Aptitude & Reasoning NATA General Aptitude and Mathematics Preparation Test

 Question 1
The equivalent function of log x2 is
 A 2 log |x| B (log x) C |log x| D 2 log x
 Question 2
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
 A 1, –1/3, 1/3, 2/3, … B 1/3, 1/9, 1/27, 1/81, … C 3/2, 3/4, 3/8, 3/16, … D 1/2, 1/4, 1/8, 1/16, …
 Question 3
x = log10 160 (given log10 2 = 0.3010). Find the value of x.
 A 2.1 B 2.4 C 2.2 D 2.5
 Question 4
In an examination, a candidate can provide answers as True or False. For ten questions, how many sequences are possible?
 A 100 B 1024 C 512 D 2048
 Question 5
a and b are two numbers selected randomly from 1,2,3.... 25 what is the probability of a and b are not equal.
 A 13/25 B 24/25 C 2/25 D 1/25
 Question 6
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
 A –2, –8, 2 B – 2, –8, –2 C 7, –1, 0 D 2, 8, –2
 Question 7
If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways
 A 120 B 480 C 240 D None of these
 Question 8
The earlier name of Bangkok was:
 A Bangthep B Ayutthaya C Thonburi D Krung Thep
 Question 9
Who was the architect of Shakti Sthal?
 A B. V. Doshi B Sumeet Nath C A. P. Kanvinde D Rajendra Bhan
 Question 10
Two circles of different radii intersects each other what is the maximum no of intersections
 A 1 B 2 C 3 D 0
 Question 11
Tot lots are:
 A Small play areas B Small open spaces C Small gardens D all of these
 Question 12
Select a suitable figure from the Answer Figures that would replace the question mark (?) A 4 B 3 C 2 D 1
 Question 13
Where did the Aryans first settle?
 A Ganga Valley B Himalaya C Narmada Valley D Indus Valley
 Question 14
If the line 2x + 3y = 5 and y = mx + c be parallel, then
 A m = 2/3, c = 5 B m = – 2/3, c = 5 C m = – 2/3, c = any real number D None of these
 Question 15
Taj Mahal is a typical example of:
 A Indo-Persian Architecture B Indo-British Architecture C Indo-Greek Architecture D Indo-Chinese Architecture
 Question 16
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?
 A 3/4 B 6/7 C 8/9 D 11/12
 Question 17
Which is the smallest fraction among the following?
 A 6/7 B 9/13 C 4/5 D 7/9
 Question 18
Usually Door and windows are made of:
 A Teak B Kail C Chir D Halder
 Question 19
Who designed Sydney Opera House?
 A Eiro Saarinen B F. L. Wright C Walter Gropius D Jon Utzon
 Question 20
Every year Architect of the Year Award is given by:
 A JK Group B RIL C Government of India D TATA Group
 Question 21
 A 3 B 4 C 1 D 2
 Question 22
The size of kitchen with separate dining area should be at least:
 A 6.0 m square B 8.0 m square C 5.0 m square D 10.0 m square
 Question 23
In buildings linoleum is used for:
 A flooring B roofing C walls D ceiling
 Question 24
Exterior walls of houses are generally painted with?
 A Distempers B Collar C Cellulax paints D Cement paints
 Question 25
Select the figure which satisfies the same conditions of placement of the dots as in Figure-X. A 3 B 4 C 1 D 2
 Question 26
In which style Rashrapati Bhawan was designed?
 A Neo-classical B Classical C Gothic D Roman
 Question 27
Minimum height of a air conditioned room should be:
 A 2.7 m B 2.4 m C 2.2 m D 2.0 m
 Question 28
If f(x) = cos (log x), then f(x) f(y) – ½ [f(x/y) + f(xy)] =
 A 1/2 B –1 C None of these D –2
 Question 29
Height of parapet walls and hand rails on the edge of roof terraces, balconies should be at least
 A 1.2 m B 1.1 m C 0.9 m D 1.05 m
 Question 30
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 ?
 A None of these B 36 cm C 9 cm D 27 cm
 Question 31
The function f(x) = p[x + 1] + q [x – 1] where [x] is the greatest integer function is continuous at x = 1, if
 A p – q = 0 B p = 0 C q = 0 D p + q = 0
 Question 32
The common material used for water supply:
 A Copper B Cast iron C Steel D RCC
 Question 33
If sin(cot–1 (x + 1)) = cos (tan–1 x), then x =
 A 9/7 B ½ C – ½ D 0
 Question 34
If the points (0, 1, 2), (2, –1, 3) and (1, –3, 1) are the vertices of a triangle, then the triangle is
 A Isosceles right angled B None of these C Right angled D Equilateral
 Question 35
Which was the first city to have an underground railway system?
 A Paris B London C New York D Washington
 Question 36
If ‘CENTRE’ can be written as ‘CNRCNR’ how ‘HAPPY’ can be written in that code
 A HPYAP B HPYHP C YHPYA D AHPYA
 Question 37
Which marble is hottest under the Sun?

Related: Clock and Calendar Quiz

 A White B Black C Green D Red
 Question 38
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
 A GP B None of these C HP D AP
 Question 39
What is the missing number?
 3 4 5 3 7 12 3 ? 22
 A 8 B 10 C 11 D 9
 Question 40
 A lime stone B kankar C sand stone D well burnt bricks
 Question 41
The Writes building is in:
 A New Delhi B Chennai C Mumbai D Kolkata
 Question 42
What is Makarana?
 A Soil B Brick C Wood D Marble
 Question 43
Which bricks are normally used for construction?
 A Sun dried bricks B first class bricks C over burnt bricks D perforated bricks
 Question 44
If the transversal y = mr x; r = 1, 2, 3 cut off equal intercepts on the transversal x + y = 1, then 1 + m1, 1 + m2, 1 + m3 are in
 A G. P. B H. P. C None of these D A. P.
 Question 45
The architect of Empire State building, New York is:
 A Henry Cobb B Shreve, Lamb, Harman C Mies Vander Rahe D Hilmut John
 Question 46
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

 A 50 years B 56 years C 48 years D 54 years
 Question 47
What is the product of the irrational roots of the equation (2x – 1)(2x – 3)(2x – 5) (2x – 7) = 9?
 A 3 B 4 C 3/4 D 3/2
 Question 48
From two statements, given below an inference has been drawn
1. A triangle has three angles
2. A square has four angles
Which one option holds good for the interference
 A The inference drawn is true B The inference is irrelevant C The inference drawn is either probably true or probably false D The inference drawn is false
 Question 49
The solution set of the equation sin–1 x = 2 tan–1 x is
 A {–1, 2} B {1, 2} C {1, 1/2, 0} D {–1,1, 0}
 Question 50
Image point of (5, 4, 6) in the plane x + y + 2z – 15 = 0 is
 A (2, 2, 3) B (– 5, –4, –6) C (3, 2, 2) D (2, 3, 2)
 Question 51
4, 5, 18, 81, ?  2065. What should come in place of (?)
 A 388 B 350 C 365 D 1032
 Question 52
The desirable depth of a wardrobe for hanging cloths:
 A 0.3 m B 0.4 m C 0.6 m D 0.9 m
There are 52 questions to complete.