# MOSAIC BLOG

# NATA 2017 ANSWER KEY

Hello Friends,

The entrance exam for NATA 2017 was held on 16th April according to the new pattern. The official ANSWER KEY for NATA 2017 is out!

# NATA 2017 Drawing Test Answer Key by Mosaic

**Q1.** One late afternoon, you along with your family members were enjoying a boat ride along a river and viewed a spectacular sunset. You noticed that the boat was moving from south to north and all of you were facing north. Suddenly, your youngest brother shouted and told everybody to see the river bank on your right side. You saw a series of high-rise apartment building interspersed with trees. But, in the middle, there was a beatiful river ghat, a garden and a small white mosque adjacent to it. Lots of birds were flying around and sitting on its golden dome. In the concrete jungle, the small structure seemed to be a nice relief. Develop a coloured sketch (use dry colour) of what you experienced.

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Details**Hint & Explanations:**

Before attempting this question it is advisable, to draw a rough sketch from the information provided to us. This helps in providing a clear picture to us & prevents from making mistake in the final drawing.

It is important to note that, though the sunset is mentioned in the initial lines, it will not be apparantly visible, as the main emphasis is on the ghat & the monuments on the west ie. right hand side. The reflection of the sunset will be visible in the river waters & the mosque dome.

**Q2.** You are waiting in a railway platform for catching a local train. Some people are also waiting there with small and big luggage. Few people are sitting on wooden benches. There is a small food shop. You saw that the roof above is sloped. Standing at the entry point of the platform you noticed that the train is coming and has reached almost midway of the length of the platform. Draw a pencil sketch of what you experienced.

**NATA-2017: Answer Key to Part-A (Set - A)**

Mathematics (Q. 1 – 20) |
General Aptitude (Q. 21 – 60) |
||||

Question No | Answer Key | Question No | Answer Key | Question No | Answer Key |

1 | C | 21 | A | 41 | B |

2 | C | 22 | D | 42 | C |

3 | A | 23 | B | 43 | B |

4 | D | 24 | B | 44 | D |

5 | A | 25 | A | 45 | C |

6 | D | 26 | A | 46 | D |

7 | B | 27 | A | 47 | C |

8 | B | 28 | D | 48 | C |

9 | C | 29 | D | 49 | D |

10 | A | 30 | A | 50 | A |

11 | B | 31 | A | 51 | B |

12 | D | 32 | C | 52 | D |

13 | C | 33 | B | 53 | B |

14 | C | 34 | C | 54 | D |

15 | D | 35 | B | 55 | D |

16 | B | 36 | C | 56 | B |

17 | D | 37 | A | 57 | A |

18 | B | 38 | D | 58 | C |

19 | A | 39 | B | 59 | D |

20 | * | 40 | C | 60 | A |

* There was no correct answer provided in the booklet for Question No. 20 (Set-A). As decided by the competent authority of CoA, full marks is to be awarded for the said question to all candidates, irrespective of attempt for the same.

## NATA-2017: Answer Key to Part-A (Set - B)

Mathematics (Q. 1 – 20) | General Aptitude (Q. 21 – 60) |
||||

Question No | Answer Key | Question No | Answer Key | Question No | Answer Key |

1 | B | 21 | A | 41 | A |

2 | C | 22 | A | 42 | A |

3 | A | 23 | D | 43 | D |

4 | B | 24 | D | 44 | B |

5 | D | 25 | C | 45 | B |

6 | C | 26 | B | 46 | A |

7 | C | 27 | C | 47 | B |

8 | D | 28 | A | 48 | C |

9 | B | 29 | D | 49 | B |

10 | D | 30 | B | 50 | D |

11 | B | 31 | C | 51 | C |

12 | A | 32 | B | 52 | A |

13 | * | 33 | A | 53 | A |

14 | C | 34 | C | 54 | C |

15 | C | 35 | D | 55 | B |

16 | A | 36 | A | 56 | B |

17 | D | 37 | D | 57 | D |

18 | A | 38 | C | 58 | B |

19 | D | 39 | C | 59 | D |

20 | B | 40 | D | 60 | D |

* There was no correct answer provided in the booklet for Question No. 13 (Set-B). As decided by the competent authority of CoA, full marks is to be awarded for the said question to all candidates, irrespective of attempt for the same.

**NATA-2017: Answer Key to Part-A (Set - C)**

Mathematics (Q. 1 – 20) | General Aptitude (Q. 21 – 60) |
||||

Question No | Answer Key | Question No | Answer Key | Question No | Answer Key |

1 | * | 21 | C | 41 | D |

2 | A | 22 | B | 42 | D |

3 | B | 23 | C | 43 | A |

4 | D | 24 | A | 44 | A |

5 | B | 25 | D | 45 | D |

6 | D | 26 | B | 46 | D |

7 | B | 27 | C | 47 | B |

8 | D | 28 | D | 48 | A |

9 | A | 29 | C | 49 | C |

10 | D | 30 | C | 50 | D |

11 | A | 31 | D | 51 | A |

12 | C | 32 | A | 52 | A |

13 | C | 33 | B | 53 | D |

14 | C | 34 | C | 54 | B |

15 | C | 35 | B | 55 | B |

16 | D | 36 | D | 56 | A |

17 | B | 37 | C | 57 | A |

18 | A | 38 | B | 58 | A |

19 | C | 39 | D | 59 | C |

20 | B | 40 | B | 60 | B |

* There was no correct answer provided in the booklet for Question No. 1 (Set-C). As decided by the competent authority of CoA, full marks is to be awarded for the said question to all candidates, irrespective of attempt for the same.

**NATA-2017: Answer Key to Part-A (Set - D)**

Mathematics (Q. 1 – 20) | General Aptitude (Q. 21 – 60) |
||||

Question No | Answer Key | Question No | Answer Key | Question No | Answer Key |

1 | B | 21 | D | 41 | B |

2 | D | 22 | C | 42 | B |

3 | A | 23 | C | 43 | A |

4 | D | 24 | D | 44 | C |

5 | A | 25 | A | 45 | D |

6 | C | 26 | B | 46 | A |

7 | C | 27 | D | 47 | A |

8 | C | 28 | B | 48 | A |

9 | C | 29 | D | 49 | D |

10 | D | 30 | D | 50 | D |

11 | B | 31 | C | 51 | B |

12 | A | 32 | B | 52 | C |

13 | C | 33 | C | 53 | B |

14 | B | 34 | A | 54 | D |

15 | * | 35 | D | 55 | C |

16 | A | 36 | B | 56 | A |

17 | B | 37 | C | 57 | D |

18 | D | 38 | A | 58 | B |

19 | B | 39 | A | 59 | B |

20 | D | 40 | C | 60 | A |

* There was no correct answer provided in the booklet for Question No. 15 (Set-D). As decided by the competent authority of CoA, full marks is to be awarded for the said question to all candidates, irrespective of attempt for the same.

# ** NATA 2017 GENERAL APTITUDE TEST SOLVED QUESTIONS**

Q1. How many bricks of dimension 20 cm X 10 cm X 10 cm are required to build a wall 12 m long, 3m high and 30 cm wide, if 10% of the wall is comprised of mortar?

(A) 4860 (B) 5200

(C) 4600 (D) 5000

**Ans. ( A ) 4860**

EXPLANATION: To get the number of bricks used in the wall, we need

The volume of brick wall / Volume of a single brick

The given dimensions of brick are in cm ie. 20cm X 10cm X 10 cm

Volume of a brick = 20 X 10 X 10 = 2000

Lets convert the dimensions of the brick wall also in cm

Given dimensions for brick wall - 12 m X 3 m X 30 cm

Since, 1 metre = 100 cm

Therefore, brick wall dimensions in cm are 1200cm X 300cm X 30 cm

So, Volume of brick wall = 1200 X 300 X 30 = 10800000

Since 10% of wall is mortar, then 10% of 10800000 = 1080000

Lets deduct the percentage of mortar from the wall ie. 10800000 - 1080000 = 9720000

Now divide the volume of brick wall ( without mortar ) by volume of a single brick

9720000 / 2000 = 4860

So, we need 4860 bricks in total to build the wall of the given dimensions.

Q2. 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 )**

**EXPLANATION:**

The image provided below is a pictorial representation of the information given to us in the question ( Image X )

To find the shortest distance, AB

Join AC & BC ( Image Y )

Since, OD = 5 km, BC = 5 km

Since, DB = 5 km, OC = 5 km

Now, AB^{2} = AC^{2} + BC^{2} ( Pythageros Theorem)

ie. AB^{2} = 12^{2} + 5^{2}

AB^{2} = 144 + 25

AB^{2} = 169

AB = 13

**IMAGE X**

** IMAGE Y**

Q3. Green Architecture is promoted these days because

(A) it costs less initially

(B) it is environment friendly

(C) it lasts longer

(D) it uses good colours

**Ans. ( B )**

**EXPLANATION:**

Green Architecture is sustainable, energy efficient and environment friendly way of building.

Q4. The type of roof suitable in plains where rainfall is meagre and temperature is high is

(A) pitched and slope

(B) flat

(C) vault

(D) shell

**Ans. ( B )**

**EXPLANATION:**

Pitched & Sloping roofs are suitable for areas which recieve heavy rainfall and snow. Otherwise flat roofs suffice for plains with low rainfall & high temperature.

Q5. 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 )**

**EXPLANATION:**

LED's are power efficient, since they produce more light and less heat in comparison to incandescent & other conventional light bulbs.

**PART A - General Aptitude Test Question Paper**

**Q21.** A direction 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

**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 ∩ F^{c}

(D) (E ∪ F) – F = (E - F) ∪ (E ∩ F)

**Q23. **A set P has 20 elements. The number of subsets of P containing odd number of elements id

(A) 2^{18} + 20 (B) 2^{19}

(C) 2^{19} - 1 (D) 2^{20} – 128

**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

**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

**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

**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

**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 cm^{2} (B) 68 cm^{2}

(C) 64 cm^{2} (D) 56 cm^{2}

^{Q29.}

**Q30.** How many total number of triangles are there in the figure given below?

(A) 16 (B) 17

(C) 18 (D) 20

**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.

**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)

**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

**Q34.** World Environment Day is observed on :

(A) February 14 (B) May 01

(C) June 05 (D) August 06

**Q35.** Find the odd one from the figures below. Ignore the direction of arrow head.

**Q36.** Gypsum is a

(A) mechanically formed sedimentary rock

(B) igneous rock

(C) chemically precipitated sedimentary rock

(D) metamorphic rock

**Q37.** Which of the following is a scalar quantity?

(A) energy (B) momentum

(C) torque (D) impulse

**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

**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

**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

**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

**Q42.** Unscramble and find the odd one among the following

(A) NEMJIAS (B) ORES

(C) MANGO (D) SOULT

**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

**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

**Q45.** Given below are two statements followed by two conclusions, Assuming these statements to be true, decide which one logically follows.

Statements :

- All film stars are playback singers.
- All film directors are film stars.

Conclusions :

- All film directors are playback singers.
- 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

**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

**Q47.** A circle is inscribed within an equilateral triangle of area √3 sqm. The circumference of the circle is

**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

**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

**Q50.** Length of a solid diagonal of a cube is 6 cm. The volume of the cube is

(A) 24√3 cm^{2} (B) 8 cm^{3}

(C) 12√3 cm^{3} (D) 27 cm^{3}

**Q51.** How many surfaces are there in the model ? Consider all seen and unseen surfaces.

(A) 21 (B) 17

(C) 12 (D) 15

**Q52.** A horizontal supporting crosspies over an opening is called.

(A) Lattice (B) Leader

(C) Lancet (D) Lintel

**Q53.** A square is drawn on 1^{st} 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)

**Q54.** What secondary colour is obtained by mixing blue and Red colours?

(A) Pink (B) Brown

(C) Orange (D) Purple

**Q55.** What is Texture?

(A) Solid colour (B) Type of shape

(C) Lines drawn in colour (D) The way a surface looks and feels

**Q56.** Building acoustics concerns

(A) Water related issues (B) Sound related issues

(C) Ventilation related issues (D) Daylight related issues

**Q57.** Choose the appropriate shadow pattern of this cube (below) at 3:00 p.m in India.

**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

**Q59.** French influence in architecture is found at

(A) Kerala (B) Sikkim

(C) Goa (D) Puducherry

**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

Note : Nata 2017 official answer key available on www.nata.nic.in/

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