NDA-I 2009 Mathematics Test Booklet

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Questions and Answers

If $A = {a, b, c}$ and $R = {(a, a), (a, b), (b, c), (b, b), (c, c), (c, a)}$, then R is reflexive, symmetric, and transitive.

False (B)

If the sines of two angles of a triangle are $\frac{5}{13}$ and $\frac{99}{101}$, then the cosine of the third angle is $\frac{275}{1313}$.

True (A)

Given the equation $2x = 3 + 5i$, the value of $2x^3 + 2x^2 - 7x + 72$ equals to $4$.

False (B)

If $x > 1$ and $\log_2 x$, $\log_3 x$, $\log_x 16$ are in a Geometric Progression (GP), then x equals 9.

<p>False (B)</p> Signup and view all the answers

The inverse of the matrix $\begin{bmatrix} 0 & 0 & 1 \ 0 & 1 & 0 \ 1 & 0 & 0 \end{bmatrix}$ is $\begin{bmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}$.

<p>False (B)</p> Signup and view all the answers

Flashcards

Penalty for wrong answers in objective-type question papers

For each question with a wrong answer, one-third (0.33) of the marks will be deducted as a penalty.

Action after the commencement of the exam

Check for unprinted, torn, or missing pages/items and replace if necessary.

Encoding the Test Booklet Series

Encode the test booklet series (A, B, C, or D) clearly in the answer sheet.

Roll Number on Test Booklet

Write Roll Number on Test Booklet only. Do not write anything else on the Test Booklet.

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Marking Responses

Choose ONLY ONE response for each item, marking your response on the separate Answer Sheet provided

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Study Notes

NDA-I 2009 Mathematics Test Booklet Summary

  • This is a mathematics test booklet for the NDA-I 2009 exam.
  • The test booklet series is A.
  • The serial number is 187329.
  • The exam duration is two hours and thirty minutes.
  • The maximum marks are 300.

Instructions

  • Immediately check the test booklet for unprinted, torn, or missing pages/items upon the exam's commencement. Get it replaced if there are any issues.
  • Clearly encode the test booklet series (A, B, C, or D) in the appropriate place on the answer sheet.
  • Roll number must be entered on the test booklet; don't write anything else on it.
  • The test booklet contains 120 items (questions).
  • Each item is printed in both Hindi and English and has four responses (answers).
  • Select and mark only one response on the answer sheet for each item.
  • All items carry equal marks.
  • Before marking responses, fill in the required particulars on the answer sheet as per the instructions provided with the Admission Certificate.
  • After completing the examination, hand over only the answer sheet to the invigilator; the test booklet can be taken away.
  • Sheets for rough work are appended at the end of the test booklet.

Penalty for Wrong Answers

  • A penalty applies for wrong answers marked in the objective-type question papers.
  • For every wrong answer, one-third (0.33) of the marks assigned to that question will be deducted.
  • If a candidate provides more than one answer, it will be treated as a wrong answer, with the same penalty applied, even if one of the answers is correct.
  • No penalty for questions left blank.

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