Aptitude & Reasoning

# NATA Question Papers with Answers ## 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)] =
 A –2 B None of these C –1 D 1/2
 Question 2
What is the product of the irrational roots of the equation (2x – 1)(2x – 3)(2x – 5) (2x – 7) = 9?
 A 3 B 3/4 C 4 D 3/2
 Question 3
Which marble is hottest under the Sun?

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 A Green B White C Red D Black
 Question 4
Taj Mahal is a typical example of:
 A Indo-Greek Architecture B Indo-British Architecture C Indo-Chinese Architecture D Indo-Persian Architecture
 Question 5
In buildings linoleum is used for:
 A flooring B roofing C walls D ceiling
 Question 6
Exterior walls of houses are generally painted with?
 A Collar B Cement paints C Distempers D 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 ?
 A 36 cm B 27 cm C 9 cm D None of these
 Question 8
Image point of (5, 4, 6) in the plane x + y + 2z – 15 = 0 is
 A (3, 2, 2) B (2, 3, 2) C (2, 2, 3) D (– 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
 A None of these B Equilateral C Isosceles right angled D Right angled
 Question 10
In which style Rashrapati Bhawan was designed?
 A Roman B Gothic C Classical D Neo-classical
 Question 11
 A 3 B 4 C 2 D 1
 Question 13
Who was the architect of Shakti Sthal?
 A A. P. Kanvinde B Rajendra Bhan C Sumeet Nath D B. V. Doshi
 Question 14
What is Makarana?
 A Soil B Brick C Marble D Wood
 Question 15
The desirable depth of a wardrobe for hanging cloths:
 A 0.6 m B 0.3 m C 0.9 m D 0.4 m
 Question 16
Which was the first city to have an underground railway system?
 A Paris B London C New York D Washington
 Question 17
Height of parapet walls and hand rails on the edge of roof terraces, balconies should be at least
 A 1.05 m B 1.2 m C 0.9 m D 1.1 m
 Question 18
The equivalent function of log x2 is
 A 2 log |x| B 2 log x C |log x| D (log x)
 Question 19
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 None of these B H. P. C G. P. D A. P.
 Question 20
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 is irrelevant B The inference drawn is either probably true or probably false C The inference drawn is true D The inference drawn is false
 Question 21
x = log10 160 (given log10 2 = 0.3010). Find the value of x.
 A 2.5 B 2.2 C 2.1 D 2.4
 Question 22
If sin(cot–1 (x + 1)) = cos (tan–1 x), then x =
 A 0 B 9/7 C ½ D – 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.
 A 1/25 B 13/25 C 2/25 D 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'?

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 A 48 years B 54 years C 56 years D 50 years
 Question 25
Minimum height of a air conditioned room should be:
 A 2.4 m B 2.0 m C 2.2 m D 2.7 m
 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
 A AP B HP C None of these D GP
 Question 28
Where did the Aryans first settle?
 A Ganga Valley B Himalaya C Narmada Valley D Indus Valley
 Question 29
Who designed Sydney Opera House?
 A Jon Utzon B F. L. Wright C Walter Gropius D Eiro Saarinen
 Question 30
The Writes building is in:
 A Chennai B Mumbai C Kolkata D New Delhi
 Question 31
The common material used for water supply:
 A Steel B Copper C RCC D 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?
 A 6/7 B 11/12 C 8/9 D 3/4
 Question 33
Every year Architect of the Year Award is given by:
 A TATA Group B Government of India C RIL D JK Group
 Question 34
The earlier name of Bangkok was:
 A Krung Thep B Bangthep C Thonburi D Ayutthaya
 Question 35
What is the missing number?
 3 4 5 3 7 12 3 ? 22
 A 10 B 8 C 11 D 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
 A –2, –8, 2 B – 2, –8, –2 C 7, –1, 0 D 2, 8, –2
 Question 37
If the line 2x + 3y = 5 and y = mx + c be parallel, then
 A m = – 2/3, c = any real number B m = – 2/3, c = 5 C None of these D m = 2/3, c = 5
 Question 38
Two circles of different radii intersects each other what is the maximum no of intersections
 A 1 B 2 C 0 D 3
 Question 39
The size of kitchen with separate dining area should be at least:
 A 8.0 m square B 5.0 m square C 10.0 m square D 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
 A p – q = 0 B q = 0 C p + q = 0 D p = 0
 Question 41
4, 5, 18, 81, ?  2065. What should come in place of (?)
 A 350 B 1032 C 388 D 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
 A 1/2, 1/4, 1/8, 1/16, … B 3/2, 3/4, 3/8, 3/16, … C 1, –1/3, 1/3, 2/3, … D 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
 A AHPYA B HPYAP C YHPYA D HPYHP
 Question 44
In an examination, a candidate can provide answers as True or False. For ten questions, how many sequences are possible?
 A 1024 B 100 C 512 D 2048
 Question 45
If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways
 A 480 B None of these C 120 D 240
 Question 46
Which is the smallest fraction among the following?
 A 9/13 B 7/9 C 4/5 D 6/7
 Question 47
The solution set of the equation sin–1 x = 2 tan–1 x is
 A {1, 2} B {–1,1, 0} C {1, 1/2, 0} D {–1, 2}
 Question 48
The architect of Empire State building, New York is:
 A Hilmut John B Henry Cobb C Shreve, Lamb, Harman D Mies Vander Rahe
 Question 49
Which bricks are normally used for construction?
 A over burnt bricks B first class bricks C Sun dried bricks D perforated bricks
 Question 50
Usually Door and windows are made of:
 A Chir B Halder C Teak D Kail
 Question 51 