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DSSSB TGT Mathematics — practice by topic

Browse 518 questions across 48 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Sequences (85)Binomial Theorem (72)Geometry (72)Probability & Statistics (72)Sequences and Series (72)Vectors & 3D Geometry (72)Probability (69)Correlation and Regression (55)Linear Programming (55)Mean (55)Median (55)Permcomb (55)Permutations and Combinations (55)Number Systems (49)Quadratic Equations (48)Algebra (46)Logarithms (46)Polynomials (44)Statistics (42)Number Theory (37)Arithmetic Progressions (32)Coordinate Geometry (31)Real Numbers (30)HCF and LCM (29)Probability Density Function (28)Probability Distribution (28)Intro Trigonometry (19)Linear Equations (18)Pair of Linear Equations in Two Variables (18)Introduction to Trigonometry (13)Pair Of Linear Equations (13)Algebraic Identities (12)Linearpolynomials (12)Triangles (11)C9perimeter (9)Mensuration (9)Perimeter and Area (9)C9sumnaturals (8)C9arithmeticprog (7)C9geometricprog (7)C9heronbrahma (7)C9sequencebasics (7)C9areabasic (6)Areas Related to Circles (4)Circles (4)Some Applications of Trigonometry (4)C9piapprox (3)Section Formula (2)

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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 →

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
Show answer and solution

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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