What is the time duration allowed for the Mathematics paper?

The time allowed for the Mathematics paper is 2 Hours and 30 Minutes.

What type of questions are asked in this paper?

This paper consists of objective-type questions.

Are there any penalties for wrong answers?

Yes, there is a penalty for wrong answers. One-third of the marks assigned to the question will be deducted as a penalty for each wrong answer.

What happens if a question is left blank?

If a question is left blank, there will be no penalty.

Is this paper available in multiple languages?

Yes, the question paper is printed in both Hindi and English.

Where can I download the NDA NA 2018 Mathematics question paper?

You can typically download the NDA NA 2018 Mathematics question paper from official UPSC websites or reputable educational portals that provide previous year question papers.

NDA NA Exam (I) 2018 Mathematics Question Paper PDF

Central Government Jobs Administrative / Civil Services 2018

Year 2018
Conducted By UPSC
Questions 120
Maximum Marks 30
Duration Two Hours
Languages English & Hindi

Exam Details

Detail	Information
Examination	National Defence Academy and Naval Academy Examination (I)
Year	2018
Conducting Body	UPSC
Paper	Mathematics
Subject	Mathematics
Duration	Two Hours
Maximum Marks	30
Number of Questions	120
Question Type	Objective (MCQ)

This is the official Mathematics question paper for the National Defence Academy and Naval Academy Examination (I) held in 2018, conducted by UPSC. The paper consists of 120 objective-type questions and is allocated a maximum of 30 marks, with a time limit of 2 hours and 30 minutes. Aspirants can use this paper to understand the exam pattern, difficulty level, and types of questions asked in the Mathematics section, which is crucial for their preparation. This previous year National Defence Academy and Naval Academy Examination (I) question paper (2018) is useful for Administrative / Civil Services aspirants preparing for Central government recruitment. The paper was conducted by UPSC and reflects the official exam pattern, marking scheme and difficulty level seen in recent cycles. Use it for timed practice, topic-wise revision and understanding how questions are framed in the real examination. Download the free PDF on QuizCurrent to read instructions, attempt MCQs and compare your answers with the study notes provided on this page. Key syllabus areas include Mathematics, Algebra, Trigonometry, Calculus, Set Theory, Complex Numbers. Useful for National Defence Academy and Naval Acade preparation. Helps understand the latest exam pattern. Useful for practice and self-assessment.

Major Topics Covered

Mathematics
Algebra
Trigonometry
Calculus
Set Theory
Complex Numbers

Why This Paper is Important

Useful for National Defence Academy and Naval Acade preparation
Helps understand the latest exam pattern
Useful for practice and self-assessment
Covers frequently asked General Studies topics
Helpful for analysing question trends

Related Resources

NDA NA Exam (I) 2018 General Ability Test
NDA NA Exam (I) 2018 English Paper
NDA NA Exam (I) 2018 GK Paper
NDA NA Exam (I) 2018 Mathematics Answer Key
NDA NA Exam Mathematics Syllabus
UPSC Exam Syllabus
NDA NA Exam Pattern
UPSC Exam Pattern

Instructions

THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN TH OBJECTIVE TYPE QUESTION PAPERS. There are four alternatives for the answer to every question. For each question for which a wrong answe (i) has been given by the candidate, one-third of the marks assigned to that question will be deducted a penalty. If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the give (ii) answers happens to be correct and there will be same penalty as above to that question. If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for the (iii) question. DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO ध्यान दें : अनुदेशों का हिन्दी रूपान्तर इस पुस्तिका के पिछले पृष्ठ पर छपा है।

THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEM ETC.
IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET.
Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Te
Booklet Series Code A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet.
Any omission/discrepancy will render the Answe Sheet liable for rejection.
You have to enter your Roll Number on the
Test Booklet in the Box provided alongside.
DO NOT write anything else on the Test Booklet.
This Test Booklet contains 120 items (questions).
Each item is printed both in Hindi and Englisi
Each item comprises four responses (answers).
You will select the response which you want to man on the Answer Sheet.
In case you feel that there is more than one correct response, mark th response which you consider the best.
In any case, choose ONLY ONE response for each item.
You have to mark all your responses ONLY on the separate Answer Sheet provided.
in the Answer Sheet. All items carry equal marks.
Before you proceed to mark in the Answer Sheet the response to various items in the Test Bookle
you have to fill in some particulars in the Answer Sheet as per instructions sent to you with you Admission Certificate.
After you have completed filling in all your responses on the Answer Sheet and the examination ha
concluded, you should hand over to the Invigilator only the Answer Sheet.
You are permitted t take away with you the Test Booklet.
Sheets for rough work are appended in the Test Booklet at the end.

Questions (page 2)

Q1. If n ∈ \mathbbN, then 121ⁿ - 25ⁿ + 1900ⁿ - (-4)ⁿ is divisible by which one of the following?

(a) 1904
(b) 2000
(c) 2002
(d) 2006

Q2. If n = (2017)!, then what is (1)/(log₂ n) + (1)/(log₃ n) + (1)/(log₄ n) + \dots + (1)/(log₂₀₁₇ n) equal to?

(a) 0
(b) 1
(c) (n)/(2)
(d) n

Q3. In the expansion of (1 + x)⁴³, if the coefficients of (2r + 1)^th and (r + 2)^th terms are equal, then what is the value of r (r ≠ 1)?

(a) 5
(b) 14
(c) 21
(d) 22

Q4. What is the principal argument of (-1-i), where i = √(-1)?

(a) π/4
(b) -π/4
(c) -3π/4
(d) 3π/4

Q5. Let α and β be real numbers and z be a complex number. If z² + α z + β = 0 has two distinct non-real roots with Re(z) = 1, then it is necessary that

(a) β ∈ (-1, 0)
(c) β ∈ (1, ∞)
(d) β ∈ (0, 1)

Q6. Let A and B be subsets of X and C = (A ∩ B') ∪ (A' ∩ B), where A' and B' are complements of A and B respectively in X. What is C equal to?

(a) (A ∪ B') - (A ∩ B')
(b) (A' ∪ B) - (A' ∩ B)
(c) (A ∪ B) - (A ∩ B)
(d) (A' ∪ B') - (A' ∩ B')

Question paper preview

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Frequently asked questions

What is the full name of the exam?

The full name of the exam is the National Defence Academy and Naval Academy Examination (I).

Which body conducts the NDA NA Exam?

The Union Public Service Commission (UPSC) conducts the NDA NA Exam.

What is the year of this question paper?

This question paper is from the year 2018.

What is the subject of this paper?

The subject of this paper is Mathematics.

What is the total number of questions in the Mathematics paper?

There are 120 questions in the Mathematics paper.

What is the maximum marks for the Mathematics paper?

The maximum marks for the Mathematics paper is 30.

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