Quantitative Aptitude | Reasoning, Data Interpretation | Questions and answers in Free PDF Download

Quantitative Aptitude - Arithmetic - Numerical Ability

(Questions and Answers Type) 

For all Competitive Examinations (fully solved) As per New Examination Pattern

1.Simplification, 2.HCF & LCM, 3.Average, 4.Percentage, 5.Ratio & Proportion, 6.Pr0fit & Loss, 7.Time & Distance, 8.Time & Work, 9.Compound Interest, 10.Simple Interest,

11.Area of Plane Figures, 12.Number Series, 13.Volume, 14.Approximation, 15. Permutation & Combination, 16.Probability and Quadratic 17.Equations & Inequations, 18. Alligation on Mixture, 19. Area & Perimeter, 20. Volume and Surface Areas.

Simple Arithmetic Computations - Download
Average - Download
Ratio and Proportion - Download
Time and Distance - Download
Time and Work - Download
Partnership - Download
Percentage - Download
Finding Wrong Numbers - Download

Quantitative Aptitude Questions & Answers (with explanations) - Model Practice Test 1 |Test 2 | Test 3

Aptitude Questions and Answers 

Arithmetical Reasoning - Inserting the Missing Character

Questions and Answers with Explanations  1- Download
Questions and Answers with Explanations  2 - Download

Aptitude Test - Arithmetic - Numerical Ability 1000 Questions and Answers with Explanations

Questions 1 to 149 - Download
Questions 150 to 302 - Download
Questions 303 to 457 - Download
Questions 458 to 614 - Download
Questions 615 to 752 - Download
Questions 753 to 894 - Download
Questions 895 to 1000 - Download

Answers 1 to 1000 - Download

Explanatory Answers 1 to 156 - Download
Explanatory Answers 157 to 350 - Download
Explanatory Answers 351 to 563 - Download
Explanatory Answers 563 to 700 - Download
Explanatory Answers 701 to 859 - Download
Explanatory Answers 860 to 1000 - Download

Aptitude Questions and Answers - Arithmetic - Numerical Ability 200 Questions -Download

Answers with Explanations - Download

REASONING QUESTIONS - VERBAL, ANALYTICAL, NON VERBAL REASONING TEST 

Verbal Reasoning: Alphabet, Series, Analogy, Classification, Coding-Decoding, Blood Relationship, Symbols and Notations, Distance and Directions, Schedule Day / Time / Date, Ranking / Arrangement, Password, Syllogism and Data Sufficiency

Non Verbal Reasoning: Directions, Movement & Deviation and Revolution, Rotation, Mirror Image, Series, Classification, Analogy and Finding the Missing Figure - Download

Verbal Reasoning

650 Verbal Reasoning Questions and Answers with Explanations
Questions 1 to 182 - Download
Questions 183 to 374 - Download
Questions 375 to 547 - Download
Questions 548 to 685 - Download
Answers with Explanations - Download

For your Practice
Reasoning Ability Model Questions and Answers 1 - Download
Reasoning Ability Model Questions and Answers 2 - Download
Reasoning Ability Model Questions and Answers 3 - Download

Analytical Reasoning

Analytical Reasoning Questions - Part 1 | Part 2 | Part 3
Answers with Explanations - Part 1 | Part 2 | Part 3

 

Non Verbal Reasoning

Test of Non Verbal Reasoning Questions Type 1 - Part 1 | Part 2 | Part 3
Answers with Explanations - Part 1 | Part 2
Test of Non Verbal Reasoning Questions Type 2 - Questions | Answers with Explanations
Test of Non Verbal Reasoning Questions Type 3 - Questions | Answers with Explanations

Logical Reasoning 

Type 1 Method Questions and Answers with Explanations - Download
Type 2 Method Questions and Answers with Explanations - Download
Type 3 Method Questions and Answers with Explanations - Download
Type 4 Method Questions and Answers with Explanations - Download
Type 5 Method Questions and Answers with Explanations - Download
Type 6 Method Questions and Answers with Explanations - Download
Type 7 Method Questions and Answers with Explanations - Download
230 Logical Reasoning Questions - Download | Answers with Explanations - Download

Logical Reasoning Model Questions and Answers
Practice Paper 1 - Download
Practice Paper 2 - Download
Practice Paper 3 - Download
Answers with Explanations - Download

Data Interpretation Questions with Solutions 

Data Interpretation Questions 1 to 9 - Download

Questions 10 to 18 - Download
Questions 18 to 25 - Download
Questions 26 to 35 - Download
Questions 36 to 42 - Download
Questions 43 to 47 - Download

Data Analysis Answers with Explanation
Answers 1 to 14 - Download
Answers 14 to 35 - Download
Answers 35 to 47 - Download

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TNPSC Aptitude Tips & Tricks, Model Question Paper

Quantitative Aptitude Tips & Tricks

With examples

Finding number of Factors 

To find the number of factors of a given number, express the number as a product of powers of prime numbers

In this case, 48 can be written as 16 * 3 = (24 * 3)

Now, increment the power of each of the prime numbers by 1 and multiply the result.

In this case it will be (4 + 1)*(1 + 1) = 5 * 2 = 10 (the power of 2 is 4 and the power of 3 is 1)

Therefore, there will 10 factors including 1 and 48. Excluding, these two numbers, you will have 10 – 2 = 8 factors.

Sum of n natural numbers

-> The sum of first n natural numbers = n (n+1)/2

-> The sum of squares of first n natural numbers is n (n+1)(2n+1)/6

-> The sum of first n even numbers= n (n+1)

-> The sum of first n odd numbers= n^2

Finding Squares of numbers

To find the squares of numbers near numbers of which squares are known

To find 41^2, Add 40+41 to 1600 =1681

To find 59^2, Subtract 60^2-(60+59) =3481

Finding number of Positive Roots

If an equation (i:e f(x)=0 ) contains all positive co-efficient of any powers of x , it has no positive roots then.

Eg: x^4+3x^2+2x+6=0 has no positive roots . 

Finding number of Imaginary Roots

For an equation f(x)=0 , the maximum number of positive roots it can have is the number of sign changes in f(x) ; and the maximum number of negative roots it can have is the number of sign changes in f(-x) .

Hence the remaining are the minimum number of imaginary roots of the equation(Since we also know that the index of the maximum power of x is the number of roots of an equation.)

Reciprocal Roots

The equation whose roots are the reciprocal of the roots of the equation ax^2+bx+c is cx^2+bx+a

Roots

Roots of x^2+x+1=0 are 1,w,w^2 where 1+w+w^2=0 and w^3=1

Finding Sum of the roots
For a cubic equation ax^3+bx^2+cx+d=o sum of the roots = - b/a sum of the product of the roots taken two at a time = c/a product of the roots = -d/a

For a biquadratic equation ax^4+bx^3+cx^2+dx+e = 0 sum of the roots = - b/a sum of the product of the roots taken three at a time = c/a sum of the product of the roots taken two at a time = -d/a product of the roots = e/a

Maximum/Minimum

-> If for two numbers x+y=k(=constant), then their PRODUCT is MAXIMUM if x=y(=k/2). The maximum product is then (k^2)/4

-> If for two numbers x*y=k (=constant), then their SUM is MINIMUM if x=y(=root(k)). The minimum sum is then 2*root (k). 

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Inequalties

-> x + y >= x+y (stands for absolute value or modulus) (Useful in solving some inequations)

-> a+b=a+b if a*b>=0 else a+b >= a+b

-> 2<= (1+1/n)^n <=3 -> (1+x)^n ~ (1+nx) if x<<<1> When you multiply each side of the inequality by -1, you have to reverse the direction of the inequality.

Product Vs HCF-LCM 

Product of any two numbers = Product of their HCF and LCM . Hence product of two numbers = LCM of the numbers if they are prime to each other

AM GM HM

For any 2 numbers a>b a>AM>GM>HM>b (where AM, GM, HM stand for arithmetic, geometric, harmonic menasa respectively) (GM)^2 = AM * HM

Sum of Exterior Angles

For any regular polygon, the sum of the exterior angles is equal to 360 degrees hence measure of any external angle is equal to 360/n. (where n is the number of sides)

For any regular polygon, the sum of interior angles = (n-2)180 degrees

So measure of one angle in

Square-----=90

Pentagon--=108

Hexagon---=120

Heptagon--=128.5

Octagon---=135

Nonagon--=140

Decagon--=144

Problems on clocks

Problems on clocks can be tackled as assuming two runners going round a circle , one 12 times as fast as the other. That is, the minute hand describes 6 degrees /minute the hour hand describes 1/2 degrees / minute. Thus the minute hand describes 5(1/2) degrees more than the hour hand per minute.

The hour and the minute hand meet each other after every 65(5/11) minutes after being together at midnight. (This can be derived from the above).

Co-ordinates

Given the coordinates (a,b) (c,d) (e,f) (g,h) of a parallelogram , the coordinates of the meeting point of the diagonals can be found out by solving for [(a+e)/2,(b+f)/2] =[ (c+g)/2, (d+h)/2]

Ratio

If a1/b1 = a2/b2 = a3/b3 =.............., then each ratio is equal to (k1*a1+ k2*a2+k3*a3+..............) / (k1*b1+ k2*b2+k3*b3+..............) , which is also equal to (a1+a2+a3+............./b1+b2+b3+..........)

Finding multiples

x^n -a^n = (x-a)(x^(n-1) + x^(n-2) + .......+ a^(n-1) ) ......Very useful for finding multiples .For example (17-14=3 will be a multiple of 17^3 - 14^3)

Exponents

e^x = 1 + (x)/1! + (x^2)/2! + (x^3)/3! + ........to infinity 2 <>GP

-> In a GP the product of any two terms equidistant from a term is always constant.

-> The sum of an infinite GP = a/(1-r) , where a and r are resp. the first term and common ratio of the GP .

Mixtures

If Q be the volume of a vessel q qty of a mixture of water and wine be removed each time from a mixture n be the number of times this operation be done and A be the final qty of wine in the mixture then,

A/Q = (1-q/Q)^n

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Some Pythagorean triplets:

3,4,5----------(3^2=4+5)

5,12,13--------(5^2=12+13)

7,24,25--------(7^2=24+25)

8,15,17--------(8^2 / 2 = 15+17 )

9,40,41--------(9^2=40+41)

11,60,61-------(11^2=60+61)

12,35,37-------(12^2 / 2 = 35+37)

16,63,65-------(16^2 /2 = 63+65)

20,21,29-------(EXCEPTION)

Apollonius theorem

Apollonius theorem could be applied to the 4 triangles formed in a parallelogram.

Function

Any function of the type y=f(x)=(ax-b)/(bx-a) is always of the form x=f(y) .

Finding Squares

To find the squares of numbers from 50 to 59

For 5X^2 use the formulae

(5X)^2 = 5^2 +X / X^2

Eg ; (55^2) = 25+5 /25 =3025

(56)^2 = 25+6/36 =3136

(59)^2 = 25+9/81 =3481

--> 

Successive Discounts

Formula for successive discounts

a+b+(ab/100)

This is used for successive discounts types of sums. Like 1999 population increases by 10% and then in 2000 by 5% so the population in 2000 now is 10+5+ (50/100) =+15.5% more that was in 1999 and if there is a decrease then it will be proceeded by a -ve sign and likewise.

Rules of Logarithms:

-> loga(M)=y if and only if M=ay

-> loga(MN)=loga(M)+loga(N)

-> loga(M/N)=loga(M)-loga(N)

-> loga(Mp)=p*loga(M)

-> loga(1)=0-> loga(ap)=p

-> log(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 .........to infinity [ Note the alternating sign . .Also note that the ogarithm is with respect to base e ]

Read more tips & tricks visit  http://www.ias.org.in

General Aptitude model question paper: click here and download 

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TNPSC Study Materials - Group 2, VAO Model Test Questions | Tips and suggestion for preparation selected books and Materials | Maths, History, Biology, Chemistry, Current Affairs, Geography, Indian constitution, Economics, Physics

TNPSC Group Exams Study Material

(Group 1, Group 2 & 2a, Group 4, VAO)

General Tamil {பொது தமிழ், பொது அறிவு} General Studies

Tips and suggestion for preparation selected books and Materials

The Following links are useful for TNPSC Candidates | Private Coaching Centre study materials available here

Mamallan IAS Academy
Study Material - TNPSC GROUP II (A) MODEL QUESTION PAPER CLICK HERE ***
Study Material - TNPSC VAO Maths 6th-10th study material Click here ***

Kanchi Tnpsc Academy Kanchipuram

Study Material - TNPSC Mathematics 100 Questions And Answer Click here***

Study Material - TNPSC Group 2A Study Materials pdf free Download***

Agash IAS Coaching Centre Villupuram

Study Material - ANCIENT HISTORY - Download***

Study Material - BIOLOGY - Download***

Study Material - CHEMISTRY -Download***

Study Material - CURRENT AFFAIRS  -Download***

Study Material - GEOGRAPHY - INDIA & TAMIL NADU - Download***

Study Material - GEOGRAPHY - WORLD - Download***

Study Material -  GK - Download***

Study Material - HISTORY OF INDIAN FREEDOM STRUGGLE - Download***

Study Material - INDIAN CONSTITUTION - Download***

Study Material - INDIAN ECONOMICS - Download***

Study Material - MATHS - Download***

Study Material - PHYSICS - Download***

Study Material - TAMIL NADU HISTORY - Download***

Study Material - TAMIL CLASS 6 TO CLASS 8 - Download***

Study Material - TAMIL CLASS 9 & CLASS 10 - Download***

Study Material - TAMIL PROSE - CLASS 6 TO CLASS 8 - Download***

Study Material - TAMIL GRAMMAR - CLASS 6 TO CLASS 8 - Download***

MR.KUMAR - DHARMAPURI 

TNPSC GROUP II (A) ECONOMICS STUDY MATERIALS CLICK HERE***
TNPSC GROUP II (A) MATHEMATICS STUDY MATERIALS CLICK HERE ***
TNPSC GROUP II (A) TAMIL STUDY MATERIALS PART III CLICK HERE***

TNPSC GROUP II (A) TAMIL STUDY MATERIALS CLICK HERE***

TNPSC GROUP II (A) TAMIL QUESTIONS WITH ANSWER CLICK HERE***

Suggested Books and materials for TNPSC Exams Preparation

We have provided popular and recommended books for TNPSC all type of competitive exams. Especially for Group 2 Exam Preliminary cum Mains Preparation.

1. Preliminary cum Mains Preparation Books

State Board books are considered as primary source of TNPSC Exam question setting for all Examination. So you should study following school text books.

Social Science Books – 6th to 10th Std

Science Books – 6th to 10th Std, (Additional 11th, 12th Botany and Zoology if you have time)

Polity – 11th, 12th Political Science

Economy – 11th, 12th Economics Books

Geography -11th, 12th Geography Books

Indian Culture – 12th Indian Culture Book

2. History

J.Dharmarajan’s Tamilnadu History

Venkadesan. India Freedom Struggle

3. Indian Polity

Lakshi Kanth – Indian Polity

4. Indian Economy

Pratiyogita Darban’s Indian Economy & Ramesh Singh’s Book

5. Geography

Oxford School Atlas

Spectrum Publication -Indian Geography

6. Tamilndu Language and Culture (Mains Exam)

Tamilndu Language

7. Current Affairs

The Hindu, Dinamani,

Competitive Success Review/Civil Service Chronicle/Competition Wizard/Shankar IAS Acadamy’s Civilpedia (any one of these magazine)

Yojana/Thittam

8. Science & Technology

Science & Tech by Spectrum Publications

9. India Year Book by Government of India

10. English Test

Objective General English by R.S. Agarwal

11. Aptitude

A Modern Approach to Verbal Reasoning by R.S. Agarwal

Quantitative Aptitude by R.S.Agarwal

Objective Arithmetic – R. S. Agarwal

12. Guide Books for General Studies:

Any one of the Guides like Tata Mc Graw Hill, Spectrum or Pearson

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