Question 1 :
The property under multiplication used in each of the following is the <br/>$\dfrac{-19}{29}\times\dfrac{29}{-19}=1$<br/>
Question 2 :
Out of the following numbers, which cannot be represented on a number line?<br>$0, \dfrac56, 1, \dfrac24$
Question 4 :
The number with which when $82$ is multiplied product remains the same.
Question 8 :
The product of ........... and any rational number is the rational number itself.
Question 9 :
Which of the following rational numbers lies between $\dfrac {3}{2}$ and $4$ ?
Question 10 :
Which of the following numbers lies between $2\dfrac {1}{7}$ and $3\dfrac {1}{7}$?
Question 11 :
........... is the additive inverse of $(-x)$, where $(-x)$ is an integer.
Question 12 :
State whether the following statement is true/ false?<br/>$-5/7$ is the additive inverse of $5/7$.
Question 13 :
The rational number which is not lying between $\displaystyle\frac{5}{16}$ and $\displaystyle\frac{1}{2}$ is _________.
Question 14 :
State true or false:<br/>Ten rational numbers between $\dfrac{3}{5}$ and $\dfrac {3}{4}$ are <br/>$\displaystyle\frac{97}{160},\frac{98}{160},\frac{99}{160},\frac{100}{160},\frac{101}{160},\frac{102}{160},\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}$<br/>
Question 16 :
State True or FalseIs $\displaystyle \frac {8}{9}$ the multiplicative inverse of $ -1 \displaystyle \frac {1}{8}$ ?<br/>
Question 18 :
Which of the following rational number does not have a reciprocal?
Question 19 :
The rational number between the pair of number $\dfrac{1}{2}$ and $\sqrt 1$ is:
Question 20 :
Name the property of rational numbers illustrated by the given statement. $\displaystyle\frac{-3}{2}\times \frac{5}{4}+\frac{-3}{2}\times \frac{-7}{6}=\frac{-3}{2}\times \left(\displaystyle\frac{5}{4}+\frac{-7}{6}\right)$.
Question 24 :
The rational number lying exactly in between the numbers $\displaystyle \frac { 1 }{ 5 } $ and $\displaystyle \frac { 1 }{ 3 } $ is
Question 26 :
If a, b, c are rational numbers, then associativity of rational numbers under addition is given by
Question 27 :
A train of length 180 m crosses a man standing on a platform in 12 seconds and cross another train coming from opposite direction in 12 sec. If the second train running at 2/3 rd speed of the firstthen find the length of the second train?
Question 31 :
Five real numbers $x_1, x_2, x_3, x_4, x_5$ are such that: $\sqrt {x_1-1}+2\sqrt {x_2-4}+3\sqrt {x_3-9}+4\sqrt {x_4-16}+5\sqrt {x_5-25}=\dfrac {x_1+x_2+x_3+x_4+x_5}{2}$<br>The value of $\dfrac {x_1+x_2+x_3+x_4+x_5}{2}$ is<br>
Question 32 :
Study the following statements.<br><b>Statement - 1 : </b>Rational numbers are always closed under division.<br><b>Statement - 2 :</b> Division by zero is not defined.<br>Which of the following options hold?
Question 33 :
Which of the following rational numbers lies between $\dfrac {3}{4}$ and $\dfrac {13}{8}$?
Question 34 :
Which of the following statement istrue about a rational number $\displaystyle \frac{-2}{3}$ ?
Question 38 :
$G$ is a set of all rational numbers except $-1$ and $\ast $ is defined by $a\ast b=a+b+ab$ for all $a,b\in G$, in the group $\left( G,\ast \right) $, the solution of ${ 2 }^{ -1 }\ast x\ast { 3 }^{ -1 }=5$ is
Question 39 :
For any two real number, an operation defined by $a* b= 1 +ab$ is.<br/>
