of atoms present in 208 g of the element ?

Detailed Solution for NATA Mock Test - 5 - Question 9

Volume of unit cell = (288 pm)3 = (288 × 10–12 m)3
= (288 × 10–10 cm)3
=2.39 × 10–23 cm3
For bcc, zeff = 2

∴ Aw = 7.2 × 3 × 1023 × 2.39 × 10–23 g
∴ 7.2 × 3 × 2.39 g of element contains = NA atoms = 6 × 1023 atoms.
∴ 208 g of the element contains 
= 24.17 × 1023 atoms
Alternatively
Volume of 208 g of the element 
=28.88 cm3
Number of unit cells in this volume

= 12.08 × 1023 unit cells
Since each bcc cubic unit contains 2 atoms, therefore the total number of atoms in 208 g
= 2 (atoms/unit cell) × 12.08 × 1023 unit cells
= 24.16 × 1023 atoms
Hence option (b) is correct.

NATA Mock Test - 5 - Question 10

The most acidic oxyacid of halogen among the given option is

Detailed Solution for NATA Mock Test - 5 - Question 10

The acidity of oxyacids of halogen can be compared by checking the oxidation state of halogen in the acid. Higher the oxidation state, higher the acidity. Here H5IO6 has an oxidation state of +7 and hence is the strongest acid.

NATA Mock Test - 5 - Question 11

The solution to 

Detailed Solution for NATA Mock Test - 5 - Question 11






NATA Mock Test - 5 - Question 12

The area bounded by the curves x + 2|y| = 1 and x = 0 is:

Detailed Solution for NATA Mock Test - 5 - Question 12


NATA Mock Test - 5 - Question 13

The length of the common chord of the circles x2 + y2 + 2x + 3y + 1 = 0 and x2 + y2 + 4x + 2 = 0 is

Detailed Solution for NATA Mock Test - 5 - Question 13

Consider the circles S1
The centre of S1 is (-1,-3/2) and the radius is 
and S2:  
The equation of the common chord is S2 - S=0
⇒ 2x + 1 = 0


NATA Mock Test - 5 - Question 14

In a triangle ABC, the angle B is greater than angle A. If the values of the angle A and B satisfy the equation 3 sin x - 4 sin3 x - k = 0, 0 < k < 1, then value of C is

Detailed Solution for NATA Mock Test - 5 - Question 14

NATA Mock Test - 5 - Question 15

The value of 

Detailed Solution for NATA Mock Test - 5 - Question 15


NATA Mock Test - 5 - Question 16

Identify the type of staircase

Explanations:

Spiral stairs have a wide range of benefits depending upon your space and style

NATA Mock Test - 5 - Question 17

Resins are

Explanations:

Many different kinds of resins may be used to create a varnish. Natural resins used for varnish include amber,kauri gum, dammar, copal, rosin (pine resin), sandarac, balsam, elemi, mastic, and shellac. Varnish may also be created from synthetic resins such as acrylic, alkyd, or

polyurethane.

NATA Mock Test - 5 - Question 18

Refractory bricks are used for

A. retaining walls

B. columns

C. piers

D. combustion chambers.

Explanations:

A fire brick, firebrick, or refractory brick is a block of refractory ceramic material used in lining furnaces, kilns, fireboxes, and fireplaces. A refractory brick is built primarily to withstand high temperature, but will also usually have a low thermal conductivity for greater energy efficiency.


NATA Mock Test - 5 - Question 19

Expanded metal is

Explanations:

Expanded metal is a type of sheet metal which has been cut and stretched to form a regular pattern (often diamond-shaped) of metal mesh-like material. It is commonly used for fences and grates, and as metallic lath to support plaster or stucco.

NATA Mock Test - 5 - Question 20

The rock generally used for roofing, is

Explanations:

Slate is a fine-grained, foliated metamorphic rock that is created by the alteration of shale or mudstone by low-grade regional metamorphism. It is popular for a wide variety of uses such as roofing, flooring, and flagging because of its durability and attractive appearance

NATA Mock Test - 5 - Question 21

Every one of the following questions consists of a related pair of words, followed by five pairs of words. Choose the pair that best represents a similar relationship to the one expressed in the original pair of words.

COTTON : BALE

Explanations:

Upon harvesting, cotton is gathered into bales; grain is gathered into shocks.

NATA Mock Test - 5 - Question 22

Every one of the following questions consists of a related pair of words, followed by five pairs of words. Choose the pair that best represents a similar relationship to the one expressed in the original pair of words.

ELEPHANT : PACHYDERM

Explanations:

kangaroo : marsupial

NATA Mock Test - 5 - Question 23

Every one of the following questions consists of a related pair of words, followed by five pairs of words. Choose the pair that best represents a similar relationship to the one expressed in the original pair of words.

PSYCHOLOGIST : NEUROSIS

Explanations:

A psychologist treats a neurosis; an ophthalmologist treats a cataract.

NATA Mock Test - 5 - Question 24

Every one of the following questions consists of a related pair of words, followed by five pairs of words. Choose the pair that best represents a similar relationship to the one expressed in the original pair of words.

PASTORAL : RURAL

Explanations:

metropolitan : urban

NATA Mock Test - 5 - Question 25

Every one of the following questions consists of a related pair of words, followed by five pairs of words. Choose the pair that best represents a similar relationship to the one expressed in the original pair of words.

TAILOR : SUIT

Explanations:

To tailor a suit is to alter it; to edit a manuscript is to alter it.

NATA Mock Test - 5 - Question 26

Find out which of the figures (a), (b), (c) and (d) can be formed from the pieces given in figure (X).

Explanations:

NATA Mock Test - 5 - Question 27

The below question consists of problem figures and followed by four answer figures (A), (B), (C) and (D). Find out the figure from the answer figures which will continue the given series.

Explanations:

NATA Mock Test - 5 - Question 28

The below question consists of a set of three figures K, L and M showing a sequence of folding of a piece of paper. Figure M shows the manner in which the folded paper has been cut. These three figures are followed by four figures (1), (2), (3) and (4) from which you have to choose a figure which would most closely resemble the unfolded form of

figure M.

Explanations:

NATA Mock Test - 5 - Question 29

For the below question, group the given figures into different classes on the basis of their

orientation, shape etc.

Explanations:

NATA Mock Test - 5 - Question 30

The below question consists of four figures a, b, c and d and followed by answer figures marked as (A), (B), (C) and (D) each consisting of two figures marked a and d. Select a figure from the answer sets which suitable in the problem figure such that c is related to figure d and in the same way figure a is related to figure b.

Explanations:

Solution From figure a to figure b: The entire series rotates in clockwise direction by 1 step and each element rotated by 180 degree.

NATA Mock Test - 5 - Question 31

In the below question, element (b) is related to element (a) in a particular way in three pairs of figures out of the given four. Find out the pair of figures in which the element (b) is not related to element (a).

Explanations:

Solution The upper two elements reflect mirror images, whereas the lower two elements reflect water images.

NATA Mock Test - 5 - Question 32

The below question consists of a question figure and followed by four figures (a), (b), (c) and (d). Choose one out of these four figures that can replace ‘?’ to complete the question figure.

Explanations:

NATA Mock Test - 5 - Question 33

Top of the dice is 5 and bottom of the dice is 2. And the remaining numbers are arranged in

ascending order in clockwise direction. Pick the correct statement.

Explanations:

6 is opposite to 3

NATA Mock Test - 5 - Question 34

The below question consists of a unfolded dice in the left side and four choices (a), (b), (c) and (d) are given in the form of complete dices in the right side. You are required to select the correct answer choice which is formed by folding the unfolded dice.

Explanations:

NATA Mock Test - 5 - Question 35

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

Explanations:

NATA Mock Test - 5 - Question 36

The below question consists of figure (Y) and followed by four alternatives (1), (2), (3) and (4). Choose the correct alternative among the four alternatives such that the pattern would appear like when the figure (Y) is folded at the dotted line.

Explanations:

NATA Mock Test - 5 - Question 37

Choose the correct mirror image for the given figure among the four alternatives (1), (2), (3) and (4). The mirror is represented by a line AB

Explanations:

NATA Mock Test - 5 - Question 38

Find the number of squares in the given figure

Explanations:

14 squares

NATA Mock Test - 5 - Question 39

The below question consists of a problem figure (X) followed by four other alternative figures marked (a), (b), (c) and (d). Select a figure from the alternative figures which exactly fit into figure(X) to form a complete square.

Explanations:

C

NATA Mock Test - 5 - Question 40

The below question consists of a figure matrix with one or more missing terms and followed by four answer figures (1), (2), (3) and (4). Find the correct answer figure that will replace '?'

Explanations:

NATA Mock Test - 5 - Question 41

Which one of the given set of figures violates the given rule?

Rule: Second figure is the mirror image of the first figure and the third figure is the water image of the first figure.

A.

B.

C.

D.

Explanations: B

NATA Mock Test - 5 - Question 42

The below question consists of a figure matrix with one or more missing terms and followed by five answer figures (1), (2), (3), (4) and (5). Find the correct answer figure that will replace the blanks.

Explanations:

The white leaf of figure (1) rotates

90∘ CW and the black leaf of figure (1) rotates

90∘ ACW to form figure (2).

NATA Mock Test - 5 - Question 43

The below question consists of two problems figures and followed by answer figure marked as (1), (2), (3) and (4). The two problem figures have some common characteristics. Select the answer figure which has the same characteristics as that of the problem figure.

Explanations:

The number of lines touching the figure = Number of sides – 1 and number of lines without touching the figure = Number of sides – 2.

NATA Mock Test - 5 - Question 44

Choose the correct alternative which contains figure (X) as its part.

Explanations:

B

NATA Mock Test - 5 - Question 45

Identify the given type of brick bonding

Explanations:

A Rat-Trap Bond is a type of wall brick masonry bond in which bricks are laid on edge (The height of each course in case of a brick size 230x110x75 mm, will be 110 mm plus mortar thickness) such that the shinner and rowlock are visible on the face of masonry

NATA Mock Test - 5 - Question 46

The 'Char Minar' is in

Explanations:

The Charminar is a monument in Hyderabad, India. The structure was built in 1591 AD. It is the most famous building of Hyderabad and also one of the most famous buildings in India. It was built by Muhammad Quli Qutb Shahi to celebrate the end of a deadly plague.

NATA Mock Test - 5 - Question 47

Where is the National Institute of Virology situated?

Explanations:

The National Institute of Virology is one of the major Institutes of the Indian Council of Medical Research (ICMR). It was established at Pune, Maharashtra State in 1952 as Virus Research Centre (VRC) under the auspices of the ICMR and the Rockefeller Foundation (RF), USA

NATA Mock Test - 5 - Question 48

The 'satellite freight city' is being developed near which of the following cities?

Explanations:

A satellite town or satellite city is a concept in urban planning that refers essentially to smaller metropolitan areas which are located somewhat near to, but are mostly independent of larger metropolitan areas.

NATA Mock Test - 5 - Question 49

Central Arid Zone Research Institute is located in

Explanations:

This was later expanded into Desert Afforestation and Soil Conservation Station in 1957, and finally upgraded to Central Arid Zone Research Institute (CAZRI) in 1959 under Indian Council of Agricultural Research, New Delhi. The CAZRI operates through Six Divisions, located at the headquarters in Jodhpur.

NATA Mock Test - 5 - Question 50

National Institute of Nutrition is located in which of the following place?

Explanations:

The National Institute of Nutrition (NIN) is an Indian Public health, Nutrition and Translational research center located in Hyderabad, India.[1][2] The institute is one of the oldest research centers in India, and the largest center, under the Indian Council of Medical Research, located in the vicinity of Osmania University. The institute has associated clinical and pediatric nutrition research wards at various hospitals such as the Niloufer Hospital for Women and Children, the

Government Maternity Hospital, the Gandhi Medical College and the Osmania General Hospital in Hyderabad.

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