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DSSSB TGT Number Systems — practice questions

Explore 49 free Number Systems questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Number Systems questions and exercises with answers

Showing questions 1–30 of 49.

The set of natural numbers N starts at:Read the answer and worked solution →The Indian mathematician who formally introduced ZERO as a number (with rules for arithmetic) in 628 CE was:Read the answer and worked solution →A rational number is any number that can be written in the form p/q, where p and q are integers and:Read the answer and worked solution →Which of these is an IRRATIONAL number?Read the answer and worked solution →The set of real numbers ℝ consists of:Read the answer and worked solution →By Brahmagupta's rules: a fortune (positive) multiplied by a debt (negative) gives:Read the answer and worked solution →Which of these is NOT an equivalent fraction of −1/3?Read the answer and worked solution →The famous Ishango bone (~20,000 BCE) is mathematically remarkable because it contains tallies grouped into:Read the answer and worked solution →By Brahmagupta's laws, what is (−5) − (−3)?Read the answer and worked solution →Find a rational number lying strictly between 1/4 and 1/3:Read the answer and worked solution →Which fraction has a TERMINATING decimal expansion?Read the answer and worked solution →Convert the repeating decimal 0.45̄ (45 repeating: 0.454545…) to the form p/q:Read the answer and worked solution →Convert 0.16̄ (where only the 6 repeats: 0.16666…) to p/q:Read the answer and worked solution →Ancient Indian mathematicians named powers of 10. According to the Vedas, the name for 10¹² was:Read the answer and worked solution →The exact formula for π was first given as an INFINITE SERIES by which Indian mathematician (14th century)?Read the answer and worked solution →For which of the following fractions will the decimal expansion have a REPEATING (non-terminating) block?Read the answer and worked solution →Aryabhata (499 CE) gave the approximation π ≈ 3927/1250. He also called this an 'āsanna' meaning:Read the answer and worked solution →Whole numbers consist of:Read the answer and worked solution →Which of these is the smallest natural number?Read the answer and worked solution →Which of these is irrational?Read the answer and worked solution →Convert 0.5 to a fraction:Read the answer and worked solution →How many natural numbers are there?Read the answer and worked solution →The product of two negative integers is:Read the answer and worked solution →Convert 3/4 to a decimal:Read the answer and worked solution →Which is the additive inverse of -7?Read the answer and worked solution →Find a rational number between 0.3 and 0.4:Read the answer and worked solution →The decimal expansion of 1/9 is:Read the answer and worked solution →Compute 5/6 + 2/3:Read the answer and worked solution →The decimal expansion of 7/8 is:Read the answer and worked solution →What is the absolute value of -5/3?Read the answer and worked solution →

Worked practice questions

The set of natural numbers N starts at:

  1. 0
  2. 1
  3. -∞
  4. Any positive number
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Correct answer: B. 1

Natural numbers are the counting numbers N = {1, 2, 3, 4, …}. They start at 1 — the earliest mathematical concept, dating back to humans matching pebbles to cattle thousands of years ago.

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The Indian mathematician who formally introduced ZERO as a number (with rules for arithmetic) in 628 CE was:

  1. Aryabhata
  2. Brahmagupta
  3. Bhaskara
  4. Madhava
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Correct answer: B. Brahmagupta

Brahmagupta's Brāhmasphuṭasiddhānta (628 CE) gave zero its first formal definition and rules — not just a placeholder, but a number you could add, subtract, multiply with. The philosophical idea of śhūnya was much older (Yoga Sutras, c. 3rd century BCE), but Brahmagupta codified it for mathematics.

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A rational number is any number that can be written in the form p/q, where p and q are integers and:

  1. q can be anything
  2. q ≠ 0
  3. p ≠ 0
  4. p and q are equal
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Correct answer: B. q ≠ 0

Division by zero is undefined, so q must be non-zero. The numerator p can be any integer (including 0 — since 0/5 = 0 is rational).

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More Mathematics topics

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