NATA Mock Test - 1 - JEE MCQ

# NATA Mock Test - 1 - JEE MCQ

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## 50 Questions MCQ Test - NATA Mock Test - 1

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NATA Mock Test - 1 - Question 1

### Following graph is plotted between displacement and time. Its acceleration is best described as (where b, c are +ve constants)

Detailed Solution for NATA Mock Test - 1 - Question 1

From the graph it is clear

Velocity is the slope of displacement-time graph. It is first negative, then zero and finally, positive. Hence, velocity continuously increasing so acceleration must be always positive.

NATA Mock Test - 1 - Question 2

### For acute angle θ, find value of sec2θ−tan2θ

Detailed Solution for NATA Mock Test - 1 - Question 2

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NATA Mock Test - 1 - Question 3

### The oxidation states of S-atoms in Marshall’s acid and Caro’s acids are respectively

Detailed Solution for NATA Mock Test - 1 - Question 3

Marshall’s acid is H2S2O8 and Caro’s acid is H2SO5

O state of S = +6

NATA Mock Test - 1 - Question 4

First ionisation energy is lowest for

Detailed Solution for NATA Mock Test - 1 - Question 4
Sn has minimum first ionisation enthalpy.

NATA Mock Test - 1 - Question 5

An electron return from excited state to ground state in H-atom and emits a photon of wavelength l, the principle quantum number of excited state is given by

Detailed Solution for NATA Mock Test - 1 - Question 5

NATA Mock Test - 1 - Question 6

If resistance R = (100 ± 5) Ω and current I = (10 ± 0.2) A. The percentage error in thermal power (P = I2R) is

Detailed Solution for NATA Mock Test - 1 - Question 6

As P = I2R

Hence, relative error in thermal power

Hence, % error in power = 9%.

NATA Mock Test - 1 - Question 7

If the system of linear equations : x+ 3y +7z = 0 -x + 4y +7z = 0 (sin3θ)x+ (cos2 θ)y +2z = 0 has a non-trivial solution, then the number of values of θ lying in the interval [0, π], is

Detailed Solution for NATA Mock Test - 1 - Question 7
NATA Mock Test - 1 - Question 8

The number of integral values of m for which the equation, (1 + m2) x2 – 2(1 + 3m) x + (1 + 8m) = 0, has no real root, is:

Detailed Solution for NATA Mock Test - 1 - Question 8

NATA Mock Test - 1 - Question 9

The negation of A →(A v ∼ B) is

Detailed Solution for NATA Mock Test - 1 - Question 9

NATA Mock Test - 1 - Question 10

Which of the following compound does not decompose on heating?

Detailed Solution for NATA Mock Test - 1 - Question 10

Na2CO3 does not decompose whereas NaHCO3, MgCO3 and Ca(HCO3)2 decompose on heating

NATA Mock Test - 1 - Question 11

If a particle moving in a straight line with uniform acceleration starting from rest covers displacement S1 in pth second and displacement S2 in (p + 1)th second, then the displacement upto p seconds is given by

Detailed Solution for NATA Mock Test - 1 - Question 11

Displacement in nth second

Substituting the value of a from equation (3)

NATA Mock Test - 1 - Question 12

If f is a function of real variable x satisfying f(x + 4) – f(x + 2) +f(x) = 0, then f is a periodic function with period:

Detailed Solution for NATA Mock Test - 1 - Question 12

f(x + 4) – f(x + 2) + f(x) = 0 f(x + 6) – f(x + 4) + f(x + 2) = 0

∴ f(x + 6) + f(x) = 0

⇒ f(x + 12) + f(x + 6) = 0

∴ f(x + 12) = f(x)

⇒ f(x) is periodic with period 12.

NATA Mock Test - 1 - Question 13

A box contains 5 black and 4 white balls. A ball is drawn at random and its colour is noted. The ball is then put back in the box along with two additional balls of its opposite colour. If a ball is drawn again from the box, then the probability that the ball drawn now is black, is

Detailed Solution for NATA Mock Test - 1 - Question 13

NATA Mock Test - 1 - Question 14

A particle is moving in uniform circular motion with speed v of radius R. The ratio of average velocity to average acceleration in half of the circle

Detailed Solution for NATA Mock Test - 1 - Question 14

Average velocity from A to B

Average acceleration from A to B

NATA Mock Test - 1 - Question 15

Lest S = (z ε C : z(iz1 - 1) = z1 + 1, |z1| + 1, Then, for all z ε S, which of the following is always true?

Detailed Solution for NATA Mock Test - 1 - Question 15

NATA Mock Test - 1 - Question 16

Find the odd one out. 8, 27, 64, 100, 125, 216, 343

Detailed Solution for NATA Mock Test - 1 - Question 16
he pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube.

NATA Mock Test - 1 - Question 17

The drawing represents a flat piece of sheet. The dotted lines show where the sheet has to be folded. Find the object that can be made by folding the sheet.

Detailed Solution for NATA Mock Test - 1 - Question 17

NATA Mock Test - 1 - Question 18

Find the mirror image

Detailed Solution for NATA Mock Test - 1 - Question 18

NATA Mock Test - 1 - Question 19

Which one of the answer figures, shows the correct view of the 3-D problem figure, after the problem figure opened up.

Detailed Solution for NATA Mock Test - 1 - Question 19

NATA Mock Test - 1 - Question 20

Bibi ka maqbara’ bears a striking resemblance to which famous monument?

Detailed Solution for NATA Mock Test - 1 - Question 20
The Bibi ka Maqbara is a tomb located in Aurangabad, Maharashtra, India. It was built by Mughal emperor Aurangzeb's son Azam Shah in the memory of his mother. It bears a striking resemblance to the famous Taj Mahal, the mausoleum of wife of Shah Jahan. He had built the Badshahi Mosque at Lahore one of the largest Mosques in the world and the largest one at that time, as well as the small, but elegant, Pearl Mosque at Delhi.

NATA Mock Test - 1 - Question 21

_____________is generally used as reinforcement in RCC.

Detailed Solution for NATA Mock Test - 1 - Question 21
Reinforced Cement Concrete (R.C.C.) is the combination of ordinary concrete with the reinforcement to increase its compressive and tensile strength to a great extent. Concrete is a versatile material for modern construction which is prepared by mixing well proportioned quantities of cement, sand, crushed rock orgravel and water.

It has been used from foundations to the rooftop of the buildings, in the construction of highways, roads traffic etc.

NATA Mock Test - 1 - Question 22

Find the odd one out. 396, 462, 572, 427, 671, 264

Detailed Solution for NATA Mock Test - 1 - Question 22

In each number except 427, the middle digit is the sum of other two.

NATA Mock Test - 1 - Question 23

Select from the alternatives, the cube that can be formed by folding the following sheet:

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NATA Mock Test - 1 - Question 24

What is the value of angle of response for clay(dry) soil.

Detailed Solution for NATA Mock Test - 1 - Question 24

The depth of footing should also be such that the rate of angle of spread of the load from the wall base to the outer edge of ground bearing does not exceed the permissible value.

NATA Mock Test - 1 - Question 25

_______________is the world’s 2nd largest stadium and is located in India

Detailed Solution for NATA Mock Test - 1 - Question 25
1st Largest Stadium- Budh International Circuit with 1,20,000 capacity (Greater Noida), UP. 2nd Largest Stadium- Salt Lake Stadium, Kolkata with 80,000 capacity(Kolkata) 3rd Largest Stadium- Jawahar Lal Nehru Stadium, New Delhi

NATA Mock Test - 1 - Question 26

Which of the answer figures is the correct water reflection of the problem figure?

Detailed Solution for NATA Mock Test - 1 - Question 26

NATA Mock Test - 1 - Question 27

Insert the missing number. 16, 33, 65, 131, 261, (....)

Detailed Solution for NATA Mock Test - 1 - Question 27
Each number is twice the preceding one with 1 added or subtracted alternatively.

So, the next number is (2 x 261 + 1) = 523.

NATA Mock Test - 1 - Question 28

Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?

Detailed Solution for NATA Mock Test - 1 - Question 28

NATA Mock Test - 1 - Question 29

______________is the architect of ‘Bharat Bhavan’ in Bhopal.

Detailed Solution for NATA Mock Test - 1 - Question 29
Charles Correa widely known for his works in contemporary architecture, played an important and vital role in the development of architecture in India after Independence. His principles of designing includes prevailing resources, energy and climatic aspects to create and determine order of space. His works include the Chapalimaud Foudation Centre in Lisbon, also famous by the name "Project to the Unknown", the Sabarmati Ashram in Ahmedabad and the Madhya Pradesh Legislative Assembly in Bhopal. Craft Museum, New Delhi, Bharat Bhavan, Bhopal, Jawahar Kala Kendra in Jaipur are some other examples of his intellectual knowledge.

NATA Mock Test - 1 - Question 30

Identify the building in the given image

Detailed Solution for NATA Mock Test - 1 - Question 30
LIC of India Head Office Address: LIC of India Company Limited Registered Office, Jeevan Bima Marg, Nariman Point, Mumbai, Maharashtra

NATA Mock Test - 1 - Question 31

The indentation on the top of a brick is called

Detailed Solution for NATA Mock Test - 1 - Question 31
The depression provided in the face of brick during its manufacturing is known as frog of bricks. Depth of the brick is 10mm to 20mm. If the bricks are laid according to British standards, the frog should be laid upward and filled with mortar. When the frog is laid upwards, the load is evenly spread throughout the width of the brick all the way down to the foundations. If the frog is laid down, the load is forced to the outsides of the brick.

NATA Mock Test - 1 - Question 32

Which of the following buildings is NOT designed by Hafeez Contractor?

Detailed Solution for NATA Mock Test - 1 - Question 32
Hafeez Contractor is an Indian architect. He has designed many skyscrapers in India, primarily in the city of Mumbai.

NATA Mock Test - 1 - Question 33

Find the odd one out. 3, 5, 11, 14, 17, 21

Detailed Solution for NATA Mock Test - 1 - Question 33
Each of the numbers except 14 is an odd number.

The number '14' is the only EVEN number.

NATA Mock Test - 1 - Question 34

Which one of the following is not built in red sandstone?

Detailed Solution for NATA Mock Test - 1 - Question 34
Golkonda, also known as Golconda, is a citadel and fort in Southern India and was the capital of the medieval sultanate of the Qutb Shahi dynasty (c.1512–1687), is situated 11 km (6.8 mi) west of Hyderabad. Golkonda Fort was first built by the Kakatiyas as part of their western defenses along the lines of the Kondapalli Fort. The city and the fortress were built on a granite hill.

NATA Mock Test - 1 - Question 35

___________is the ancient science of construction / architecture.

Detailed Solution for NATA Mock Test - 1 - Question 35
Vastu shastra is a traditional Hindu system of architecture which literally translates to "science of architecture." These are texts found on the Indian subcontinent that describe principles of design, layout, measurements, ground preparation, space arrangement, and spatial geometry.Vastu Shastras incorporate traditional Hindu and in some cases Buddhist beliefs.

NATA Mock Test - 1 - Question 36

The problem figure in the box on the left has one identical figure from amongst A, B, C and D on the right. Find the figure

(A) a

(B) b

(C) c

(D) d

Detailed Solution for NATA Mock Test - 1 - Question 36

NATA Mock Test - 1 - Question 37

The famous Empire State building is in which of the following cities?

Detailed Solution for NATA Mock Test - 1 - Question 37
The Empire State Building is a skyscraper in New York City, United States. It is 381 meters (1,250 feet) tall and has 102 floors, and the height to its pinnacle is 1,454 feet.

NATA Mock Test - 1 - Question 38

If a sheet of paper is folded two/three times from the centre and cuts are made as shown, how will it appear when it is opened?

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NATA Mock Test - 1 - Question 39

The drawing represents a flat piece of sheet. The dotted lines show where the sheet has to be folded. Find the object that can be made by folding the sheet.

Detailed Solution for NATA Mock Test - 1 - Question 39

NATA Mock Test - 1 - Question 40

Arrange the objects given the question figure, according to the stated manner and choose the correct composite figure.

S between P & R, R on the ground, Q touching S only

Detailed Solution for NATA Mock Test - 1 - Question 40

NATA Mock Test - 1 - Question 41

The problem figure in the box on the left has one identical figure from amongst A, B, C and D on the right. Find the figure

Detailed Solution for NATA Mock Test - 1 - Question 41

NATA Mock Test - 1 - Question 42

Insert the missing number. 10, 5, 13, 10, 16, 20, 19, (....)

Detailed Solution for NATA Mock Test - 1 - Question 42

There are two series (10, 13, 16, 19) and (5, 10, 20, 40), one increasing by 3 and the other multiplied by 2.

NATA Mock Test - 1 - Question 43

Identify the building from the given image.

Detailed Solution for NATA Mock Test - 1 - Question 43

Fallingwater is a house designed by architect Frank Lloyd Wright in 1935 in rural southwestern Pennsylvania, 43 miles southeast of Pittsburgh

NATA Mock Test - 1 - Question 44

Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?

Detailed Solution for NATA Mock Test - 1 - Question 44

NATA Mock Test - 1 - Question 45

Every great architect necessarily - a great poet. He must be an original interpreter of his time, his day, his age. Was quoted by which famous architect ?

Detailed Solution for NATA Mock Test - 1 - Question 45
Frank Lloyd Wright (June 8, 1867 – April 9, 1959) was an American architect, interior designer, writer, and educator, who designed more than 1,000 structures, 532 of which were completed. Wright believed in designing structures that were in harmony with humanity and its environment, a philosophy he called organic architecture. This philosophy was best exemplified by Fallingwater (1935), which has been called "the best alltime work of American architecture".

NATA Mock Test - 1 - Question 46

Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?

Detailed Solution for NATA Mock Test - 1 - Question 46

NATA Mock Test - 1 - Question 47

Arrange the objects given the question figure, according to the stated manner and choose the correct composite figure.

R on the ground only, P touching S only, P between Q & R

Detailed Solution for NATA Mock Test - 1 - Question 47

NATA Mock Test - 1 - Question 48

Find the odd one out. 10, 25, 45, 54, 60, 75, 80

Detailed Solution for NATA Mock Test - 1 - Question 48
Each of the numbers except 54 is multiple of 5.

NATA Mock Test - 1 - Question 49

Arrange the objects given the question figure, according to the stated manner and choose the correct composite figure.

Q on the top, P touching Q, R between S and P.

Detailed Solution for NATA Mock Test - 1 - Question 49

NATA Mock Test - 1 - Question 50

Find the odd one out. 6, 9, 15, 21, 24, 28, 30

Detailed Solution for NATA Mock Test - 1 - Question 50

Each of the numbers except 28, is a multiple of 3

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