Q1. What is the value of α (α ≠ 0) for which x2 - 5x + α and x2 - 7x + 2α have a common factor?
- (a) 6
- (b) 4
- (c) 3
- (d) 2
CDS (II) 2017 Elementary Mathematics Question Paper PDF
- Year 2017
- Conducted By UPSC
- Questions 100
- Maximum Marks 100
- Duration Two Hours
- Languages English & Hindi
Exam Details
| Detail | Information |
|---|---|
| Examination | Combined Defence Services Examination (II) |
| Year | 2017 |
| Conducting Body | UPSC |
| Paper | Elementary Mathematics |
| Subject | Elementary Mathematics |
| Duration | Two Hours |
| Maximum Marks | 100 |
| Number of Questions | 100 |
| Question Type | Objective (MCQ) |
This is the official question paper for the Elementary Mathematics paper of the Combined Defence Services Examination (II) conducted by UPSC in 2017. The paper consists of 100 objective-type questions, carrying a maximum of 100 marks and a time duration of two hours. This paper is crucial for candidates aiming to join the armed forces through the CDS exam, testing their foundational knowledge in mathematics. Practicing with this paper helps aspirants understand the exam pattern, difficulty level, and important topics, thereby enhancing their preparation strategy for the CDS examination. This previous year Combined Defence Services Examination (II) question paper (2017) 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 Number System, LCM and HCF, Polynomials, Roots of Equations, Ratio and Proportion, Algebraic Expressions, Remainders. Useful for Combined Defence Services Examination (I preparation. Helps understand the latest exam pattern. Useful for practice and self-assessment.
Major Topics Covered
- Number System
- LCM and HCF
- Polynomials
- Roots of Equations
- Ratio and Proportion
- Algebraic Expressions
- Remainders
Why This Paper is Important
- Useful for Combined Defence Services Examination (I 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
- CDS (II) 2017 General Ability Test
- CDS (II) 2017 English Paper
- CDS (I) 2017 Elementary Mathematics
- CDS (I) 2017 General Ability Test
- CDS (II) 2017 Elementary Mathematics Answer Key
- CDS Elementary Mathematics Syllabus
- UPSC Exam Syllabus
- CDS Exam Pattern
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 (i) has been given by the candidate, one-third 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, 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 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 100 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. How many numbers from 1 to 1000 are divisible by 2, 3, 4 and 5?
- (a) 16
- (b) 17
- (c) 32
- (d) None of the above
Q3. What are the factors of x3 + 4x2 - 11x - 30 ?
- (a) (x-2), (x+3) and (x+5)
- (b) (x+2), (x+3) and (x-5)
- (c) (x+2), (x-3) and (x+5)
- (d) (x+2), (x-3) and (x-5)
Q4. If x = 111...1 (20 digits), y = 333...3 (10 digits) and z = 222...2 (10 digits), then what is (x - y2)/(z) equal to ?
- (a) 1/2
- (b) 1
- (c) 2
- (d) 3
Q5. What is the positive value of m for which the roots of the equation 12x2 + mx + 5 = 0 are in the ratio 3:2 ?
- (a) (5√(10))/(12)
- (b) (5√(10))/(12)
- (c) 5/12
- (d) (12/5)
Q6. Let f(x) and g(x) be two polynomials (with real coefficients) having degrees 3 and 4 respectively. What is the degree of f(x)g(x) ?
- (a) 12
- (b) 7
- (c) 4
- (d) 3
Q7. If 5x3 + 5x2 - 6x + 9 is divided by (x+3), then the remainder is
- (a) 135
- (b) -135
- (c) 63
- (d) -63
Q8. The product of two non-zero expressions is (x+y+z) p3. If their HCF is p2, then their LCM is
- (a) (x+y+z)
- (b) (x+y+z) p2
- (c) (x+y+z) p5
- (d) (x+y+z) p
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Frequently asked questions
What is the full name of the exam for which this paper was conducted?
The full name of the exam is the Combined Defence Services Examination (II).
Which conducting body released this question paper?
This question paper was released by the Union Public Service Commission (UPSC).
What is the subject of this question paper?
The subject of this question paper is Elementary Mathematics.
In which year was this CDS exam conducted?
This exam was conducted in the year 2017.
What is the total number of questions in the Elementary Mathematics paper?
There are 100 questions in the Elementary Mathematics paper.
What is the maximum marks for the Elementary Mathematics paper?
The maximum marks for the Elementary Mathematics paper is 100.