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NATA Mock Test - 1 - JEE MCQ


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30 Questions MCQ Test - NATA Mock Test - 1

NATA Mock Test - 1 for JEE 2024 is part of JEE preparation. The NATA Mock Test - 1 questions and answers have been prepared according to the JEE exam syllabus.The NATA Mock Test - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NATA Mock Test - 1 below.
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NATA Mock Test - 1 - Question 1
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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
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For acute angle θ, find value of sec2θ−tan2θ

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NATA Mock Test - 1 - Question 3
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The oxidation states of S-atoms in Marshall’s acid and Caro’s acids are respectively

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

O state of S = +6

NATA Mock Test - 1 - Question 4
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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
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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
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NATA Mock Test - 1 - Question 6
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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
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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
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NATA Mock Test - 1 - Question 8
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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:
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NATA Mock Test - 1 - Question 9
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The negation of A →(A v ∼ B) is
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NATA Mock Test - 1 - Question 10
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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
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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

Adding equation (1) and (2)

Substituting the value of a from equation (3)

NATA Mock Test - 1 - Question 12
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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
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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
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NATA Mock Test - 1 - Question 14
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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
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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
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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
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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.
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NATA Mock Test - 1 - Question 18
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Find the mirror image
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NATA Mock Test - 1 - Question 19
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Which one of the answer figures, shows the correct view of the 3-D problem figure, after the problem figure opened up.
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NATA Mock Test - 1 - Question 20
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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
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_____________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
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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
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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
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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
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_______________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
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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
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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
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Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?
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NATA Mock Test - 1 - Question 29
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______________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
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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

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