MCQ Test of Class 10, Mathematics & Mathematics class 10 Number Systems - Study Material
Question 1 :
Rationalise the denominator in $\frac{4}{\sqrt{3}}$ and hence evaluate by taking $\sqrt{2}$=1.414, $\sqrt{3}$=1.732 and $\sqrt{5}$= 2.236, upto three places of decimal.
Question 2 :
What is the value of the following equation after simpification?
$\left(\sqrt{3}-\sqrt{2}\right)^2$
Question 3 :
What is the value of the following equation after simplifiation?
$\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^3\right]^{\frac{1}{4}}$
Question 5 :
Are there two irrational numbers whose sum and product both
are rationals?
Question 6 :
Rationalise the denominator in $\frac{\sqrt{10}-\sqrt{5}}{2}$ and hence evaluate by taking $\sqrt{2}$=1.414, $\sqrt{3}$=1.732 and $\sqrt{5}$= 2.236, upto three places of decimal.
Question 15 :
What is the value of the following equation after simpification?
$\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}$
Question 16 :
What is the value of the following equation after simpification?
$\sqrt[4]{12}\times\sqrt[7]{6}$
Question 17 :
The square of an irrational number is always rational. State True or False.
Question 19 :
What is the value of the following equation after simpification?
$3\sqrt{3}+2\sqrt{27}+\frac{7}{\sqrt{3}}$
Question 20 :
What is the value of the following equation after simpification?
$\sqrt{45}-3\sqrt{20}+4\sqrt{5}$
Question 21 :
How will be $0.1\overline{34}$ represented in the form of $\frac{p}{q}$, where p and q are integers and $q\ne0$?
Question 22 :
What will be the value of a in the following equation?
$\frac{6}{3\sqrt{2}-2\sqrt{3}}=3\sqrt{2}-a\sqrt{3}$
Question 23 :
Rationalise the denominator in $\frac{6}{\sqrt{6}}$ and hence evaluate by taking $\sqrt{2}$=1.414, $\sqrt{3}$=1.732 and $\sqrt{5}$= 2.236, upto three places of decimal.
Question 25 :
The number of rational numbers between 15 and 18 finite.State True or False.
Question 26 :
The value of 1.999... in the form $\frac{p}{q}$, where p and q are integers and q ≠ 0 , is
Question 27 :
If $\sqrt{2}$=1.414, $\sqrt{3}$=1.732, then what will be the value of $\frac{4}{3\sqrt{3}-2\sqrt{2}}+\frac{3}{3\sqrt{3}+2\sqrt{2}}$?
Question 28 :
State true or false: A number which cannot be expressed in the form $\frac{p}{q}$ (where p and q are integers and $q\ne0$) is called an irrational number.
Question 29 :
What is the value of the following equation after simpification?
$\left(\frac{3}{5}\right)^4\left(\frac{8}{5}\right)^{-12}\left(\frac{32}{5}\right)^6$
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