Question 1 :
Commutative property in rational numbers is not satisfied with respect to which one of the following operations?

Question 4 :
$x$ is additive identity of <span>rational numbers</span>.Then the value of x is<br/>

Question 6 :
Fill in the blank: $(-12) + \left (4 + \dfrac {1}{8}\right ) = [(-12) + .....] + \dfrac {1}{8}$

Question 9 :
Which of the following expressions shows that rational numbers are associative under multiplication ?

Question 11 :
Find the missing value: $-61 + ....... = \dfrac {2}{3} + (-61)$

Question 12 :
<span>The property under multiplication used in each of the following.</span><div><br/></div><div>$\dfrac{-4}{5}\times 1 = 1 \times\dfrac{-4}{5}= -\dfrac{4}{5}$</div>

Question 13 :
State whether the following statement is true/ false?<br/>$-5/7$ is the additive inverse of $5/7$.

Question 14 :
State whether the following statement is true/ false?<br/>$0$ is the additive inverse of its own.

Question 15 :
Find the missing value: $\dfrac {-5}{6} + \dfrac {19}{11} = ..... + \dfrac {-5}{6}$

Question 16 :
The multiplicative inverse of ........ and ......... are the numbers themselves.

Question 17 :
If $x + 0 = 0 + x = x,$ which is rational number, then $0$ is called

Question 19 :
State whether the following statement is true/ false?<br/>Commutative property holds for subtraction of rational numbers.

Question 20 :
Fill the blank spaces: $....... + \dfrac {3}{7} = ...... + \dfrac {3}{8}$

Question 26 :
The sum of two rational numbers is $-5$. If one of the numbers is $\dfrac {-3}{5}$, find the other number

Question 27 :
$\dfrac {3x}{y}\times 1 = ..........$ is stated by multiplicative identity property.

Question 29 :
Fill in the blank: $\dfrac {2}{3} \times \left (-6 \times \dfrac {4}{5}\right ) = [ ..... \times -6] \times ....$

Question 30 :
The sum of an integer and its additive inverse is always .........

Question 31 :
There are ....... rational number which when multiplied by $0$, gives product as $1.$

Question 33 :
If D be subset of `the set of all rational numbers, which can be expressed as terminating decimals, then D is closed under the binary operations of<br>

Question 34 :
The product of ........... and any rational number is the rational number itself.

Question 35 :
<span>Say true or false<br/>The distributive property can work if there is multiplication or division inside the parentheses</span>

Question 36 :
A student divided a number by two when he was required to multiply it by 2. The answer he got was 2. The correct answer should have been

Question 37 :
The decimal representation of $\dfrac { 93 }{ 1500 }$ will be

Question 39 :
State whether the following statement is true/ false?<br/>The associative property does not hold for subtraction of rational numbers.

Question 41 :
Write the additive inverse of each of the following rational numbers:<br/>$\displaystyle\frac{4}{9}$; $\displaystyle\frac{-13}{7}$; $\displaystyle\frac{5}{-11}$; $\displaystyle\frac{-11}{-14}$

Question 43 :
The number with which when $82$ is multiplied product remains the same.

Question 45 :
If .............. is excluded from the collection of rational numbers, then they are closed under division.

Question 46 :
Which property is depicted by $\dfrac {1}{2} \times \left (6\times \dfrac {4}{3}\right ) = \left (\dfrac {1}{2} \times 6 \right )\times \dfrac {4}{3}$?

Question 47 :
If A: rational numbers are always closed under division and R: division by zero is not defined, then.

Question 48 :
Which of the following rational number does not have a reciprocal?

Question 50 :
A rational number whose product with a given rational number is equal to a rational number

Question 53 :
Answer the question based on the information given in the following table A,B, C, D, E denote companies and 2006, 2007, 2008, 2009 and 2010 denote years.<br>Number of units manufactured(M) and Number of units sold (s)(in hundred) by five different companies over the years.<br><table class="wysiwyg-table"><tbody><tr><td></td><td>A</td><td>A</td><td>B</td><td>B</td><td>C</td><td>C</td><td>D</td><td>D</td><td>E</td><td>E</td></tr><tr><td><br></td><td>M</td><td>S</td><td>M</td><td>S</td><td>M</td><td>S</td><td>M</td><td>S</td><td>M</td><td>S</td></tr><tr><td>$2006$</td><td>$2.8$</td><td>$1.3$</td><td>$3.3$</td><td>$2.2$</td><td>$2.6$</td><td>$1.7$</td><td>$3.0$</td><td>$2.2$</td><td>$1.9$</td><td>$1.4$</td></tr><tr><td>$2007$</td><td>$3.2$</td><td>$2.0$</td><td>$2.4$</td><td>$1.6$</td><td>$2.2$</td><td>$1.5$</td><td>$2.5$</td><td>$1.9$</td><td>$2.0$</td><td>$1.7$</td></tr><tr><td>$2008$</td><td>$1.9$</td><td>$0.9$</td><td>$2.9$</td><td>$1.6$</td><td>$2.1$</td><td>$1.0$</td><td>$2.3$</td><td>$1.5$</td><td>$1.6$</td><td>$1.1$</td></tr><tr><td>$2009$</td><td>$1.0$</td><td>$0.4$</td><td>$2.4$</td><td>$1.3$</td><td>$2.8$</td><td>$1.4$</td><td>$2.1$</td><td>$1.2$</td><td>$3.2$</td><td>$2.5$</td></tr><tr><td>$2010$</td><td>$2.5$</td><td>$1.5$</td><td>$2.3$</td><td>$1.2$</td><td>$2.6$</td><td>$2.1$</td><td>$1.8$</td><td>$1.1$</td><td>$3.1$</td><td>$2.6$</td></tr></tbody></table><br>What is the average number of units sold by company D over all the years together?<br>

Question 55 :
In the formula for mode of a grouped data, mode $=l+\left \{\dfrac {f_1-f_0}{2f_2-f_0-f_2}\right \}\times h$, where symbols have their usual meaning $f_0$ represents<br/>

Question 56 :
Consider the class intervals 1-10, 11-20, 21-30, etc Here what is the class boundary of class interval 11-20?

Question 57 :
A train travels first 300 km at an average rate of 30 km per hour and further travels the same distance at an average rate of 60 km per hour then the average speed over the whole distance is

Question 58 :
The weights $(in\ \text{kg})$ of $8$ new born babies are $3,\ 3.2,\ 3.4,\ 3.5,\ 4,\ 3.6,\ ,4.1,\ 3.2$ Find the mean weight of the babies.

Question 61 :
<span>Emmy did a survey of how many games each of $20$ friends owned, and got the following data: $5, 7, 12, 13, 4, 6, 8, 12, 9, 16, 13, 12, 5, 13, 7, 17, 3, 9, 12, 14.$ Find the mean.</span><br/>

Question 62 :
The age of $13$ school students are listed below. Find the median.<br/>$12, 9, 8, 13, 15, 14, 6, 18, 7, 11, 9, 14, 10$<br/>

Question 64 :
If mean of given data is 21 then value of p is <br><table class="wysiwyg-table"><tbody><tr><td>x</td><td>10</td><td>15</td><td>20</td><td>25</td><td>36</td></tr><tr><td>f</td><td>6</td><td>10</td><td>p</td><td>10</td><td>8</td></tr></tbody></table>

Question 65 :
The average of 25 results is 18 The average of first twelve of them is 14 and that of last twelve is 17 the thirteenth result is

Question 66 :
Fill in the blank:<br>_________ can also defined as the sum of all previous frequencies up to the current point.

Question 67 :
If the mean of $x,x+2,x+4,x+6$ and $x+8$ is $1$, what is the average of the last three numbers?

Question 70 :
The sum of $12$ observations is $600$, then their mean is _____

Question 72 :
A cricket player scored the following runs in $11$ one-day international matches:<br/>$65$, $30$, $7$, $60$, $65$, $65$, $30$, $28$, $30$, $15$, $30$ Find the modal runs. <br/>

Question 73 :
Construction of a cumulative frequency table is useful in determining the

Question 74 :
What is the cumulative frequency of number of students in a class $8-10$?<br/><table class="wysiwyg-table"><tbody><tr><td>class<br/></td><td>2-4<br/></td><td>4-6<br/></td><td>6-8<br/></td><td>8-10<br/></td><td>10-12<br/></td></tr><tr><td>number of students<br/></td><td>20<br/></td><td>12<br/></td><td>15<br/></td><td>17<br/></td><td>19<br/></td></tr></tbody></table>

Question 77 :
<span>If different values of variable x are $9.8, 5.4,3.7,1.7, 1.8,2.6,2.8,8.6,10.5 $ and $11.1$, find </span>the mean $\bar{x}$ <br/>

Question 78 :
The cumulative frequency of first group in more than cumulative frequency distribution is always equal to<br>

Question 81 :
From the following table, what was the value of the cumulative price for the product blue-tooth?<br/><table class="wysiwyg-table"><tbody><tr><td>Product<br/></td><td>Price<br/></td></tr><tr><td>phone<br/></td><td>120<br/></td></tr><tr><td>tablet<br/></td><td>200<br/></td></tr><tr><td>blue-tooth<br/></td><td>90<br/></td></tr></tbody></table><br/>

Question 82 :
The attendance of a class of 45 boys for 10 days is given as 40, 30, 35, 45, 44, 41, 38, 44 and 41 then the mean attendance of a class is

Question 83 :
The weights in kilogram of 9 members in a school boxing team are 54, 59, x, 53, 73,49, 50, 58, 45 If the average is 56 then x is

Question 84 :
The daily sale of milk (in litres) in a ration shop for eight days is as follows-<br>$60, 40, 10, 40, 4, 70, 30$ and $10$. The average daily sale is-

Question 85 :
Convert the following data into grouped frequency table. Find the total frequency:<br/>$2, 3, 4, 12, 11, 2, 4, 3, 15, 15, 16, 2, 3, 20, 20$<br/>

Question 90 :
The ______ frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors.

Question 91 :
If the median of $\displaystyle \frac{x}{5}$ $\displaystyle x$ $\displaystyle \frac{x}{4}$ $\displaystyle \frac{x}{2}$ and $\displaystyle \frac{x}{3}$ $\displaystyle \left ( where\, x&gt; 0 \right )$ is $8$ then the value of $x$ would be

Question 93 :
Mode of the distribution is that value of the variate for which the_____is_____

Question 95 :
The mean of $20$ observations is $12.5$. By error, one observation was noted as $-15$ instead of $15$. Then the correct mean is __________.

Question 96 :
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by chilkdren. What measure of central tendency would be most appropriate if the data is provided to him?

Question 97 :
A student got marks in $5$ subjects in a monthly test is given below: $2, 3, 4, 5, 6$.<div>In these obtained marks, $4$ is the<br/></div>

Question 98 :
The ______ is the middle element when the data set is arranged in order of the magnitude.

Question 100 :
If in a data, $10$ numbers are arranged in increasing order. If the $7th$ entry is increased by $4$, then the median increase by