Which is the smallest whole number?

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Jasmine Grover

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A whole number is an integer that is greater than or equal to 0 and is a non-negative number without any fractional or decimal component. Whole numbers are used to count the number of objects or to indicate the size or magnitude of a set or group of objects.

  • The smallest whole number is 0. They start from 0 and go up to infinity.
  • So, 0 is the smallest whole number.
  • The whole number is 0, 1, 2, 3, 4, 5...
  • It represents the absence of any quantity and is used as a placeholder in various mathematical operations.

Whole numbers

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CBSE CLASS XII Related Questions

  • 1.
    A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

      • Reflexive only
      • Reflexive and Transitive
      • Symmetric and Transitive
      • Symmetric only

    • 2.

      Evaluate:
      \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


        • 3.
          Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).


            • 4.
              Find:

              If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

                • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
                • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
                • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
                • \(p = 0, \, q = 0\)

              • 5.

                An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
                Based on the above information, answer the following questions :


                  • 6.
                    Which of the following equations is NOT a Linear Differential Equation?

                      • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                      • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                      • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                      • \(y \, dx - (x + 3y^2) \, dy = 0\)
                    CBSE CLASS XII Previous Year Papers

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