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

Which one of the following has a terminating decimal expansion?
  • $$\displaystyle\frac{5}{32}$$
  • $$\displaystyle\frac{7}{9}$$
  • $$\displaystyle\frac{8}{15}$$
  • $$\displaystyle\frac{1}{12}$$
Solve : $$(16)-(14\sqrt{2})$$
  • $$(2\sqrt{2})$$
  • $$2$$
  • $$(10\sqrt{2})$$
  • $$(16-14\sqrt{2})$$
Simplify: $$(\sqrt{3}) +  (5\sqrt{3}) - (8\sqrt{3}) + (10\sqrt{3})$$
  • $$24\sqrt{3}$$
  • $$8\sqrt{3}$$
  • $$12\sqrt{3}$$
  • $$16\sqrt{3}$$
Simplify: $$(9\sqrt{3}) +  (5\sqrt{3})  - (10\sqrt{2}) - (2\sqrt{2})$$
  • $$(\sqrt{6})$$
  • $$(14\sqrt{3})-(8\sqrt{2})$$
  • $$(14\sqrt{3})-(12\sqrt{2})$$
  • $$(2\sqrt{6})$$
State if the following statement is true or false.
7.4848.. is an irrational number.
  • True
  • False
Simplify : $$\dfrac{(36\sqrt{2})}{\sqrt{3}}$$
  • $$12\sqrt{6}$$
  • $$12\sqrt{2}$$
  • $$12\sqrt{3}$$
  • $$36\sqrt{6}$$
Which of the following irrational number lies between $$2.5$$ and $$2.6$$?
  • $$2.512$$
  • $$2.77321$$
  • $$2.5333...$$
  • $$2.5135145...$$
Solve: $$(16\sqrt{2})\times(14\sqrt{2})$$
  • $$224$$
  • $$224\sqrt{2}$$
  • $$448$$
  • $$448\sqrt{2}$$
What is the conjugate of the binomial surd $$5 + \sqrt {3}$$
  • $$5 - \sqrt {3}$$
  • $$3 + \sqrt {5}$$
  • $$\sqrt{5} + \sqrt {3}$$
  • $$\sqrt{5} - \sqrt {3}$$
The product of $$\sqrt x + 2\sqrt y$$ with its conjugate is?
  • $$x + 4y$$
  • $$x - 4y$$
  • $$x+2y$$
  • $$x-2y$$
The conjugate of $$\sqrt x - \sqrt y$$ is?
  • $$\sqrt x +y$$
  • $$\sqrt x + \sqrt y$$
  • $$x + \sqrt y$$
  • $$x - y$$
The conjugate of $$3 + \sqrt 5$$ is?
  • $$3 - \sqrt 5$$
  • $$\sqrt 3 + 5$$
  • $$\sqrt 3 +\sqrt 5$$
  • $$\sqrt 3 - 5$$
$$\dfrac {1}{2} + \sqrt {2}$$ is a conjugate of?
  • $$\dfrac {1}{2} + {2}$$
  • $${2} + \sqrt {2}$$
  • $$\dfrac {1}{2} - \sqrt {2}$$
  • $$\dfrac {1}{\sqrt2} + \sqrt {2}$$
$$3\sqrt {7} + 7\sqrt {3}$$ is a conjugate of?
  • $$7 + 3\sqrt {7}$$
  • $$7\sqrt {3} - 3\sqrt {7}$$
  • $$7\sqrt {3} + 3\sqrt {7}$$
  • $$3\sqrt {7} - 7\sqrt {3}$$
 The conjugate of the binomial surd $$10\sqrt {2} + 3\sqrt {5}$$ is
  • $$10\sqrt {5} -3\sqrt {2}$$
  • $$10\sqrt {5} + 3\sqrt {2}$$
  • $$10\sqrt {2} - 3\sqrt {5}$$
  • $$-10\sqrt {5} + 3\sqrt {2}$$
State whether the following statement is True or False
$$x + 3\sqrt y$$ and $$\sqrt x -3y$$ are conjugate pairs
  • True
  • False
What is the rationalizing factor of $$\dfrac {1}{\sqrt2 - 1}$$?
  • $$1-\sqrt2$$
  • $$2 + \sqrt2$$
  • $$\sqrt2+1$$
  • Both $$A$$ and $$B$$
State whether the following statement is True or False.
The product of two binomial quadratic surds is always rational.
  • True
  • False
Which one of the following is a rational number?
  • $${ \left( \sqrt { 2 } \right) }^{ 2 }$$
  • $$2\sqrt { 2 } $$
  • $$2+\sqrt { 2 } $$
  • $$\cfrac { \sqrt { 2 } }{ 2 } $$
The conjugate of the binomial surd $$\dfrac {1}{2}x + \dfrac {1}{2}\sqrt {y}$$ is?
  • $$\dfrac {1}{2}x + \dfrac {1}{3}\sqrt {y}$$
  • $$\dfrac {1}{3}x + \dfrac {1}{2}\sqrt {y}$$
  • $$\dfrac {1}{2}x - \dfrac {1}{2}\sqrt {y}$$
  • $$\dfrac {1}{2}y + \dfrac {1}{2}\sqrt {x}$$
Simplify:-
$$(2\sqrt 2\times 3\sqrt 5)\div 2$$ .
  • $$3\sqrt 5$$
  • $$15$$
  • $$12\sqrt 10$$
  • $$3\sqrt 10$$
After rationalizing the numerator of $$\dfrac {\sqrt {3} - \sqrt {2}}{\sqrt {3}}$$ the denominator in simplest form is
  • $$\sqrt {3}(\sqrt {3} + \sqrt {2})$$
  • $$\sqrt {3}(\sqrt {3} - \sqrt {2})$$
  • $$3 - \sqrt {3}\sqrt {2}$$
  • $$\dfrac{1}{3 + \sqrt {6}}$$
  • None of these
The conjugate surd of $$2-\sqrt{3}$$ is ___________.
  • $$-2+\sqrt{3}$$
  • $$2-(-\sqrt{3})$$
  • $$3+\sqrt{2}$$
  • $$\dfrac{1}{2-\sqrt{3}}$$
From the pairs of number given below, whose product is a natural number?
  • $$\sqrt12 , \sqrt3$$
  • $$\sqrt4 , \sqrt3$$
  • $$\sqrt10 , \sqrt3$$
  • $$\sqrt2 , \sqrt3$$
State whether the following statement is True or False
The conjugate of $$x\sqrt {a} + y\sqrt {b}$$ is $$x\sqrt {a} - y\sqrt {b}$$
  • True
  • False
State whether the following statement is True or False
The conjugate of $$\sqrt {3} + \sqrt {2}$$ is $$\sqrt {2} - \sqrt {3}$$
  • True
  • False
Which of the following numbers has the terminal decimal representation?
  • $$\dfrac{1}{7}$$
  • $$\dfrac{1}{3}$$
  • $$\dfrac{3}{5}$$
  • $$\dfrac{17}{3}$$
Simplify: $$(-1)^{19}+(-1)^{20}+(2)^5$$
  • $$34$$
  • $$32$$
  • $$30$$
  • $$0$$
Find two rational numbers lying between $$\dfrac{-1}{3}$$ and $$\dfrac{1}{2}$$.
  • -1/6,1 /6
  • -2/3, 2/3
  • none
  • both
The rational number that lies between $$\dfrac{3}{7}$$ and $$\dfrac{2}{3}$$ is
  • $$\dfrac{2}{5}$$
  • $$\dfrac{4}{7}$$
  • $$\dfrac{3}{7}$$
  • $$\dfrac{2}{3}$$
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