CBSE Questions for Class 9 Maths Number Systems Quiz 10 - MCQExams.com

$$\sqrt 7 $$ is irrational.
  • True
  • False
Which of the following is irrational
  • $$\sqrt {\dfrac {4}{9}} $$
  • $$\dfrac {4}{5}$$
  • $$\sqrt {7}$$
  • $$\sqrt {81}$$
Simplify $$2\sqrt{5}$$ + $$10\sqrt{5}$$ + $$25\sqrt{5}$$+  $$31\sqrt{5}$$.
  • $$68\sqrt{5}$$
  • $$28\sqrt{5}$$
  • $$48\sqrt{5}$$
  • $$\sqrt{5}$$
The product of $$6\sqrt {5}$$ and $$2\sqrt {5}$$ is
  • $$30$$
  • $$60$$
  • $$50$$
  • $$12$$
Find one irrational number between 0.2101 and 0.2222.
  • $$0.2$$
  • $$0.25$$
  • $$0.22010010001..$$
  • None of these
Give an example of two irrational numbers whose sum is an irrational number.
  • $$2\sqrt{5},-2\sqrt{5}$$
  • $$\sqrt{5},-\sqrt{5}$$
  • $$2\sqrt{5},3\sqrt{5}$$
  • None of the above
Give an example of two irrational numbers whose sum is a rational number.
  • $$\sqrt{3},\sqrt{5}$$
  • $$\sqrt{5},\sqrt{6}$$
  • $$\sqrt{5},  -\sqrt{5}$$
  • None of the above 
State whether the following statement is true of false? Justify your answer.
There are numbers which can be written in the form $$\dfrac {p}{q}, q\neq 0, p, q$$ both are not integers.
  • True
  • False
Simplify:$$\dfrac{7+3\sqrt{5}}{3+\sqrt{5}}-\dfrac{7-3\sqrt{5}}{3-\sqrt{5}}$$
  • $$ \sqrt{15} $$
  • $$ \sqrt{5} $$
  • $$ \sqrt{7} $$
  • None of the above
State whether the statement is true/false.
$$8$$ can be written as a rational number with any integer as denominator.
  • True
  • False
State whether the statement is true/false.
Two rational numbers with different numerators cannot be equal.
  • True
  • False
State whether the statement is true/false.
Every rational number is a whole number.
  • True
  • False
State whether the given statement is true or false.
The sum of two irrational numbers is irrational.
  • True
  • False
$$a\times a\times b\times b\times b$$ can be written as 
  • $$a^2b^3$$
  • $$a^3b^2$$
  • $$a^3b^3$$
  • $$a^5b^5$$
Which of the following rational numbers is negative?
  • $$-\left(\dfrac{-3}{7}\right)$$
  • $$\dfrac{-5}{-8}$$
  • $$\dfrac{9}{8}$$
  • $$\dfrac{3}{-7}$$
State whether the statements given are True or False
Every negative integer is not a negative rational number
  • True
  • False

State whether the statements given are True or False

Every rational number is a whole number.
  • True
  • False
State whether the statements given are True or False
Every integer is a rational number but not every rational number need be an integer.
  • True
  • False

State whether the statements given are True or False

In a rational number, denominator always has to be a non-zero integer.
  • True
  • False
State whether the statements given are True or False
Every natural number is a rational number but not every rational number need to be natural number.
  • True
  • False

State whether the statements given are True or False                                                                         

If $$\dfrac{p}{q}$$ is a rational number and m is a non-zero integer, then $$\dfrac{p}{q}=\dfrac{p\times m}{q\times m}$$
  • True
  • False

State whether the statements given are True or False

Every fraction is a rational number.
  • True
  • False
State whether the statements given are True or False
Zero is a rational number  
  • True
  • False
State whether the statements are true (T) or false (F).
The population of India in $$2004-05$$ is a rational number.
  • True
  • False
State whether the statements are true (T) or false (F).
Every whole number is a rational number.
  • True
  • False
State whether the statement is true (T) or false (F).
$$0$$ is a whole number but it is not a rational number.
  • True
  • False
State whether the statements are true (T) or false (F).
0 is a rational number.
  • True
  • False
A number of the form $$\dfrac{p}{q}$$ is said to be a rational number if
  • p and q are integers
  • p and q are integers and $$q \neq 0$$
  • p and q are integers and $$p \neq 0$$
  • p and q are integers and $$p \neq 0$$ also $$q \neq 0$$
$$(-4)^{4}\times (4)^{1}=(4)^{5}$$
  • True
  • False
$$\left(-\dfrac{8}{2}\right)^{0}=0$$
  • True
  • False
0:0:1


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