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
NDA NA Exam (I) 2018 Mathematics Question Paper PDF
- 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.
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)
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)
- (b) |β| = 1
- (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
Scanned pages 1–2 for reference. Download the official PDF for the full paper.
Free question paper download
Download question paper PDF
Your download starts in 10s
Preparing your question paper file…
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.