NATA Mock Test - 3 - JEE MCQ

# NATA Mock Test - 3 - JEE MCQ

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## 50 Questions MCQ Test NATA Sample Papers & Mock Tests 2025 - NATA Mock Test - 3

NATA Mock Test - 3 for JEE 2024 is part of NATA Sample Papers & Mock Tests 2025 preparation. The NATA Mock Test - 3 questions and answers have been prepared according to the JEE exam syllabus.The NATA Mock Test - 3 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NATA Mock Test - 3 below.
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NATA Mock Test - 3 - Question 1

### Three charges e, e and - 2e are placed at the corners of the triangle as shown. The net dipole moment of the system is

Detailed Solution for NATA Mock Test - 3 - Question 1

At A, the x-components of the two dipole moments cancel and y-components add.

∴ Py 2Pcos α

NATA Mock Test - 3 - Question 2

### A mass is attached to one end of a spring of spring constant k. The spring is stretched and then released such that its amplitude of oscillation is A. For a displacement y from the mean position, if the kinetic energy is 44% of its potential energy, then y in terms of A is

Detailed Solution for NATA Mock Test - 3 - Question 2

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NATA Mock Test - 3 - Question 3

### At a given instant there are 25% of undecayed radioactive nuclei in a sample. After 20s, the number of undecayed nuclei reduces to 12.5%. The extra time required in which the number of undecayed nuclei will further reduce to 3.125% of the sample is-

Detailed Solution for NATA Mock Test - 3 - Question 3

Half-life of the radioactive sample, t1/2 = time in which the number of undecayed nuclei becomes half = 20 sec (given).
The material further reduces to 3.125% in n half-lives is given by

where Nis % of undecayed nuclie after n half lifes , and A is % of undecayed nuclie initially.
here N= 3.125 %
and Ni = 12.5 %
so,
so time taken t = nt1/2 = 2 x 20 = 40 second

NATA Mock Test - 3 - Question 4

The escape velocity for an atmospheric particle 2000 km above the earth's surface is (Radius of the earth = 6.4 x 106 m and g = 10 m s- 2 )

Detailed Solution for NATA Mock Test - 3 - Question 4

Escape velocity v
At the above the Earth,s surface = and

NATA Mock Test - 3 - Question 5

A circular disc of radius r and thickness r/6 has moment of inertia I about an axis passing through its centre and perpendicular to its plane. It is melted and recasted to a solid sphere. The moment of inertia of the sphere about its diameter as axis of rotation is

Detailed Solution for NATA Mock Test - 3 - Question 5

Volume oc circular disc = surface of area x thickness

The mass of the circular disc and sphere are the same

where R is the radius of the sphere,

Moment of interia of a circluar disc

Moment of interia of solid sphere

NATA Mock Test - 3 - Question 6

The intermediate formed in the following reaction is-

Detailed Solution for NATA Mock Test - 3 - Question 6

The reaction is an example of cine subsitution or elimination addition

NATA Mock Test - 3 - Question 7

The compound present in brorax bead is

Detailed Solution for NATA Mock Test - 3 - Question 7

This test is meant for detecting the coloured cations. When borax is heated on a platinum loop it swells up into a white porous mass first which on subsequent heating melts into a shining transparent glass bead (B2O3).

When this glass bead is heated with coloured compounds, a characteristic colour of metaborate is formed.

However, in a reducing flame, a different colour is obtained.

NATA Mock Test - 3 - Question 8

The correct decreasing order of acidic nature is

Detailed Solution for NATA Mock Test - 3 - Question 8

Acidic character depends on stability of conjugate base. More stable conjugate base, more will be the acidic character

Electronegativity of Cl > Br > I So stability order of conjugate bases CIO- > BrO- > IO- Hence acidic character HCIO > HBrO > HIO

NATA Mock Test - 3 - Question 9

In  the formal charge on each oxygen atom and P - 0 bond order respectively are

Detailed Solution for NATA Mock Test - 3 - Question 9

on exist ;n 4 resonating structures. Bond order of

3 negative charges of the ion is beings h are d by 4 oxygen atoms,
∴ formal charge on an O atom = -3/4

NATA Mock Test - 3 - Question 10

Which one of the following compounds is not aromatic?

Detailed Solution for NATA Mock Test - 3 - Question 10

Aromaticity of a compound can be decided by Huckel's rule.
Huckel's rules are as follows:
1. Compound must be cyclic
2. The cyclic compound must have resonance and complete delocalization of electrons i.e., there must be conjugation.
3. The total number of pi electrons must fit the formula = 4n + 2, where n is a non - negative integer.
The important summary of this concept is as follows: (Remember this summary)

NATA Mock Test - 3 - Question 11

The coefficient of x5 in (1+2x+3x2+……….up to infinite term)-3/2 is

Detailed Solution for NATA Mock Test - 3 - Question 11

(1+2x+3x2+………)–3/2
=((1–x)–2)–3/2
= (1 − x)3 = 1 − 3x + 3x2 − x3
∴ coefficient of x5 = 0.

NATA Mock Test - 3 - Question 12

Sum to the infinity of the series

Detailed Solution for NATA Mock Test - 3 - Question 12

NATA Mock Test - 3 - Question 13

Detailed Solution for NATA Mock Test - 3 - Question 13

Limit is of the form 1, so we have

= (ln a + ln b + ln c) 2/3
= 2/3(ln abc)
∴ Desired limit =

NATA Mock Test - 3 - Question 14

If the progressions 3, 10, 17, ....... and 63, 65, 67, ....... are such that their nth terms are equal, then n is equal to

Detailed Solution for NATA Mock Test - 3 - Question 14

nth term of 1st series =nth term of 2nd series
⇒ 3 + (n − 1) 7 = 63 + (n − 1) 2
⇒ (n − 1)5 = 60
⇒ n -1=12
⇒ n = 13

NATA Mock Test - 3 - Question 15

If the latus rectum of a hyperbola through one focus, subtends 60 ° angle at the other focus, then its eccentricity is

Detailed Solution for NATA Mock Test - 3 - Question 15

Taking only positive value of e as eccentricity cannot be negative.

NATA Mock Test - 3 - Question 16

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:

Get the next figure from the previous figure by swapping the elements as shown above and rotate the other elements through 180∘ and shift one place in anticlockwise direction.

NATA Mock Test - 3 - Question 17

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.

Detailed Solution for NATA Mock Test - 3 - Question 17

NATA Mock Test - 3 - Question 18

The below question consists of a set of four figures K, L, M and N showing a sequence of folding of a piece of paper. Figure N shows the manner in which the folded paper has been cut. These four figures are followed by another 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 N.

Detailed Solution for NATA Mock Test - 3 - Question 18

NATA Mock Test - 3 - Question 19

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

Detailed Solution for NATA Mock Test - 3 - Question 19

NATA Mock Test - 3 - Question 20

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 is 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.

Detailed Solution for NATA Mock Test - 3 - Question 20

From figure a to figure b: The first element encloses the other two elements, and the second element is mounted on the third element.

NATA Mock Test - 3 - Question 21

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).

Detailed Solution for NATA Mock Test - 3 - Question 21

In each option, on combining a and b gives a complete black block except in option D.

NATA Mock Test - 3 - Question 22

The below question consists of a question figure and followed by four figures (a), (b), (c) and

(d), which show the possible water images of the question figure. Choose one out of these four figures which shows the correct water image of the question figure.

Detailed Solution for NATA Mock Test - 3 - Question 22

NATA Mock Test - 3 - Question 23

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.

Detailed Solution for NATA Mock Test - 3 - Question 23

NATA Mock Test - 3 - Question 24

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).

Detailed Solution for NATA Mock Test - 3 - Question 24

NATA Mock Test - 3 - Question 25

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.

Detailed Solution for NATA Mock Test - 3 - Question 25

NATA Mock Test - 3 - Question 26

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.

Detailed Solution for NATA Mock Test - 3 - Question 26

NATA Mock Test - 3 - Question 27

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

Detailed Solution for NATA Mock Test - 3 - Question 27

NATA Mock Test - 3 - Question 28

. Find the number of triangles in the given figure

Detailed Solution for NATA Mock Test - 3 - Question 28

16 (triangles formed by single unit) + 7(triangles formed by four triangles) + 3(triangles formed by combining 9 triangles) + 1(big triangle) = 27

NATA Mock Test - 3 - Question 29

. 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 hexagon.

Detailed Solution for NATA Mock Test - 3 - Question 29

NATA Mock Test - 3 - Question 30

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

Detailed Solution for NATA Mock Test - 3 - Question 30

(137), (268), (459)

NATA Mock Test - 3 - Question 31

The below question consists of a four figures. Three are similar in a certain way and so form a

group. Find out which one of the figures does not belong to that group.

Detailed Solution for NATA Mock Test - 3 - Question 31

In all figures, the angle between two leaves is 145 except in third figure.

NATA Mock Test - 3 - Question 32

The below question consists of a four figures. Three are similar in a certain way and so form a

group. Find out which one of the figures does not belong to that group.

Detailed Solution for NATA Mock Test - 3 - Question 32

Clearly, we can say the first three figures are following some pattern.

NATA Mock Test - 3 - Question 33

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

Detailed Solution for NATA Mock Test - 3 - Question 33

NATA Mock Test - 3 - Question 34

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

orientation, shape etc.

Detailed Solution for NATA Mock Test - 3 - Question 34

(249), (167), (358)

NATA Mock Test - 3 - Question 35

The below question consists of a five figures. Four are similar in a certain way and so form a group. Find out which one of the figures does not belong to that group.

Detailed Solution for NATA Mock Test - 3 - Question 35

If all the figures are rotated so that the semicircle lies on the top, then the shaded part of the rectangle lies on the LHS.

NATA Mock Test - 3 - Question 36

Identify the given image

Detailed Solution for NATA Mock Test - 3 - Question 36

The Great Mosque of Kairouan is one of the most impressive and largest Islamic monuments in North Africa; its perimeter is almost equal to 405 metres (1,328 feet). This space contains a hypostyle prayer hall, a marble-paved courtyard and a square minaret.

NATA Mock Test - 3 - Question 37

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.

DIVISION : SECTION

Detailed Solution for NATA Mock Test - 3 - Question 37

Division and section are synonyms; layer and tier are synonym

NATA Mock Test - 3 - Question 38

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.

Detailed Solution for NATA Mock Test - 3 - Question 38

Depressed is an intensification of sad; exhausted is an intensification of tire

NATA Mock Test - 3 - Question 39

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.

BRISTLE : BRUSH

Detailed Solution for NATA Mock Test - 3 - Question 39

A bristle is a part of a brush; a key is a part of a piano.

NATA Mock Test - 3 - Question 40

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.

RAIN : DRIZZLE

Detailed Solution for NATA Mock Test - 3 - Question 40

To drizzle is to rain slowly; to jog is to run slowly.

NATA Mock Test - 3 - Question 41

The depression in the brick is called as

Detailed Solution for NATA Mock Test - 3 - Question 41

Frog is a depression made on the face of bricks during moulding.

NATA Mock Test - 3 - Question 42

Quick lime (or caustic lime)

Detailed Solution for NATA Mock Test - 3 - Question 42

Calcium oxide (CaO), commonly known as quicklime or burnt lime, is a widely used chemical compound. It is a white, caustic, alkaline, crystalline solid at room temperature. Calcium oxide that survives processing without reacting in building products such as cement is called free lime.

NATA Mock Test - 3 - Question 43

Pick up the correct statement from the following:

Detailed Solution for NATA Mock Test - 3 - Question 43
• soft stones are required for carving
• light stones are required for arches
• hard stones are required to stand high pressure
NATA Mock Test - 3 - Question 44

Name the type of cement from the following for canal linings :

Detailed Solution for NATA Mock Test - 3 - Question 44

Sulphate Resisting Portland Cement is a type of Portland cement in which the amount of Tricalcium aluminate (C3A) is restricted to lower than 5 % and (2C3A + C4AF) is lower than 25%. SRC can be used for structural concrete wherever OPC or PPC or Slag Cement is usable under normal conditions.

NATA Mock Test - 3 - Question 45

Mastic asphalt is generally used for

Detailed Solution for NATA Mock Test - 3 - Question 45

Mastic Asphalt is an ideal material for a whole range of construction applications, in both new build and refurbishment, where a smooth, seamless, durable surface is required. It offers total waterproofing integrity for roofing and tanking and acts as a tough working surface in flooring and paving.

NATA Mock Test - 3 - Question 46

The headquarters of the National Power Training institute is located in

Detailed Solution for NATA Mock Test - 3 - Question 46

The corporate office of NPTI is at Faridabad, Haryana. NPTI operates on an all India basis through its units in different zones of the country.

NATA Mock Test - 3 - Question 47

The Dr. Babasaheb Ambedkar Marathwada University is at which of the following places?

Detailed Solution for NATA Mock Test - 3 - Question 47

Dr. Babasaheb Ambedkar Marathwada University, formerly Marathwada University, is located in Aurangabad, Maharashtra, Republic of India. It is named after Bharat Ratna Dr. "Babasaheb" Ambedkar, an Indian jurist, political leader, academic and the chief architect of the Indian Constitution

NATA Mock Test - 3 - Question 48

The Indian Institute of Science is located at

Detailed Solution for NATA Mock Test - 3 - Question 48

Indian Institute of Science (IISc) is a public university for scientific research and higher education located in Bangalore, India. Established in 1909 with active support from Jamsetji Tata and H.H. Sir Krishnaraja Wodeyar IV, the Maharaja of Mysore. It is also locally known as the "Tata Institute".

NATA Mock Test - 3 - Question 49

'Bagh', a village in Gwalior is famous for

Detailed Solution for NATA Mock Test - 3 - Question 49

'Bagh', a village in Gwalior is famous for. The Bagh Caves are a group of nine rock-cut monuments, situated among the southern slopes of the Vindhyas in Bagh town of Dhar district in Madhya Pradesh state in central India. These monuments are located at a distance of 97 km from Dhar town.

NATA Mock Test - 3 - Question 50

Which city is known as 'Electronic City of India'?

Detailed Solution for NATA Mock Test - 3 - Question 50

Electronic City is an information technology hub in Bangalore, India, located in Anekal taluk. It is one of India's largest electronic/IT industrial parks, spread over 800 acres (3.2 km2) in Konappana Agrahara and Doddathogur villages in Bangalore.

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