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JEE Exam  >  JEE Tests  >  NATA Sample Papers & Mock Tests 2025  >  NATA Mock Test - 3 - JEE MCQ

NATA Mock Test - 3 - JEE MCQ


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30 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
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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 2P1 cos α

NATA Mock Test - 3 - Question 2
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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
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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 Nf is % of undecayed nuclie after n half lifes , and A is % of undecayed nuclie initially.
here Nf = 3.125 %
and Ni = 12.5 %
so, 
so time taken t = nt1/2 = 2 x 20 = 40 second

NATA Mock Test - 3 - Question 4
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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 ve = 
At the above the Earth,s surface = and 

NATA Mock Test - 3 - Question 5
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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
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The intermediate formed in the following reaction is-
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The reaction is an example of cine subsitution or elimination addition

NATA Mock Test - 3 - Question 7
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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
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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
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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
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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
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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
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Sum to the infinity of the series
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NATA Mock Test - 3 - Question 13
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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
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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
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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
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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
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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
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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.
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NATA Mock Test - 3 - Question 19
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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
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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
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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
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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
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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.
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NATA Mock Test - 3 - Question 24
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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
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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
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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
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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
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NATA Mock Test - 3 - Question 28
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. 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
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. 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
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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)

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