Q1.
- (b) 3 0 (b) 23 3ω^2
- (c) 32
(c) - (d) θ (d) 36 If c > 0 and 4a + c < 2b, then ax2 - bx + c = 0
Mathematics
- Year 2016
- Conducted By UPSC
- Questions 120
- Maximum Marks 300
- Duration Two Hours And Thirty Minutes
- Languages Hindi & English
Exam Details
| Detail | Information |
|---|---|
| Examination | National Defence Academy and Naval Academy Examination (II), 2016 |
| Year | 2016 |
| Conducting Body | UPSC |
| Paper | Mathematics |
| Subject | Mathematics |
| Duration | Two Hours And Thirty Minutes |
| Maximum Marks | 300 |
| Number of Questions | 120 |
| Question Type | Objective (MCQ) |
This page hosts the National Defence Academy and Naval Academy Examination (II), 2016 (2016) question paper conducted by UPSC. Subject: Mathematics. Maximum marks: 300. Duration: Two Hours and Thirty Minutes. Question type: multiple_choice. Read exam instructions and page-2 questions online, or download the official PDF for offline practice. This previous year National Defence Academy and Naval Academy Examination (II), 2016 question paper (2016) is useful for Other Jobs 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 Algebra, Complex Numbers, Calculus, Vectors, Matrices, Determinants, Inequalities, Sets. Useful for National Defence Academy and Naval Acade preparation. Helps understand the latest exam pattern. Useful for practice and self-assessment.
Major Topics Covered
- Algebra
- Complex Numbers
- Calculus
- Vectors
- Matrices
- Determinants
- Inequalities
- Sets
- Functions
- Number Theory
- Trigonometry
- Polynomials
- Coordinate Geometry
- Sequences and Series
- Limits
- Permutations and Combinations
- Binomial Theorem
- Probability
- Statistics
- Reasoning
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
Instructions
- THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS. There are four alternatives for the answer to every question. For each question for which a wrong answer 65 has been given by the candidate, one-third (0-33) of the marks assigned to that question will be deducted as penalty. If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given (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 that (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 । (1 - A)
- THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS.
- 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 Test
- 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 Answer 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 English.
- Each item comprises four responses (answers).
- You will select the response which you want to mark on the Answer Sheet.
- In case you feel that there is more than one correct response, mark the 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 Booklet,
- you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate.
- After you have completed filling in all your responses on the Answer Sheet and the examination has
- concluded, you should hand over to the Invigilator only the Answer Sheet.
- You are permitted to take away with you the Test Booklet.
- Sheets for rough work are appended in the Test Booklet at the end.
Questions (page 2)
Q2.
- (a) If \operatornameRe(x-1)/(x + 1)) = 0, where x = x + iy is a 6. has a root in which one of the following intervals? complex number, then which one of the (0, 2) following is correct?
- (b) (2, 3) (a) z = 1 + i
- (c) (3, 4)
Q3. A ∈ x ∈ R : x2 + 6x - 7 < 0 and B = x ∈ R : x2 + 9x + 14 > 0, then which of the following is/are correct?
A ∩ B = x ∈ R : -2 < x < 1
A \setminus B = x ∈ R : -7 < x < -2
Q4. If A is a square matrix of order 3 and det A = 5, then det [(2A)^{-1}] equals?
Question paper preview
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Frequently asked questions
What is the maximum marks for the NDA Mathematics paper (II) 2016?
300
What is the duration of the NDA Mathematics examination (II) 2016?
Two hours and thirty minutes
In what languages is the question paper printed?
Hindi and English
How many items are there in the paper?
The booklet contains 120 items.
Who conducts this exam?
Union Public Service Commission (UPSC)
Which paper is Mathematics in the NDA 2016 exam?
Mathematics Paper II