CBSE Questions for Class 9 Maths Number Systems Quiz 5 - MCQExams.com

Which of the following is an irrational number?
  • $$\dfrac{11}{2}$$
  • $$\sqrt{16}$$
  • $$\sqrt{9}$$
  • $$\sqrt{11}$$
Which of the following rational numbers lies between $$\dfrac {3}{2}$$ and $$4$$ ?
  • $$\dfrac {1}{2}$$
  • $$3$$
  • $$\dfrac {8}{2}$$
  • $$\dfrac {9}{2}$$
$$5$$ is a rational number. It can be written as ..........
  • $$\dfrac {5}{1}$$
  • $$\dfrac {1}{5}$$
  • $$\dfrac {5}{5}$$
  • $$\dfrac {5}{25}$$
$$\pi = 3.14159265358979........$$ is an
  • rational number
  • whole number
  • irrational number
  • all of the above
A terminating decimal has a ............ number of terms after the decimal point.
  • zero
  • infinite
  • finite
  • none of the above
To simplify the following expression correctly, what must be done with the exponents?
$${ { 5 }^{ a }\times { 5 }^{ b }\times  }{ 5 }^{ c }$$
  • Add the exponents.
  • Multiply the exponents.
  • Divide the exponents
  • Subtract the exponents.
Solve the following using Product Law of Exponents.
$$a\times { a }^{ 2 }\times { a }^{ \tfrac { 1 }{ 2 }  }$$
  • $${ a }^{ 7 }$$
  • $${ a }^{ \tfrac { 2 }{ 7 } }$$
  • $${ a }^{ 3 }$$
  • $${ a }^{ \tfrac { 7 }{ 2 } }$$
Simplify the following:
$${ \left( \cfrac { 1 }{ 2 }  \right)  }^{ 4 }\times { \left( \cfrac { 1 }{ 2 }  \right)  }^{ 5 }\times { \left( \cfrac { 1 }{ 2 }  \right)  }^{ 6 }$$
  • $${ \left( \cfrac { 1 }{ 2 }  \right)  }^{ 15 }$$
  • $${ \left( \cfrac { 1 }{ 2 }  \right)  }^{ 5 }$$
  • $${ \left( \cfrac { 1 }{ 2 }  \right)  }^{ 10 }$$
  • None of these
Simplify and give reasons:
$$\left[ { \left( \cfrac { 3 }{ 2 }  \right)  }^{ -2 } \right] ^{ 2 }$$
  • $$\cfrac{16}{81}$$
  • $$\cfrac{6}{81}$$
  • $$\cfrac{16}{1}$$
  • None of these
Simplify and give reasons:
$${(-3)}^{-4}$$
  • $$\cfrac{1}{81}$$
  • $$\cfrac{-1}{81}$$
  • $$\cfrac{3}{81}$$
  • None of these
Which irrational number is plotted on the number line in figure?
597785.png
  • $$\pi$$
  • $$\sqrt{2}$$
  • $$\sqrt{3}$$
  • $$\sqrt{5}$$
State whether the following statements are true or false. Justify your answers.
Every irrational number is a real number
  • True
  • False
State whether the following statement is true or false:
All real numbers are irrational
  • True
  • False
Classify the following numbers as rational or irrational:  $$\displaystyle \frac{\sqrt{12}}{\sqrt{75}}$$.
  • Rational
  • Irrational
  • Can't be determined
  • None of these
State true or false.
Every integer is a rational number.
  • True
  • False
Is the following statement True or False
Every rational number is an integer.
  • True
  • False
$$\displaystyle\frac{2}{\sqrt{2}}$$ is equal to:
  • $$2\sqrt{2}$$
  • $$\sqrt{2}$$
  • $$\displaystyle\frac{\sqrt{2}}{2}$$
  • $$2$$
Find whether the following statement are true or false.
Every integer is a rational number and vice versa.
  • True
  • False
Are the following statements true or false? Given reasons for your answer.
Every rational number is a whole number.
  • True
  • False
$${ \left( \dfrac { 2 }{ 3 }  \right)  }^{ 0 }=?$$
  • $$\dfrac{3}{2}$$
  • $$\dfrac{2}{3}$$
  • $$1$$
  • $$0$$
Which one of the following is an irrational number?
  • $$\pi$$
  • $$\sqrt{9}$$
  • $$\displaystyle\frac{1}{4}$$
  • $$\displaystyle\frac{1}{5}$$
Find whether the following statement are true or false.
In a rational number of the form $$\cfrac { p }{ q } ,q$$ must be a non zero integer.
  • True
  • False
Evaluate $$2^0+3^0$$
  • $$2$$
  • $$3$$
  • $$5$$
  • $$1$$
State which of the following statements is/are true?
I. Numerator and denominator of a positive rational number need not to have like signs.
II. Numerator and denominator of a negative rational number should have like signs.
  • Only I
  • Only II
  • Both I and II
  • Neither I nor II
The fact that $$7\sqrt{5}$$ is irrational is because
  • Product of two irrational numbers in rational
  • Product of a rational and an irrational number is rational
  • Product of two rational numbers is rational
  • Product of a rational and an irrational number is irrational
Which of the following rational numbers is positive?
  • $$\dfrac{-7}{9}$$
  • $$\dfrac{-8}{2}$$
  • $$\dfrac{6}{5}$$
  • $$\dfrac{3}{-2}$$
The expression $$2 + \sqrt{2} + \dfrac{1}{2 + \sqrt{2}} + \dfrac{1}{\sqrt{2} - 2}$$ equals to
  • $$2$$
  • $$2 - \sqrt{2}$$
  • $$2 + \sqrt{2}$$
  • $$2\sqrt{2}$$
Subtraction of two irrational numbers is:
  • a rational
  • an irrational an integer
  • either rational or irrational
  • Can't determine
Any operation between one non-zero rational and one irrational number always gives:
  • a rational number
  • an irrational number
  • an integer
  • a fraction
State true or false:
An irrational number between $$3.1$$ and $$3.2$$ is $$\pi$$.
  • True
  • False
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