CDS 2016 Elementary Math Paper (Page 1-2) - MCQ
- Year 2016
- Conducted By Union Public Service Commission (UPSC)
- Questions 100
- Maximum Marks 100
- Duration Two Hours
- Languages English & Hindi
Exam Details
| Detail | Information |
|---|---|
| Examination | Combined Defence Services Examination (II) - Elementary Mathematics |
| Year | 2016 |
| Conducting Body | Union Public Service Commission (UPSC) |
| Paper | Elementary Mathematics |
| Subject | Elementary Mathematics |
| Duration | Two Hours |
| Maximum Marks | 100 |
| Number of Questions | 100 |
| Question Type | Multiple choice questions |
This dataset comprises page 1 of the CDS II 2016 Elementary Mathematics question paper, including the exam header, maximum marks (100), and time allowed (Two Hours), along with instructions and scanning notes. Page 2 provides repaired OCR for the objective questions in two columns: the left column lists questions 1–4 with garbled stems and options, while the right column presents questions (likely 5–8) with multiple choice options. Repaired questions include classic number-theory and algebraic problems such as CRT-style remnant problems, a division mistake puzzle, and a question about real roots of a quadratic equation. The content is suitable for SEO-focused metadata generation, topic tagging, and FAQ-based SEO enrichment.
Major Topics Covered
- CDS 2016
- Elementary Mathematics
- UPSC
- MCQ
- Question Paper
- Two Hours
- 100 Questions
- Penalty for Wrong Answers
- Bilingual Paper
- Hindi-English Instructions
- Number Theory
- CRT Remainders
- Divisibility
- Remainders
- Quadratic Equations
- Real Roots
- Puzzles
- Word Problems
- OCR Repair
- Two-Column Layout
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
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 \left( 1\right) a wrong answer 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 (ii) of the given 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 (iii) for that 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।
- CHECK THAT 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 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
- 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.
- 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 is an integer and , of such and 2 < β < 3, then how can take ? 3 9 14 15 3. What is to 330
-
(c)
355 366
4. If , and then what is the value of ?
(c) 2 --- Right column ---
Vhat would be the maximum value of in the equation ? a) 9 ) 8 ) 5 4 is a set of positive integers such that hen divided by 2, 3, 4, and 6 leaves ne remainder 1, 2, 3, 4 and respec- vely. How many integers between and 100 belong to the set ? a) No integer b) One Two l) Three a an examination, a student was asked divide a certain number by
8. By istake he multiplied it by and got the nswer 2016 more than the correct iswer. What was the number? I) 252 i) 256 258 260 the quadratic equation , and can take any value from the set 1, 2, 3, 4}. How many pairs of values a and b are possible in order that the uadratic equation has real roots? 6 I) 7
Q3. 3. What is to
Q4. 4. If , and then what is the value of ?
Q5. 5. What would be the maximum value of the expression in the equation?
Q6. 6. is a set of positive integers such that when divided by 2, 3, 4, 5 and 6 leaves the remainders 1, 2, 3, 4 and 5 respectively. How many integers between 1 and 100 belong to the set?
Q7.
7. An examination, a student was asked to divide a certain number by
8. By mistake he multiplied it by 8 and got the answer 2016 more than the correct answer. What was the number?
Q8. 8. The quadratic equation , and can take any value from the set {1, 2, 3, 4}. How many pairs of values a and b are possible in order that the quadratic equation has real roots?
Question paper preview
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Frequently asked questions
What is the maximum marks for the paper?
100
What is the duration of the examination?
Two Hours
Which examination does this paper belong to?
Combined Defence Services Examination (II), 2016
What is the subject of this paper?
Elementary Mathematics
Is the paper bilingual?
Yes, instructions appear in English and Hindi.
Which body conducts CDS?
Union Public Service Commission (UPSC)