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NATA - 2019
(Answer key for Test held on 7-Jul-2019)
Q1: Given an A.P. whose terms are all positive integers. The sum of its first nine terms is greater than 200 and less than 220. If the second term in it is 12, then its 4th term is :
A 20
B 16
C 8
D 24
Q2: The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height
A 3:7
B 7:3
C 6:7
D 7:6
Q3: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
A 720
B 900
C 1200
D 1800
Q4: If a sphere has a radius of 4.5 cm what would its total surface area come to?
A 350.15
B 246
C 254.47
D 128.06
Q5: Area and perimeter of a rectangular field are 2000 sq.m. and 180 m respectively. What is the length and breadth?
A l = 12, b = 40
B l = 20, b = 15
C l = 25, b = 30
D l = 50, b = 40
Q6: The difference of two positive integers is 3 and the sum of their squares is 117. What are the numbers?
A 2,0
B 2/3,1
C 1,-2
D 6,9
Q7:
If then the value of x is:
A
B
C
D
Q8:
If Then =?
A
B
C
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D
Q9:
If find the value of a.
A 3
B 2
C 4
D 8
Q10:
If ,x=?
A 11
B 8
C 12
D 64
Q11: You have a 9 x 9 x 9 cm box. How many cubes of side 5 cm will you be able to fit inside it?
A 2
B 1
C None
D 5
Q12:
If is equal to:
A
B
C
D
Q13:
A positive
B negative
C zero
D lies between 1 and 180
Q14: Area bounded by y=x3, y=8 and x=0 is
A 2 sq. units
B 14 sq. units
C 12 sq. units
D 6 sq. units
Q15: The average age of 20 students in a class is 15 years. If the teacher’s age is including, the average increases by 1. What is the teacher’s age?
A 30 years
B 21 years
C 42 years
D 36 years
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Q16: The number of straight lines that can be formed by joining 20 points of which 4 points are collinear is
A 183
B 186
C 185
D 190
Q17: A determinant is chosen at random from the set of order 2 with elements 0 or 1 only. The probability that the determinant chosen non zero is
A 3/8
B 3/16
C 1/4
D 1/8
Q18: The probability that a leap year will have 53 Fridays or 53 Saturday is
A 2/7
B 3/7
C 4/7
D 1/7
Q19: A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 sec, yellow for 5 sec and red for 30 sec. At a randomly chosen time, the
probability that the light will not be green is
A 1/3
B 1/4
C 1/12
D 7/12
Q20: Let the following system of equations
kx + y + z =1
x + ky + z = k
x + y + kz=k2
Has no solution. Find
A 0
B 1
C 2
D 3
Q21: A supporting element on a curved opening is called as
A Lintel
B Arch
C Lancet
D Awning
Q22: Tanagrams are a set of puzzle originated in which country
A Turkey
B China
C India
D Tanzania
Q23:
Identify the answer figure
A
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B
C
D
Q24: ‘RERA’ refers to Regulatory Authority in
A Architecture Education
B Road Construction
C Real Estate
D Regional Environment and Rivers
Q25: Following is a quarter part of a famous logo, identify the correct option to complete the logo
A
B
C
D
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Q26: Flipped along their horizontal axis , how many of them would look the same
A 3
B 6
C 8
D 4
Q27: Shown on the left is a composition of squares of different sizes, how many time the square of the right is repeated in the composition.
A 8
B 3
C 6
D 10
Q28: In Coastal region which material should be used for making truss
A Mild Steel
B Glass
C Aluminum
D Cast Iron
Q29: Vertical elements in building are
A Column, Lintel, Wall
B Lintel, Beam, Arch.
C Column , Pier, Post
D Floor, Column, Arch
Q30: A square of 3 cm. side was cut from a rectangle of 6cm x 5cm as shown in the figure, what is the area of the shaded portion.
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A 30
B 2.25
C 5.25
D 21
Q31: In a row of boys, If A who is 10th from the left and B who is 9th from the right interchange their positions, A becomes 15th from the left. How many boys are there in the row ?
A 23
B 31
C 27
D 28
Q32: Which of the given alternatives shows the top view of the given 3-D figure?
A
B
C
D
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Q33: Which of the following 3D objects, when cut to make a net, will look like the given figure?
A Cuboid
B Prism
C Cone
D Pyramid
Q34: The Petronas Twin Towers are located in
A China
B Malaysia
C South Africa
D U. S. A.
Q35: Guggenheim museum in Newyork is designed by
A Louis Khan
B Frank Llyod Wright
C B.V. Doshi
D Frank Gerry
Q36: Which of the following shapes will you get on slicing a rectangular pyramid horizontally parallel to its base?
A Rectangle
B Triangle
C Hexagon
D Square
Q37: What is the area of the base of the given figure(cuboid), where the distance between 2 dots is 1 unit?
A 5 unit2
B 10 unit2
C 9 unit2
D 12 unit2
Q38: If the form shown below were to be unfolded what would it look like?
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A
B
C
D
Q39: What is the decimal equivalent of binary number 110011?
A 20
B 51
C 22
D 23
Q40: Which tributary of the Ganges is also known as the ‘Kalindi’?
A Bhagirathi
B Yamuna
C Alaknanda
D Ravi
Q41: Mandovi’ and ‘Zuari’ are two major rivers in which state?
A Goa
B Orissa
C Kerala
D Andhra Pradesh
Q42: If you have to build on the seashore in Chennai, which rooms would have the best view of the sea?
A Those facing north
B Those facing south
C Those facing east
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D Those facing west
Q43: Which of the following is associated with perspective?
A Representing 3D objects on a 2D surface
B Abstract art
C Process of designing interactive products
D The art of arranging type
Q44: Which of the following term best describes a facade?
A A hemispherical part of a roof
B The support of a column
C Extension of a building
D The buildings face/front
Q45: Which of the following structures does NOT have a dome?
A Hagia Sophia, Istanbul, Turkey
B The Taj Mahal, Agra, India
C The White House, Washington, D.C
D St. Paul's Cathedral , London
Q46: Identify the below structure that blends modern architecture and Indian tradition.
A Indian Institute of Management, Bangalore
B Indian Institute of Management, Indore
C Indian Institute of Management, Jaipur
D Indian Institute of Management, Ahmadabad
Q47: How many circles appears in the below picture?
A 6
B 7
C 1
D 10
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Q48: The problem figure shows a 3 dimensional view of an object. Identify the correct 2 dimensional top view from among the answers based on the direction of the arrow
A
B
C
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D
Q49: Which hexagon below should replace the question mark?
A
B
C
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D
Q50: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A 588 apples
B 600 apples
C 672 apples
D 700 apples
Q51: If South-East becomes North, North-East becomes West and so on. What will West become?
A North-East
B North-West
C South-East
D South-West
Q52: It has been established that ____________________
P : Einstein was
Q : although a great scientist
R : weak in arithmetic
S : right from his school days
The Proper sequence should be:
A SRPQ
B QPRS
C QPSR
D RQPS
Q53: Arrange the words given below in a meaningful sequence.
1–Wall 2- Clay 3-House 4-Room 5-Bricks
A 5, 2, 1, 4, 3
B 2, 5, 4, 1, 3
C 2, 5, 1, 4, 3
D 1, 2, 3, 4, 5
Q54: GRIHA is associated with
A Historic and heritage conservation.
B Green building rating.
C Seismic activity monitoring.
D National building codes.
Q55: Identify the correct FRONT view for the given 3D object.
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A
B
C
D
Q56: Sill level refers to a
A window
B Roof
C Door
D Pipe
Q57: The word sciography is associated with which of the following
A Wind
B Shadow
C Water
D Heat
Q58: For the multi-view projection given below, select the correct corresponding isometric view in the row.
A
B
C
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D
Q59: A Stupa is associated with
A Mughal architecture
B Greek architecture
C Gothic architecture
D Buddhist architecture
Q60: Lets say you have three identical cubes which you then join together so that each cube is covering atleast one face of another cube. How many faces of the three cubes are
visible now?
A 12
B 14
C 18
D 15
Q61: 1. Draw a visually appealing composition using 3 squares, 2 rectangles, 1 triangle and 1 circle. Colour it using three colours in a medium of your choice. The Composition
should denote one of the following:
a. Swatchh Bharat, b. Global Peace, c. Harmony
(Write the theme title below your sketch)
Q62: Recollecting the most memorable holiday with your family draw any scene outdoors showing at least one member of your family. Your drawing should suggest to the viewer
your location- for example showing a part of a well-known landmark/ building or through natural location/ trees etc.