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Combined Defence Services (CDS) I Exam 2014: Elementary Mathematics paper

Candidates who are preparing for the Combined Defence Services I Exam in the forthcoming year can find out what kind of questions were asked in this exam in the year 2014.  5 questions asked in Elementary Mathematics Paper of Combined Defence Services I  Exam 2014 are as follows:

1. What is the number of integral solutions of the equations HCF (a,b) = 5 and a+b = 65?

  1. None
  2. Infinitely many
  3. Less than 65
  4. Exactly one

2. The difference of two consecutive cubes

  1. is odd or even
  2. is never divisible by 2
  3. is always even
  4. None of the above

3. The product of four consecutive natural numbers plus one is

  1. a non-square
  2. always sum of two square numbers
  3. a square
  4. None of the baove

4. For any integers ‘a’ and ‘b’ with HCF (a,b) = 1, what is HCF (a+b, a-b) equal to?

  1. It is always 1
  2. It is always 2
  3. Either 1 or 2
  4. None of the above

5. The expression 2x³ + x² – 2x – 1 is divisible by

  1. x+2
  2. 2x+1
  3. x-2
  4. 2x-1

Click here to read the full question paper on the official website of UPSC

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