CBSE Questions for Class 9 Maths Number Systems Quiz 8 - MCQExams.com

Find five rational numbers between $$\displaystyle\frac{-3}{2}$$ and $$\displaystyle\frac{5}{3}$$.
  • $$\displaystyle\frac{-8}{6},\,\displaystyle\frac{-13}{6},\,\displaystyle\frac{0}{6},\,\displaystyle\frac{1}{6}$$ and $$\displaystyle\frac{2}{6}$$
  • $$\displaystyle\frac{-8}{6},\,\displaystyle\frac{-7}{6},\,\displaystyle\frac{0}{6},\,\displaystyle\frac{1}{6}$$ and $$\displaystyle\frac{13}{6}$$
  • $$\displaystyle\frac{-8}{6},\,\displaystyle\frac{-7}{6},\,\displaystyle\frac{0}{6},\,\displaystyle\frac{1}{6}$$ and $$\displaystyle\frac{11}{6}$$
  • $$\displaystyle\frac{-8}{6},\,\displaystyle\frac{-7}{6},\,\displaystyle\frac{0}{6},\,\displaystyle\frac{1}{6}$$ and $$\displaystyle\frac{2}{6}$$
Find $$9$$ rational numbers between $$-\displaystyle\frac{1}{9}\;and\;\displaystyle\frac{1}{5}$$.
  • $$\displaystyle\frac{-7}{45},\,\displaystyle\frac{-3}{45},\,\displaystyle\frac{-2}{45},\,\displaystyle\frac{-1}{45},\,\displaystyle\frac{2}{45},\,\displaystyle\frac{3}{45},\,\displaystyle\frac{4}{45},\,\displaystyle\frac{5}{45},\,\displaystyle\frac{8}{45}$$
  • $$\displaystyle\frac{-4}{45},\,\displaystyle\frac{-3}{45},\,\displaystyle\frac{-2}{45},\,\displaystyle\frac{-1}{45},\,\displaystyle\frac{10}{45},\,\displaystyle\frac{3}{45},\,\displaystyle\frac{4}{45},\,\displaystyle\frac{5}{45},\,\displaystyle\frac{8}{45}$$
  • $$\displaystyle\frac{-4}{45},\,\displaystyle\frac{-3}{45},\,\displaystyle\frac{-2}{45},\,\displaystyle\frac{-1}{45},\,\displaystyle\frac{2}{45},\,\displaystyle\frac{9}{45},\,\displaystyle\frac{4}{45},\,\displaystyle\frac{5}{45},\,\displaystyle\frac{8}{45}$$
  • $$\displaystyle\frac{-4}{45},\,\displaystyle\frac{-3}{45},\,\displaystyle\frac{-2}{45},\,\displaystyle\frac{-1}{45},\,\displaystyle\frac{2}{45},\,\displaystyle\frac{3}{45},\,\displaystyle\frac{4}{45},\,\displaystyle\frac{5}{45},\,\displaystyle\frac{8}{45}$$
Write any $$10$$ rational numbers between $$0\;and\;2$$.
  • $$\displaystyle\frac{1}{10},\,\displaystyle\frac{2}{10},\,\displaystyle\frac{3}{10},\,\displaystyle\frac{4}{10},\,\displaystyle\frac{5}{10},\,\displaystyle\frac{6}{10},\,\displaystyle\frac{7}{10},\,\displaystyle\frac{88}{10},\,\displaystyle\frac{9}{10},\,\displaystyle\frac{10}{10}$$
  • $$\displaystyle\frac{1}{10},\,\displaystyle\frac{2}{10},\,\displaystyle\frac{3}{10},\,\displaystyle\frac{4}{10},\,\displaystyle\frac{21}{10},\,\displaystyle\frac{6}{10},\,\displaystyle\frac{7}{10},\,\displaystyle\frac{8}{10},\,\displaystyle\frac{9}{10},\,\displaystyle\frac{10}{10}$$
  • $$\displaystyle\frac{1}{10},\,\displaystyle\frac{2}{10},\,\displaystyle\frac{3}{10},\,\displaystyle\frac{4}{10},\,\displaystyle\frac{35}{10},\,\displaystyle\frac{6}{10},\,\displaystyle\frac{7}{10},\,\displaystyle\frac{8}{10},\,\displaystyle\frac{9}{10},\,\displaystyle\frac{10}{10}$$
  • $$\displaystyle\frac{1}{10},\,\displaystyle\frac{2}{10},\,\displaystyle\frac{3}{10},\,\displaystyle\frac{4}{10},\,\displaystyle\frac{5}{10},\,\displaystyle\frac{6}{10},\,\displaystyle\frac{7}{10},\,\displaystyle\frac{8}{10},\,\displaystyle\frac{9}{10},\,\displaystyle\frac{10}{10}$$
Which of the following is irrational?
  • $$\displaystyle\frac{1}{3}$$
  • $$\displaystyle\frac{48}{5}$$
  • $$0.7777\dots$$
  • $$1.73202002\dots$$
Choose the rational number which does not lie between rational numbers $$\displaystyle\frac{3}{5}$$ and $$\displaystyle\frac{2}{3}$$
  • $$\displaystyle\frac{46}{75}$$
  • $$\displaystyle\frac{47}{75}$$
  • $$\displaystyle\frac{49}{75}$$
  • $$\displaystyle\frac{50}{75}$$
Which of the following rational numbers lies between $$\dfrac {-4}{5}$$ and $$\dfrac {-7}{5}$$?
  • $$\dfrac {-36}{45}$$
  • $$\dfrac {-35}{45}$$
  • $$\dfrac {-39}{45}$$
  • $$\dfrac {-63}{45}$$
The product of $$4\sqrt 6$$ and $$3\sqrt {24}$$ is:
  • $$124$$
  • $$134$$
  • $$144$$
  • $$154$$
If $$x$$ be any integer different from zero and $$m,n$$ be any integers then $$({x^m})^n$$ is equal 
  • $$x^{m+n}$$
  • $$x^{mn}$$
  • $$\dfrac {m}{x^n}$$
  • $$x^{m-n}$$
Find five rational numbers between $$1$$ and $$2.$$
  • $$\dfrac {1}{10}, \dfrac {2}{10}, \dfrac {3}{10}, \dfrac {4}{10}, \dfrac {5}{10}$$
  • $$\dfrac {1}{5}, \dfrac {2}{5}, \dfrac {3}{5}, \dfrac {4}{5}, \dfrac {5}{5}$$
  • $$\dfrac {1}{2}, \dfrac {1}{3}, \dfrac {1}{4}, \dfrac {1}{5}, \dfrac {1}{6}$$
  • $$\dfrac {8}{7}, \dfrac {9}{7}, \dfrac {10}{7}, \dfrac {11}{7}, \dfrac {12}{7}$$
The square root of any prime number is 
  • rational
  • irrational
  • co-prime
  • composite
The value of $$\sqrt{32}\times \sqrt{64}$$ is equal to:
  • $$32$$
  • $$32\sqrt{2}$$
  • $$64$$
  • $$64\sqrt{2}$$
The fraction $$\displaystyle \frac{4}{\sqrt{6}}$$ is equivalent to
  • $$\displaystyle \frac{2}{\sqrt{3}}$$
  • $$\displaystyle \frac{2\sqrt{6}}{3}$$
  • $$\displaystyle \frac{4\sqrt{6}}{3}$$
  • None of the above
The fraction $$\displaystyle \frac{2}{\sqrt{6}}$$ is equal to
  • $$\displaystyle \frac{\sqrt{6}}{3}$$
  • $$\displaystyle \frac{\sqrt{6}}{\sqrt{3}}$$
  • $$\displaystyle \frac{\sqrt{6}}{2}$$
  • None of the above
The fraction $$\displaystyle \frac{\sqrt{5}}{2\sqrt{3}} $$ is equivalent to
  • $$\displaystyle \frac{\sqrt{5}}{6}$$
  • $$\displaystyle \frac{\sqrt{15}}{6}$$
  • $$\displaystyle \frac{\sqrt{5}}{3}$$
  • $$\displaystyle \frac{\sqrt{10}}{6}$$

$$\dfrac {17}{8}$$ can be expressed as $$.....$$. It is a $$........$$ decimal.
  • $$ 2.125$$, terminating
  • $$ 2.321321...$$, non-terminating
  • $$1.125125124...$$, recurring
  • $$2.125$$, irrational
............... numbers have terminating and non- terminating repeating decimals.
  • Integers
  • Whole
  • Rational
  • Irrational
What rational number lies exactly halfway between $$\dfrac{2}{3}$$ and $$\dfrac{3}{4}$$?
  • $$\dfrac{3}{5}$$
  • $$\dfrac{5}{6}$$
  • $$\dfrac{7}{12}$$
  • $$\dfrac{9}{16}$$
  • $$\dfrac{17}{24}$$
Identify a rational number between $$\dfrac {1}{3}$$ and $$\dfrac {4}{5}$$
  • $$\dfrac {1}{4}$$
  • $$\dfrac {9}{10}$$
  • $$\dfrac {17}{30}$$
  • $$\dfrac {7}{10}$$
Calculate the number of irrational numbers between $$1$$ and $$8$$.
  • Fewer than $$3$$
  • $$3$$
  • $$6$$
  • $$7$$
  • More than $$7$$
How many irrational numbers are there between $$2$$ and $$6$$?
  • $$1$$
  • $$3$$
  • $$4$$
  • $$10$$
  • Infinitely many
Consider the following statements:
$$\dfrac {1}{22}$$ cannot be written as a terminating decimal.
2. $$\dfrac {2}{15}$$ can be written as a terminating decimal.
3. $$\dfrac {1}{16}$$ can be written as a terminating decimal.
Which of the statements given above is/are correct?
  • $$1$$ only
  • $$2$$ only
  • $$3$$ only
  • $$2$$ and $$3$$
Identity the rational number that does not lie between  $$ \cfrac{3}{5}$$ and $$ \cfrac{2}{3}$$.
  • $$ \cfrac{46}{75}$$
  • $$ \cfrac{47}{75}$$
  • $$ \cfrac{49}{75}$$
  • $$ \cfrac{50}{75}$$
Identify the rational numbers from the followings:
$$72, \dfrac {5}{27}, \dfrac {62}{0}, 1\dfrac {3}{5}, -7\dfrac {5}{4}, 0$$
  • All except $$\dfrac {62}{0}$$
  • All are rational numbers
  • All except $$\dfrac {62}{0}$$ and $$0$$
  • All except $$1\dfrac {3}{5}, -7\dfrac {5}{4}$$
State whether the following statements are true or false. 
$$\sqrt {n}$$ is not irrational if n is a perfect square
  • True
  • False
State true or false.
Zero is a rational number.
  • True
  • False
In mathematics, the irrational number e $$= 2.718$$... Which of the following letters corresponds to the number e on the number line below?
597790.png
  • A
  • B
  • C
  • D
Following are the steps to represent $$\sqrt5$$  on number line.
Arrange them in order.
1) Draw OC on line with $$l(OC)=l(OB)$$,
2) Draw $$AB \perp OA\ and\ l(AB) =1$$
3) Take $$l(OA)=2$$
4) $$l(OC)=\sqrt5$$, C is required point on real line.
  • $$1,2,3,4$$
  • $$2,4,1,3$$
  • $$3,2,4,1$$
  • $$3,2,1,4$$
Which of the following number is different from others?
  • $$\sqrt 7$$
  • $$\sqrt 6$$
  • $$\sqrt {25}$$
  • $$\sqrt{10}$$
In mathematics, the number $$\phi$$ is an irrational number that is roughly equal to $$1.618$$... Which letter corresponds to the correct placement of $$\phi$$ on the number line below?
597797.png
  • A
  • B
  • C
  • D
If $$p$$ is prime, then $$\sqrt {p}$$ is:
  • Composite number
  • Rational number
  • Positive integer
  • Irrational number
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