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Number Systems MATHS - Number Systems

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 117 questions in this chapter.

Question types

Number Systems question types

117 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

117
Questions
6
Question groups
5
Question types
Sample Questions

Number Systems questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
Write the correct answer in the following:
$\sqrt[4]{\sqrt[3]{2^2}}$ equals.
  1. $2^{-\frac{1}{6}}$
  2. $2^{-6}$
  3. $2^{\frac{1}{6}}$
  4. $2^{6}$
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Q 2M.C.Q1 Mark
Write the correct answer in the following:
$\sqrt{10}\times\sqrt{15}$ is equal to.
  1. $6\sqrt{5}$
  2. $5\sqrt{6}$
  3. $\sqrt{25}$
  4. $10\sqrt{5}$
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Q 3M.C.Q1 Mark
Write the correct answer in the following:
Every rational number is
  1. A natural number.
  2. An integer.
  3. A real number.
  4. A whole number.
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Q 4M.C.Q1 Mark
Write the correct answer in the following:
$2\sqrt{3}+\sqrt{3}$ is equal to
  1. $2\sqrt{6}$
  2. $6$
  3. $3\sqrt{3}$
  4. $4\sqrt{6}$
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Q 5M.C.Q1 Mark
Write the correct answer in the following:
Between two rational numbers.
  1. There is no rational number.
  2. There is exactly one rational number.
  3. There are infinitely many rational numbers.
  4. There are only rational numbers and no irrational numbers.
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Q 91 Marks Question1 Mark
Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414 ,$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.
$\frac{4}{\sqrt{3}}$
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Q 101 Marks Question1 Mark
Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414 ,$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.
$\frac{1}{\sqrt{3}+\sqrt{2}}$
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Q 224 Marks Questions4 Marks
If $\text{x}=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ and $\text{y}=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ then find the value of $x^2 + y^2.$
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