NATA 2017 ANSWER KEY GENERAL APTITUDE TEST

NATA 2017 Drawing Test Answer Key

PART  A - Mathematics Test



ANS. - C
2. The value of λ  for which the straight line (2x + 3y + 4) + λ(6x – y + 12) = 0 is parallel to y – axis is
(A)          1                                                              (B)          2             
(C)          3                                                              (D)          4
ANS. - C
3. The sum of the perpendicular distances from the origin to the planes 12x-3y+4z+26 = 0 and 2x-4y+4z+18 = 0 is
(A)          5                                                              (B)          44
(C)          25                                                            (D)          8

ANS. - A
ANS. - D
 
ANS. - A
6. Derivative of sin x with respect to cos x
(A)          tan x                                                      (B)          -tan x   
(C)          cot x                                                      (D)          -cot x

ANS. - D
7.  The point (a, 2), (0, b), (1, 1) are collinear. Then
(A)          ab = a+b+2                                           (B)          ab=a + b - 2        
(C)          ab = a + b                                              (D)          ab = a - b  

ANS. - B          

ANS. - B 
9.  The system of linear equation -2x+y+z = a, x-2y+z = b,  x+y-2z = c   have infinitely many solutions if
(A)          a = 0, b = 0, c = 0                               (B)          a + b = c               
(C)          a + b +c = 0                                         (D)          a + b – c = 0
ANS. - C 
10. The monthly rate of sales for the first 11 months of the year of a certain salesman was Rs. 12,000. But due to his illness during the last month, the average sales for the whole year came down to Rs. 11,375. The value of the sale during the last month was
(A)          Rs. 4,500                                              (B)          Rs. 6,000             
(C)          Rs. 10,000                                            (D)          Rs. 8,000
ANS. - A
 
ANS. - D
12. The area bounded by the curve y = x2 , y = 0, x = 1 is

ANS. - D

ANS. - C
14. if nC7 = nC4 , then the value of n is
(A)          14                                                           (B)          12
(C)          11                                                           (D)          10
ANS. - C


ANS. - D


ANS. - B
17. m men and w women are to be seated in a row so that all women sit together. The number of ways in which they can be seated is
(A)          m+wCw                                                                                             (B)          m!w!
(C)          m!(w-1)!                                                         (D)          (m + 1)!w!
ANS. - D


ANS. - B
19. A point moves so that the sum of the squares of its distances from the six faces of a cube give by x =±1 is units. The locus of the point is
(A)          x2 + y2 + z2 = 2                                     (B)          x2 + y2 + z2 = 1

(C)          x + y + z = 2                                          (D)          x + y + z = 1
ANS. - A
20.


ANS. - A


PART  A - General Aptitude Test

Q21. A directional post is erected on a crossing. Due to heavy storm it turned in such a way that the arrow which was first showing South is now showing East. A car went in a direction thinking it is West direction is the car actually moving?
(A)          North                                                    (B)          West
(C)          East                                                       (D)          South
ANS. - D
Q22. Let E and F be any two sets. Which of the following statements is NOT correct?
(A)          E – F = E – (E ∩ F)
(B)         (E ∪ F) – F = E - (E ∩ F)
(C)          E – (E ∩ F) =  E ∩ Fc
(D)          (E ∪ F) – F = (E - F) ∪  (E ∩ F)
ANS. - C
Q23. A set P has 20 elements. The number of subsets of P containing odd number of elements id
(A)          218 + 20                                                 (B)          219
(C)          219  - 1                                                    (D)          220 – 128
ANS. - B
Q24. Let P = {1, 3, 5, 7, 9} and R = {(1, 3), (3, 5), (1, 5), (9, 7), (7, 5), (9, 5)}, Then R
(A)          is not reflexive but symentric and transitive
(B)          is neither reflexive nor symmetric but transitive
(C)          is neither transitive nor symmetric but reflexive
(D)          is an equivalence relation
ANS. - B
Q25. Let P = {1, 2, 3}, Q = {2, 3, 4}. Then the number of elements in P x Q is
(A)          9                                                              (B)          7
(C)          6                                                              (D)          4
ANS. - A
Q26. In a project, the share of material and labour costing is 3 : 2. In the labour component, the electrician gets 5%. What is the total project cost if an electrician gets Rs 25,000/-?
(A)          Rs. 12.5 Lakh                                                      (B)          Rs. 25 Lakh
(C)          Rs. 125 Lakh                                                        (D)          Rs. 62.5 Lakh
ANS. - A
Q27. From a point O, two persons A and B started their journey on XY plane. A went 7 km along north and stopped. B went 5 km west and then 5 km south and stopped. What is the shortest distance between A and B?
(A)          13 km                                                                    (B)          7 km
(C)          12 km                                                                    (D)          3 km
ANS. - A
Q28. Three cubes of side 2 cm are glued surface to surface horizontally such that it produces a cuboid. What is the surface area of the cuboid?
(A)          72 cm2                                                                   (B)          68 cm2
(C)          64 cm2                                                                   (D)          56 cm2
ANS. - D

Q29.
ANS. - A
Q30. How many total number of triangles are there in the figure given below?
 
(A)          16                                                                           (B)          17
(C)          18                                                                           (D)          20
ANS. - A

Q31. The left most figure below show the top view of an object. Identify the correct elevation from amongst the answer figures, looking in the direction of arrow.
 
ANS. - A
Q32. Which one of the following consumes least amount of electricity?
(A)          Tungsten bulb
(B)          Fluorescent tube
(C)          Light Emitting Diodes (LED)
(D)          Compact Fluorescent lamp (CFL)
ANS. - C

Q33. Green Architecture is promoted these days because
(A)          it costs less initially
(B)          it is environment friendly
(C)          it last longer
(D)          it uses good colours
ANS. - B

Q34. World Environment Day is observed on :
(A)          February 14                                                         (B)          May 01
(C)          June 05                                                               (D)          August 06
ANS. - C

Q35. Find the odd one from  the figures below. Ignore the direction of arrow head.
 
ANS. - B
Q36. Gypsum is a
(A)          mechanically formed sedimentary rock
(B)          igneous rock
(C)          chemically precipitated sedimentary rock
(D)          metamorphic rock
ANS. - C
Q37. Which of the following is a scalar quantity?
(A)          energy                                                                  (B)          momentum
(C)          torque                                                                  (D)          impulse
ANS. - A

Q38. A heavy ladder resting in the floor and against a vertical wall may not be in equilibrium if
(A)          floor is smooth and wall is rough
(B)          floor is rough and wall is smooth
(C)          both floor and wall are rough
(D)          both floor and wall are smooth
ANS. - D
Q39. The type of roof suitable in plains where rainfall is meager and temperature is high is
(A)          pitched and slope                                            (B)          flat
(C)          vault                                                                   (D)          shell
ANS. - B
Q40. The angle which an inclined plane makes with the horizontal when a body placed on it is about to slide down is known as angle of
(A)          limiting friction                                                 (B)          inclination
(C)          repose                                                                  (D)         overturning
ANS. - B
Q41. Nurse Merry has worked more night shifts in a row than Nurse Sujata, who has worked five. Nurse Ruma has worked fifteen night shifts in a row, more than Nurses Merry and Sujata combined. Nurse Priti has worked eight night Shift in a row, less than Nurse Merry. How many night shifts in a row has Nurse Merry worked?
(A)          10                                                                            (B)          9
(C)          8                                                                              (D)          7
ANS. - B
Q42. Unscramble and find the odd one among the following
(A)          NEMJIAS                                                              (B)          ORES
(C)          MANGO                                                                 (D)          SOULT
ANS. - C

Q43. X is 1 km northeast of Y, Y is 1 km southest of Z, W is 1 km west of Z, P is 1 km south of W, Q is 1 km east of P, What is the distance between X and Q in km ?
(A)           √5                                                                         (B)           √3
(C)           √2                                                                         (D)          3
ANS. - C
Q44. In a group of four children, Som is younger to Riaz, Shiv is elder to Ansu, Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group?
Statements :      1.            Shiv is younger to Riaz
                         2.            Shive is elder to Som
(A)          Statements 1 and 2 are both required to determine the eldest child
(B)          Statement 2 by itself determines the eldest child
(C)          Statementd 1 and 2 are not sufficient to determine the eldest child
(D)          Statement 1 by itself determines the eldest child
ANS. - D
Q45. Given below are two statements followed by two conclusions, Assuming these statements to be true, decide which one logically follows.
Statements :
  1. All film stars are playback singers.
  2. All film directors are film stars.
Conclusions :
  1. All film directors are playback singers.
  2. Some film stars are film directores.
(A) Only conclusion I follows                                         
(B) Only conclusion II follows
(C) Only conclusion I and II follow                                
(D) Neither conclusion I nor II follows
ANS. - C
Q46. A truncated (horizontally cut in mid-way) hexagonal pyramid has following numbers of surfaces, edges and vertices respectively.
(A)          8, 16, 12                                                                (B)          6, 12, 10
(C)          6, 16, 10                                                                (D)          8, 18, 12
ANS. - D
Q47. A circle is inscribed within an equilateral triangle of area √3 sqm. The circumference of the circle is
 
ANS. - D
48. The linear scale of a map is 1 cm = 2 m. The drawing dimensions of an on-site rectangular plot measuring 25 m X 40 m will be
(A)          50 cm X 80 cm                                                    (B)          25 cm X 40cm
(C)          12.5 cm X 20 cm                                                 (D)          5 cm X 8 cm
ANS. - C
Q49. When a clock is seen through a mirror, the hour arm and minute arm are seen at 9 and 4 respectively, so that the time seen is 9 : 20 What will be the actual time after 15 minuts?.
(A)          2 : 35                                                                      (B)          3 : 35
(C)          3 : 55                                                                      (D)          2 : 55
ANS. - D
Q50. Length of a solid diagonal of a cube is 6 cm. The volume of the cube is
(A)          24√3 cm2                                                             (B)          8 cm3
(C)          12√3 cm3                                                             (D)          27 cm3
ANS. - A
Q51. How many surfaces are there in the model ? Consider all seen and unseen surfaces.
(A)          21                                                                           (B)          17
(C)          12                                                                           (D)          15
ANS. - B
Q52. A horizontal supporting crosspies over an opening is called.
(A)          Lattice                                                                   (B)          Leader
(C)          Lancet                                                                   (D)          Lintel
ANS. - D
Q53. A square is drawn on 1st quadrant of XY plane having consecutive coordinates (counter-clockwise, starting from left botton) as P(2, 3), Q(7, 3),  R(7, 8), S(2, 8) respectively. Thereafter, each side of the sqare is doubled considering P as a fixed point and the new square becomes PQ’R’S’ . Now this new square is mirrored with respect to X axis. What will be the coordinates for the images of R’?
(A)          (7, -8)                                                                    (B)          (12, -13)
(C)          (-12, -13)                                                               (D)          (-7, 8)
ANS. - A
Q54. What secondary colour is obtained by mixing blue and Red colours?
(A)          Pink                                                                       (B)          Brown
(C)          Orange                                                                  (D)          Purple
ANS. - D
Q55. What is Texture?
(A)          Solid colour                                 (B)    Type of shape
(C)          Lines drawn in colour               (D)    The way a surface looks and feels
ANS. - D
Q56. Building acoustics concerns
(A)          Water related issues                                                                
(B)          Sound related issues
(C)          Ventilation related issues                                                          
(D)          Daylight related issues
ANS. - D
Q57. Choose the appropriate shadow pattern of this cube (below) at 3:00 p.m in India.
 
ANS. - A
Q58. Fly ash is a waste product from which of the following:
(A)          Nuclear installation                                                                        
(B)          Coal mine
(C)          Thermal power plant                                                                     
(D)          Iron ore conversion
ANS. - B
Q59. French influence in architecture is found at
(A)          Kerala                                                                                                  
(B)          Sikkim
(C)          Goa                                                                                                       
(D)          Puducherry
ANS. - D

Q60. How many bricks of dimension 20 cm X 10 cm X 10 cm are required to build a wall 12 m long, 3 m high and 30 cm  wide, if 10% of the wall is comprised of mortar?
(A)          4860                                                                                                       (B)          5200
(C)          4600                                                                                                    
(D)          5000
ANS. - A


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