CBSE Questions for Class 9 Maths Number Systems Quiz 6 - MCQExams.com

The conjugate of the surd $$\sqrt{5}-\sqrt{2}$$ ?
  • $$\sqrt{5}+\sqrt2$$
  • $$-\sqrt{5}+\sqrt2$$
  • Either $$(A)$$ or $$(B)$$
  • None of these
$$\dfrac {p}{q}$$ is a rational number when
  • $$p=0,q\neq0$$
  • $$p=0,q=0$$
  • $$p\ne 0,q=0$$
  • $$p=1,q=0$$
Add : $$6 + 3\sqrt 3 $$ and $$8 + 4\sqrt 3 $$
  • $$1+7\sqrt{3}$$
  • $$8+7\sqrt{3}$$
  • $$14+7\sqrt{3}$$
  • $$4+7\sqrt{3}$$
$$a^{0}=1$$. Is it true or false?
  • True
  • False
If $$\sqrt{a}$$ is an irrational number, what is a? 
  • Rational
  • Irrational
  • $$0$$
  • Real
The number $$23+\sqrt{7}$$ is
  • Natural number
  • Irrational number
  • Rational number
  • None of these
$$\surd 4+\surd 83,$$ the correct option is 
  • Does not exists as quadratic surd
  • $$2+\surd 83$$
  • $$\surd 83-2$$
  • Does not exist as real numbers
The value of $$1.999...$$ in the form $$\dfrac {p}{q}$$, where $$p$$ and $$q$$ are integers and $$q\neq 0$$, is:
  • $$\dfrac {1}{9}$$
  • $$\dfrac {19}{10}$$
  • $$\dfrac {1999}{1000}$$
  • $$2$$
$$\pi$$ is a/an _______ .
  • Rational number
  • Integer
  • Irrational number
  • Whole number
State whether the given statement is true/false:
An irrational number between two numbers $$\dfrac{1}{7}$$ and $$\dfrac{2}{7}$$ is $$0.1501500 15000...$$
  • True
  • False
State true or false.
Five rational numbers between.
$$\dfrac{2}{3}$$ and $$\dfrac{4}{5}$$ are $$\dfrac{41}{60},\dfrac{42}{60},\dfrac{43}{60},\dfrac{44}{60},\dfrac{45}{60}$$
  • True
  • False
State whether the given statement is true or false:

Five rational numbers between $$\dfrac{-3}{2}$$ and $$\dfrac{5}{3}$$ are $$\dfrac{-8}{6},\dfrac{-7}{6},0,\dfrac{1}{6},\dfrac{2}{6}$$.
  • True
  • False
State true or false
Five rational numbers between $$\dfrac{1}{4}$$ and $$\dfrac{1}{2}$$ are $$\displaystyle\frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}$$.
  • True
  • False
State true or false.
Three rational numbers between $$\dfrac{2}{5}$$ and $$\dfrac{3}{5}$$ is  $$\dfrac{9}{20},\dfrac{10}{20},\dfrac{11}{20}$$
  • True
  • False
Which one of the following is an irrational number ?
  • 0.14
  • 0.1416
  • 0.14169452
  • 0.4014001400014543.....
State true or false:
Ten rational numbers between $$\dfrac{3}{5}$$ and $$\dfrac {3}{4}$$ are 
$$ \displaystyle\frac{97}{160},\frac{98}{160},\frac{99}{160},\frac{100}{160},\frac{101}{160},\frac{102}{160},\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}$$
  • True
  • False
Two rational numbers between $$\dfrac{1}{5}$$ and $$\dfrac{4}{5}$$ are :
  • 1 and $$\dfrac{3}{5}$$
  • $$\dfrac{2}{5}$$ and $$\dfrac{3}{5}$$
  • $$\dfrac{1}{2}$$ and $$\dfrac{2}{1}$$
  • $$\dfrac{3}{5}$$ and $$\dfrac{6}{5}$$
$$\pi$$ is an ________ while $$\dfrac{22}{7}$$ is rational.
  • Integer
  • Whole Number

  • Rational Number

  • Irrational Number

Check whether following statement is true or false.
$$7\sqrt{5}$$ is a rational number.
  • True
  • False
Choose the rational number which does not lie between rational numbers $$\dfrac{3}{5}$$ and $$\dfrac{2}{3}$$.
  • $$\dfrac{46}{75}$$
  • $$\dfrac{47}{75}$$
  • $$\dfrac{49}{75}$$
  • $$\dfrac{50}{75}$$
Which of the following is an irrational number ?
  • $$\sqrt{23}$$
  • $$\sqrt{225}$$
  • $$0.3796$$
  • $$7.478$$
Which of the following numbers is different from others?
  • $$\sqrt{6}$$
  • $$\sqrt{11}$$
  • $$\sqrt{15}$$
  • $$\sqrt{16}$$

Say true or false.

$$ \dfrac {1}{0}$$ is not rational.
  • True
  • False
Which of the following order is correct for rational numbers between $$\displaystyle \frac{4}{11}$$ and $$\displaystyle \frac{9}{16}?$$
  • $$\dfrac{4}{11}$$, $$\dfrac{67}{176}$$, $$\dfrac{79}{176}$$, $$\dfrac{9}{16}$$
  • $$\dfrac{4}{11}$$, $$\dfrac{67}{276}$$, $$\dfrac{79}{176}$$, $$\dfrac{9}{16}$$
  • $$\displaystyle \frac{4}{11}, \frac{17}{38}, \frac{13}{27}, \frac{22}{43},  \frac{9}{16}$$
  • $$\displaystyle \frac{4}{11}, \frac{27}{38}, \frac{13}{27}, \frac{22}{43},  \frac{9}{16}$$
Simplify:
$$5\sqrt{2} -\sqrt{98}+\sqrt{162}$$
  • $$7\sqrt{2}$$
  • $$6\sqrt{2}$$
  • $$3\sqrt{2}$$
  • none
If $$\displaystyle \frac{\sqrt{3}-1}{\sqrt{3}+1} = a+b \sqrt{3}$$, find the values of $$a$$ and $$b$$.
  • $$a =2, b= -1$$
  • $$a =2, b= 1$$
  • $$a =-2, b= -1$$
  • $$a =-2, b= 1$$
Simplify:
$$4\sqrt{8} + 4\sqrt{2} - 3\sqrt{2}$$
  • $$6\sqrt{2}$$
  • $$4\sqrt{2}$$
  • $$9\sqrt{2}$$
  • $$5\sqrt{2}$$
Simplify:
$$7\sqrt{5} - 4\sqrt{5}+\sqrt{125}$$
  • $$3\sqrt{5}$$
  • $$4\sqrt{5}$$
  • $$5\sqrt{5}$$
  • $$8\sqrt{5}$$
Find the nine rational numbers between $$0$$ and $$1$$.
  • $$0.1,0.2,0.3, ... ,0.9$$
  • $$ 1.1,0.2 ,10.3, ... ,0.9$$
  • $$0.1,0.2,0.3, ... ,20.9 $$
  • $$0.1 , 0.2 , 10.3 , ... , 0.9 $$
There can be a pair of irrational numbers whose sum is rational 

Such as: $$\displaystyle 3-\sqrt{2}$$ and $$\displaystyle 5+\sqrt{2}$$
  • True
  • False
0:0:1


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