NATA Mock Test - 2 - JEE MCQ

# NATA Mock Test - 2 - JEE MCQ

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## 50 Questions MCQ Test NATA Sample Papers & Mock Tests 2025 - NATA Mock Test - 2

NATA Mock Test - 2 for JEE 2024 is part of NATA Sample Papers & Mock Tests 2025 preparation. The NATA Mock Test - 2 questions and answers have been prepared according to the JEE exam syllabus.The NATA Mock Test - 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NATA Mock Test - 2 below.
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NATA Mock Test - 2 - Question 1

### The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is

Detailed Solution for NATA Mock Test - 2 - Question 1

Let the equation of the circle is

(x-1)2 + (y-k)2  = k2

It passes through (2, 3)

⇒ (2-1)2 + (3-k)2 = k2

⇒ 1+9+k2-6k = k2

⇒ 10-6k=0

⇒ k=-10/-6

⇒ k = 5/3

⇒ diameter = 10/3

NATA Mock Test - 2 - Question 2

### The value of ii is :

Detailed Solution for NATA Mock Test - 2 - Question 2

Let A=ii

⇒ log A = i log i

∵ ei θ = cos θ + i sin θ

∴ eiπ/2 = i

∴ i . π/2 = log i

∴ log A = i · i π/ 2 = - π / 2

⇒ A = e-π/2

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NATA Mock Test - 2 - Question 3

### If two vertices of a triangle are (5, -1), (-2, 3) and the orthocentre of the triangle lies at the origin, then the third vertex is

Detailed Solution for NATA Mock Test - 2 - Question 3

Let the third vertex C be (x1 , y1) since O(0, 0) is the orthocenter

mCO × mAB = – 1

⇒ y 1 - 0 x 1 - 0 · 3 - - 1 - 2 - 5 = - 1

⇒ y 1 x 1 · 4 7 = 1

⇒ 7 x 1 = 4 y 1

Also mBO × mAC = – 1

⇒ 3 - 2 × y 1 + 1 x 1 - 5 = - 1

⇒ 3 y 1 + 3 = 2 x 1 - 1 0

⇒ 3 × 7 4 x 1 + 3 = 2 x 1 - 1 0

⇒ x1 = – 4

y1 = – 7

Hence, the third vertex is (– 4, – 7)

NATA Mock Test - 2 - Question 4

If a < 0, the function f(x) = eax + e- ax is a monotonically decreasing function for values of x

given by :

Detailed Solution for NATA Mock Test - 2 - Question 4

f(x) = eax + e- ax

But a < 0

∴ e ax - e - ax > 0

⇒ e ax > e - ax

⇒ ax > - ax ⇒ 2 ax > 0

∴ ax > 0, then x < 0 (∴ a < 0)

NATA Mock Test - 2 - Question 5

How many three-digit numbers can be formed without using the digits 0, 2, 3, 4, 5 and 6 ?

Detailed Solution for NATA Mock Test - 2 - Question 5

A three-digit number is formed by choosing a digit for each of the hundreds, tens, and units places.

Since 0 cannot be used and 1, 7, 8, and 9 are the only available digits, each place (hundreds, tens, and units) must be filled by one of these four digits.

Thus, we have:

• 4 choices for the hundreds place (1, 7, 8, 9)
• 4 choices for the tens place (1, 7, 8, 9)
• 4 choices for the units place (1, 7, 8, 9)

The total number of different three-digit numbers that can be formed is calculated by multiplying the number of choices for each place:

4 × 4 × 4 = 64

Therefore, the correct answer is: 64

NATA Mock Test - 2 - Question 6

For what value of 'a' is the area bounded by the curve y=a2 x 2+ax+1 and

the straight line y = 0, x = 0 & x = 1 the least ?

Detailed Solution for NATA Mock Test - 2 - Question 6

NATA Mock Test - 2 - Question 7

How many five digit numbers can be formed by using the digits 1,2,3,4,5 without repetition of digits?

Detailed Solution for NATA Mock Test - 2 - Question 7

1,2,3,4,5

Number of given digits (=5) Number of Digits number

to be formed (=5) Number of such numbers

NATA Mock Test - 2 - Question 8

A particle is moving in a circular motion of radius R. Its tangential retardation at any time is equal to the centripetal acceleration. If it starts with speed v0, then the speed after one revolution is

Detailed Solution for NATA Mock Test - 2 - Question 8

Hence, speed after one revolution

NATA Mock Test - 2 - Question 9

A particle starts moving with velocity from origin, where k is a constant. The general equation for its path is

Detailed Solution for NATA Mock Test - 2 - Question 9

Comparing vx = ky2

vy = kx

and slope

NATA Mock Test - 2 - Question 10

A stationary body of mass 3 kg explodes in to three pieces of equal mass. Two of the piece fly off along x-axis and yaxis with equal speed 2 m/s and time of explosion is 10–3 s, then average force on the third piece

Detailed Solution for NATA Mock Test - 2 - Question 10

By conservation of angular momentum

and average force on third particle

NATA Mock Test - 2 - Question 11

Two particles of equal mass are moving along x-axis and y-axis respectively, if initial velocity of 1st particle is zero but acceleration is constant whereas 2nd particle acceleration is zero, then path of centre of mass

Detailed Solution for NATA Mock Test - 2 - Question 11

x ∝ y2, path is parabolic.

NATA Mock Test - 2 - Question 12

Find the P – O bonds are present in P4O6?

Detailed Solution for NATA Mock Test - 2 - Question 12

NATA Mock Test - 2 - Question 13

When hydrogen peroxide is added to acidified potassium dichromate, a blue colour is produced due to the formation of

Detailed Solution for NATA Mock Test - 2 - Question 13

NATA Mock Test - 2 - Question 14

If B.O.D. of a river is high, it means that the river is

NATA Mock Test - 2 - Question 15

Which of the following has unstable enol form?

Detailed Solution for NATA Mock Test - 2 - Question 15
Enol of has anti-aromatic character which is least stable i.e. unstable enol forms of others are stable due to aromatic character and H-bonding.
NATA Mock Test - 2 - Question 16

Red, Yellow and _________ form a primary colour scheme

Detailed Solution for NATA Mock Test - 2 - Question 16

Any of a group of colours from which all other colours can be obtained by mixing.Red, Yellow and Blue form a primary colour scheme

NATA Mock Test - 2 - Question 17

Identify the structure

Detailed Solution for NATA Mock Test - 2 - Question 17

The Rashtrapati Bhavan is the official home of the President of India located at the Western end of Rajpath in New Delhi, India.

NATA Mock Test - 2 - Question 18

What is the finish of sanitary fittings

Detailed Solution for NATA Mock Test - 2 - Question 18

The following sanitary fittings are commonly used in buildings, for efficient collection and removal to the house drain: 1. Wash basins 2. Sinks 3. Bath tubs 4. Water closets 5. Urinals 6. Flashing cisterns

NATA Mock Test - 2 - Question 19

A 3-D problem figure is given below. Identify the correct front view from the options

NATA Mock Test - 2 - Question 20

A 3-D problem figure is given below. Identify the correct top view from the options

NATA Mock Test - 2 - Question 21

Identify the structure

Detailed Solution for NATA Mock Test - 2 - Question 21

The Statue of Liberty is a colossal neoclassical sculpture on Liberty Island in New York Harbor in New York, in the United States. The copper statue, a gift from the people of France to the people of the United States, was designed by French sculptor Frédéric Auguste Bartholdi and its metal framework was built by Gustave Eiffel. The statue was dedicated on October 28, 1886.

NATA Mock Test - 2 - Question 22

If a colour is made darker by adding black, the result is called a __________.

Detailed Solution for NATA Mock Test - 2 - Question 22

NATA Mock Test - 2 - Question 23

Complete the series of the problem figures by choosing the correct answer from the options given below

NATA Mock Test - 2 - Question 24

CN Tower is also known as

Detailed Solution for NATA Mock Test - 2 - Question 24

Its name "CN" originally referred to Canadian National, the railway company that built the tower. Following the railway's decision to divest non-core freight railway assets prior to the company's privatization in 1995, it transferred the tower to the Canada Lands Company, a federal Crown corporation responsible for real estate development.

NATA Mock Test - 2 - Question 25

Higher the purity of a colour, higher the ______.

Detailed Solution for NATA Mock Test - 2 - Question 25

Chroma: the quality of a color's purity, intensity or saturation. For example: A gray color is a neutral -- an extreme low chroma. Fire-engine red may be a hi chroma red.

NATA Mock Test - 2 - Question 26

Identify the building

Detailed Solution for NATA Mock Test - 2 - Question 26

LIC Building is a 15-storied building in Chennai, India, serving as the southern regional headquarters of the Life Insurance Corporation of India

NATA Mock Test - 2 - Question 27

Find the correct 3-D figure from the options, which has the same front view as given in the problem figure, looking in the direction of the arrow

A.

B.

C.

D.

NATA Mock Test - 2 - Question 28

Identify the building

Detailed Solution for NATA Mock Test - 2 - Question 28

The Petronas Towers, also known as the Petronas Twin Towers, are twin skyscrapers. According to the Council on Tall Buildings and Urban Habitat (CTBUH)'s official definition and ranking, they were the tallest buildings in the world from 1998 to 2004 and remain the tallest twin towers in the world.

NATA Mock Test - 2 - Question 29

In the given problem figure, find out the total number of surfaces of objects

NATA Mock Test - 2 - Question 30

TEOTIHUACAN is famous for ___________

Detailed Solution for NATA Mock Test - 2 - Question 30

TEOTIHUACAN is an ancient Mesoamerican city located in a sub-valley of the Valley of Mexico, located in the State of Mexico 40 kilometres (25 mi) northeast of modern-day Mexico City, known today as the site of many of the most architecturally significant Mesoamerican pyramids built in the pre-Columbian Americas.

NATA Mock Test - 2 - Question 31

A sheet of paper is folded & cut in the given steps. Select the correct answer from the options given below which resembles the pattern paper acquires when it is unfolded

NATA Mock Test - 2 - Question 32

Why India Gate was built ?

Detailed Solution for NATA Mock Test - 2 - Question 32

This monument is regarded as the heritage of India and is located on RajPath in New Delhi. India Gate was designed by Sir Edwin Lutyens and was built in 1931 and initially named as 'All India War Memorial'. ... India Gate was built to honor these soldiers.

NATA Mock Test - 2 - Question 33

Identify the structure

Detailed Solution for NATA Mock Test - 2 - Question 33

The Louvre Pyramid is a large glass and metal pyramid designed by Chinese-American architect I. M. Pei, surrounded by three smaller pyramids, in the main courtyard ) of the Louvre Palace in Paris

NATA Mock Test - 2 - Question 34

Why was Statue Of Liberty Built?

Detailed Solution for NATA Mock Test - 2 - Question 34

1865 - 1886. In 1865, a French political intellectual and anti-slavery activist named Edouard de Laboulaye proposed that a statue representing liberty be built for the United States. This monument would honor the United States' centennial of independence and the friendship with France.

NATA Mock Test - 2 - Question 35

Which of the following dices is identical to the unfolded figure shown below

NATA Mock Test - 2 - Question 36

Why is Statue Of Liberty green in colour ?

Detailed Solution for NATA Mock Test - 2 - Question 36

When the Statue was unveiled in 1886, it was a shiny brown color, like a penny. By 1906, the color had changed to green. The reason the Statue of Liberty changed colors is that the outer surface is covered with hundreds of thin copper sheets. Copper reacts with the air to form a patina or verdigris.

NATA Mock Test - 2 - Question 37

Understand the relationship between a & b. Choose the missing figure from the options given such that a similar relationship is established between c & d

NATA Mock Test - 2 - Question 38

In the given problem figure, find out the total number of surfaces of objects

NATA Mock Test - 2 - Question 39

Identify the structure

Detailed Solution for NATA Mock Test - 2 - Question 39

The Taj Mahal meaning "Crown of the Palaces" is an ivory-white marble mausoleum on the south bank of the Yamuna river in the Indian city of Agra

NATA Mock Test - 2 - Question 40

____________ is a tint of red.

Detailed Solution for NATA Mock Test - 2 - Question 40
Pink is a tint of red.

NATA Mock Test - 2 - Question 41

Identify the material

Detailed Solution for NATA Mock Test - 2 - Question 41

The material in the image is Glass.

NATA Mock Test - 2 - Question 42

A sheet of paper is folded & cut in the given steps. Select the correct answer from the options given below which resembles the pattern paper acquires when it is unfolded

NATA Mock Test - 2 - Question 43

Understand the relationship between a & b. Choose the missing figure from the options given such that a similar relationship is established between c & d

NATA Mock Test - 2 - Question 44

If Orange : Juice, then Mango : ________

Detailed Solution for NATA Mock Test - 2 - Question 44

Mango pulp is the inner fleshy yellow, sweet part of the mango. Pulp of mango can be easily extracted by peeling any variety of mango and then crushing it. In order to extract mango pulp, crush using your hands or put the pieces in a mixer or food processor and blend to a pulp.

NATA Mock Test - 2 - Question 45

Understand the relationship between a & b. Choose the missing figure from the options given such that a similar relationship is established between c & d

NATA Mock Test - 2 - Question 46

Violet, indigo, blue, green, yellow, orange, red form the ____________.

Detailed Solution for NATA Mock Test - 2 - Question 46

There are seven wavelength ranges within the visible spectrum that each correspond to a different color. The colors fall in an order commonly referred to with the acronym ROYGBIV. ROYGBIV can aid in remembering the order of the colors: red, orange, yellow, green, blue, indigo, and violet.

NATA Mock Test - 2 - Question 47

Assuming the question figure to be a transparent sheet with a given pattern. Find out the

correct figure from the options which would appear when the problem figure is

folded along the dotted line

NATA Mock Test - 2 - Question 48

A 3-D problem figure is given below. Identify the correct front view from the options.

NATA Mock Test - 2 - Question 49

In the given problem figure, find out the total number of surfaces of objects

NATA Mock Test - 2 - Question 50

Complete the series of the problem figures by choosing the correct answer from the options given below

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