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DSSSB TGT C9piapprox — practice questions

Explore 3 free C9piapprox questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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C9piapprox questions and exercises with answers

Showing questions 1–3 of 3.

As per your syllabus, what does it mean to say that π is an IRRATIONAL number?Read the answer and worked solution →As per your syllabus, ZU CHONGZHI's 'Close Ratio' (Milü) approximation of π is which fraction — accurate for over 800 years as the best rational approximation?Read the answer and worked solution →As per your syllabus, the digits of π that match 'How I wish I could recollect pi' (counting letters per word) are which sequence?Read the answer and worked solution →

Worked practice questions

As per your syllabus, what does it mean to say that π is an IRRATIONAL number?

  1. π changes value depending on the circle
  2. π has no decimal expansion at all
  3. π cannot be written as a fraction a/b where a and b are integers (b ≠ 0)
  4. π equals 22/7 exactly
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Correct answer: C. π cannot be written as a fraction a/b where a and b are integers (b ≠ 0)

Irrational means π ≠ any integer fraction (As per your syllabus, ). Its decimal expansion is infinite and non-repeating.

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As per your syllabus, ZU CHONGZHI's 'Close Ratio' (Milü) approximation of π is which fraction — accurate for over 800 years as the best rational approximation?

  1. 377/120 ≈ 3.14167
  2. 355/113 ≈ 3.1415929
  3. 22/7 ≈ 3.1428
  4. √10 ≈ 3.1622
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Correct answer: B. 355/113 ≈ 3.1415929

As per your syllabus, Zu Chongzhi (480 CE) found 355/113 as the 'Milü' — accurate to 6 decimal places. The other approximations are by different mathematicians and less accurate.

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As per your syllabus, the digits of π that match 'How I wish I could recollect pi' (counting letters per word) are which sequence?

  1. Random digits
  2. 3, 1, 4, 1, 5, 9, 2, 6, 5, 3
  3. 3.14, 2.71, 1.41
  4. 3, 1, 4, 1, 5, 9, 2
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Correct answer: D. 3, 1, 4, 1, 5, 9, 2

How(3) I(1) wish(4) I(1) could(5) recollect(9) pi(2) → 3.141592 (As per your syllabus, 's Fun Fact). The other options are incorrect.

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More Mathematics topics

SequencesBinomial TheoremGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometryProbabilityCorrelation and Regression