 # NDA Exam I 2016: Analysis of Mathematics

Here we are trying to give you the Analysis of Mathematics (Paper I) to understand the importance of the topics which will give you a clear idea to prepare for this subject in a better way.

Feb 26, 2016 15:12 IST

Union Public Service Commission (UPSC) organizes National Defence Academy & Naval Academy (NDA &NA) Examination. Through NDA Exam, candidates get admission to the courses at National Defence Academy and Naval Academy. UPSC organizes NDA Exam twice in a year, NDA Exam (I) mostly in the month of April, while NDA & NA (II) in the month of September. This year NDA Exam (I) 2016 will be held on 17th April 2016.

Here we are trying to give you the Analysis of Mathematics (Paper I) to understand the importance of the topics which will give you a clear idea to prepare for this subject in a better way.

Mathematics consists of 120 questions, total 300 marks and duration is two and half hours. The Paper will be objective in nature which will be available in both Hindi & English language.

Topic wise distribution of questions from the year 2007 to 2010

Question  Paper

Subject

2010 (II)

2010(I)

2009(II)

2009(I)

2008(II)

2008(I)

2007(II)

Paper I
Mathematics

Algebra

33

36

30

36

40

40

38

Arithmetic

08

07

09

06

10

08

10

Trigonometry

16

14

20

20

25

27

26

Menstruation

04

05

01

00

13

12

13

Geometry

16

18

14

16

05

05

05

Statistics

06

05

04

04

02

03

03

Logarithm

02

01

04

03

05

05

04

Probability

05

06

04

08

05

05

06

Set Theory

16

14

19

11

05

05

05

Vector

06

07

07

07

05

05

05

Matrix

08

07

08

09

05

05

05

2015
Algebra: 20, Matrices and Determinates: 8, Trigonometry: 12, Analytical Geometry of Two and Three Dimensions: 20, Differential Calculus: 12, Integral calculus and Differential Equations 26, Vector Algebra: 8, Statistics and Probability: 14

Division of each topic with the level of difficulty and methods of preparing:-

1.Algebra:  if we look at the chart above it is clearly shows that algebra topic is very much important, so the first priority should be given to understand the concepts of Algebra, its basic properties etc.

2.Matrices and Determinates: Though weight age of this topic is less but still 7-8 questions are asked each year. For ex: Consider the following statements in respect of symmetric matrices A and B.

(A)AB is symmetric
(B)A2 + B2 are symmetric.

3.Trigonometry:  candidates who are preparing cannot ignore this topic because according to the chart it is the second most important which includes good percentage of questions each year. How to use the application of trigonometry should be learned.

4.Analytical Geometry of two and three dimensions:  If your basic concepts are clear about the equations and theorems then scoring in this topic is not that difficult.

5.Differential Calculus: The Best way is to know the formulae, theoretical knowledge of graphs & functions and have a calculus way to solve most of the graph problems e.g. finding the minimum value of a function, or trying to locate the roots of quadratic equations.

6.Integral Calculus and Differential Equations:  12 questions came from this topic in 2015 and on an average according to the analysis 8 -10 questions is expected this year from the area of curves, application of derivatives etc.

7.Vector Algebra: Important is scalar product of vectors and vectors product of vector.

8.Statistics and Probability: Many questions are asked level of them varies each year. Some questions are like:

Question: There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the letters are inserted into the corresponding envelopes?
(A)11/12
(B)23/24
(C)1/24
(D)None of the above.