## NATA General Aptitude and Mathematics Preparation Test

Question 1 |

If f(x) = cos (log x), then f(x) f(y) – ½ [f(x/y) + f(xy)] =

–2 | |

None of these | |

–1 | |

1/2 |

Question 2 |

What is the product of the irrational roots of the equation (2x – 1)(2x – 3)(2x – 5) (2x – 7) = 9?

3 | |

3/4 | |

4 | |

3/2 |

Question 4 |

Taj Mahal is a typical example of:

Indo-Greek Architecture | |

Indo-British Architecture | |

Indo-Chinese Architecture | |

Indo-Persian Architecture |

Question 5 |

In buildings linoleum is used for:

flooring | |

roofing | |

walls | |

ceiling |

Question 6 |

Exterior walls of houses are generally painted with?

Collar | |

Cement paints | |

Distempers | |

Cellulax paints |

Question 7 |

The base of a right angled triangle is 9 cm. and its area is 81 sq. cm. What is the height of the right angled triangle ?

36 cm | |

27 cm | |

9 cm | |

None of these |

Question 8 |

Image point of (5, 4, 6) in the plane x + y + 2z – 15 = 0 is

(3, 2, 2) | |

(2, 3, 2) | |

(2, 2, 3) | |

(– 5, –4, –6) |

Question 9 |

If the points (0, 1, 2), (2, –1, 3) and (1, –3, 1) are the vertices of a triangle, then the triangle is

None of these | |

Equilateral | |

Isosceles right angled | |

Right angled |

Question 10 |

In which style Rashrapati Bhawan was designed?

Roman | |

Gothic | |

Classical | |

Neo-classical |

Question 12 |

2 | |

4 | |

3 | |

1 |

Question 13 |

Who was the architect of Shakti Sthal?

A. P. Kanvinde | |

Rajendra Bhan | |

Sumeet Nath | |

B. V. Doshi |

Question 14 |

What is Makarana?

Soil | |

Brick | |

Marble | |

Wood |

Question 15 |

The desirable depth of a wardrobe for hanging cloths:

0.6 m | |

0.3 m | |

0.9 m | |

0.4 m |

Question 16 |

Which was the first city to have an underground railway system?

Paris | |

London | |

New York | |

Washington |

Question 17 |

Height of parapet walls and hand rails on the edge of roof terraces, balconies should be at least

1.05 m | |

1.2 m | |

0.9 m | |

1.1 m |

Question 18 |

The equivalent function of log x

^{2}is2 log |x| | |

2 log x | |

|log x| | |

(log x) |

Question 19 |

If the transversal

*y = m*_{r}*x; r =*1, 2, 3 cut off equal intercepts on the transversal x + y = 1, then 1 + m_{1}, 1 + m_{2}, 1 + m_{3}are inNone of these | |

H. P. | |

G. P. | |

A. P. |

Question 20 |

From two statements, given below an inference has been drawn

- A triangle has three angles
- A square has four angles

The inference is irrelevant | |

The inference drawn is either probably true or probably false | |

The inference drawn is true | |

The inference drawn is false |

Question 21 |

x = log

_{10}160 (given log_{10}2 = 0.3010). Find the value of x.2.5 | |

2.2 | |

2.1 | |

2.4 |

Question 22 |

If sin(cot

^{–1}(x + 1)) = cos (tan^{–1}x), then*x*=0 | |

9/7 | |

½ | |

– ½ |

Question 23 |

a and b are two numbers selected randomly from 1,2,3.... 25 what is the probability of a and b are not equal.

**Related:** Maharashtra Architecture Colleges

1/25 | |

13/25 | |

2/25 | |

24/25 |

Question 24 |

If the ratio of the present age of 'Anurag' and' Bavesh' is 5 :4 and the ratio of their age 16 years back was 27 : 20, what is the present age of 'Bhavesh'?

**Related:** NATA Drawing Practice Paper

48 years | |

54 years | |

56 years | |

50 years |

Question 25 |

Minimum height of a air conditioned room should be:

2.4 m | |

2.0 m | |

2.2 m | |

2.7 m |

Question 26 |

1 | |

4 | |

2 | |

3 |

Question 27 |

If the sum of the roots of the equation ax2 + bx + c=0 is equal to the sum of the squares of their reciprocals then a/c, b/a, c/b are in

**Related:** Architectural Terms & Definitions

AP | |

HP | |

None of these | |

GP |

Question 28 |

Where did the Aryans first settle?

Ganga Valley | |

Himalaya | |

Narmada Valley | |

Indus Valley |

Question 29 |

Who designed Sydney Opera House?

Jon Utzon | |

F. L. Wright | |

Walter Gropius | |

Eiro Saarinen |

Question 30 |

The Writes building is in:

Chennai | |

Mumbai | |

Kolkata | |

New Delhi |

Question 31 |

The common material used for water supply:

Steel | |

Copper | |

RCC | |

Cast iron |

Question 32 |

If the chances that Sonu, Monu, Mahesh can solve a 111 problem are ¼, 1/3, ½ what is the probability that given problem can be solved if they all try?

6/7 | |

11/12 | |

8/9 | |

3/4 |

Question 33 |

Every year Architect of the Year Award is given by:

TATA Group | |

Government of India | |

RIL | |

JK Group |

Question 34 |

The earlier name of Bangkok was:

Krung Thep | |

Bangthep | |

Thonburi | |

Ayutthaya |

Question 35 |

What is the missing number?

3 | 4 | 5 |

3 | 7 | 12 |

3 | ? | 22 |

10 | |

8 | |

11 | |

9 |

Question 36 |

If the centroid of triangle whose vertices are (

*a*,1, 3), (– 2,*b*, –5) and (4, 7,*c*) be the origin, then the values of*a*,*b*,*c*are**Related:** Maharashtra Architecture Colleges

–2, –8, 2 | |

– 2, –8, –2 | |

7, –1, 0 | |

2, 8, –2 |

Question 37 |

If the line 2x + 3y = 5 and y = mx + c be parallel, then

m = – 2/3, c = any real number | |

m = – 2/3, c = 5 | |

None of these | |

m = 2/3, c = 5 |

Question 38 |

Two circles of different radii intersects each other what is the maximum no of intersections

1 | |

2 | |

0 | |

3 |

Question 39 |

The size of kitchen with separate dining area should be at least:

8.0 m square | |

5.0 m square | |

10.0 m square | |

6.0 m square |

Question 40 |

The function f(x) = p[x + 1] + q [x – 1] where [x] is the greatest integer function is continuous at x = 1, if

p – q = 0 | |

q = 0 | |

p + q = 0 | |

p = 0 |

Question 41 |

4, 5, 18, 81, ? 2065. What should come in place of (?)

350 | |

1032 | |

388 | |

365 |

Question 42 |

The sum of an infinite geometric series is 3. A series, which is formed by squares of its terms, have the sum also 3. First series will be

1/2, 1/4, 1/8, 1/16, … | |

3/2, 3/4, 3/8, 3/16, … | |

1, –1/3, 1/3, 2/3, … | |

1/3, 1/9, 1/27, 1/81, … |

Question 43 |

If ‘CENTRE’ can be written as ‘CNRCNR’ how ‘HAPPY’ can be written in that code

AHPYA | |

HPYAP | |

YHPYA | |

HPYHP |

Question 44 |

In an examination, a candidate can provide answers as True or False. For ten questions, how many sequences are possible?

1024 | |

100 | |

512 | |

2048 |

Question 45 |

If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways

480 | |

None of these | |

120 | |

240 |

Question 46 |

Which is the smallest fraction among the following?

9/13 | |

7/9 | |

4/5 | |

6/7 |

Question 47 |

The solution set of the equation sin

^{–1}x = 2 tan^{–1}x is{1, 2} | |

{–1,1, 0} | |

{1, 1/2, 0} | |

{–1, 2} |

Question 48 |

The architect of Empire State building, New York is:

Hilmut John | |

Henry Cobb | |

Shreve, Lamb, Harman | |

Mies Vander Rahe |

Question 49 |

Which bricks are normally used for construction?

over burnt bricks | |

first class bricks | |

Sun dried bricks | |

perforated bricks |

Question 50 |

Usually Door and windows are made of:

Chir | |

Halder | |

Teak | |

Kail |

Question 51 |

Surkhi is made of

well burnt bricks | |

lime stone | |

kankar | |

sand stone |

Question 52 |

Tot lots are:

all of these | |

Small play areas | |

Small open spaces | |

Small gardens |

There are 52 questions to complete.

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