Question 1 :
The diagram used to estimate mode of continuous frequency distribution graphically is _____

Question 2 :
A student represents his scores in Mathematics Statistics and Economics in a pie chart The central angle for Mathematics is $\displaystyle 120^{\circ}$ He scored $96$ in Statistics and $84$ in Economics The central angle for Statistics is?

Question 3 :
Given the following stem-and-leaf plot and the statements shown below the plot, which of the statements are true?<br/>The number of customers in line for an attraction<br/>$2|2\ 2\ 2\ 2\ 4\ 7$<br/>$3|1\ 2\ 2\ 3\ 5\ 6\ 7$<br/>$4|5\ 7\ 7$<br/>$5|0\ 1\ 1\ 1$<br/>Where $3|6$ means $36$ customers<br/>I. The mode is equal to the median<br/>II. The median is less than the mean<br/>III. The mean is $33$

Question 4 :
A coin is tossed $100$ times and tail is obtained $10$ times. Now, if a coin is tossed at random, what is the probability of getting a head?<br/>

Question 5 :
The following data gives the distribution of monthly expenses under different heads.<table class="wysiwyg-table"><tbody><tr><td>Type of Commodity<br></td><td>Expenditure (in rupees)</td></tr><tr><td>Food</td><td>$300$</td></tr><tr><td>Rent</td><td>$200$</td></tr><tr><td>Clothes</td><td>$125$</td></tr><tr><td>Education</td><td>$110$</td></tr><tr><td>Miscellaneous</td><td>$75$</td></tr><tr><td>Savings</td><td>$90$</td></tr></tbody></table>A pie chart is drawn for the above data, the angle subtended at the centre for the item 'Rent' will be<br>

Question 6 :
If $35\%$ of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be

Question 12 :
If the compound interest on a certain sum of money for 2 years is Rs.2,700 and the simple interest on the same sum for the same period is Rs.2,500, the rate of interest will be

Question 13 :
The maximum retail price (MRP) of a product is $55\%$ above its manufacturing cost. The product is sold through a retailer, who earns $23\%$ profit on his purchase price. What is the profit percentage for the manufacturer who sells his product to the retailer? The retailer gives $10\%$ discount on MRP.

Question 14 :
The population of town $A$ is $96,000$ more than town $B$. If $62,000$ people move from town $B$ to town $A$, the ratio between the population of town $A$ and that of town $B$ will be $11:1$. Find the original population of the two towns.<br><br><br>

Question 15 :
The marked price of an article is Rs. 18,000&#160;and is available in Delhi at 30% discount. A&#160;shopkeeper from Bhopal buys this article in&#160;Delhi and spends Rs.&#160;950 on his travelling and Rs. 450 on the transportations etc. of the article.&#160;Find the profit per cent made by the&#160;shopkeeper, if he sells the article at Bhopal at&#160;the marked price.

Question 16 :
Puma shoes are how much percent more than the Nike Shoes?

Question 17 :
A town's population increased by $1200$ people, and then this new population decreased $11$%. The town now had $32$ less people than it did before the $1200$ increase. Find the original population.

Question 18 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(10m , 5n)$

Question 19 :
State true or false: $(p – q) (p^2 + pq + q^2) = p^3 + q^3$

Question 21 :
Using the Identity (III) - $(a+b)(a-b) = a^2 - b^2$ ,find $194 \times 206$

Question 22 :
Use a suitable identity to get the following product : $\left(\frac{x}{2}+\frac{3y}{4}\right)\left(\frac{x}{2}+\frac{3y}{4}\right)$

Question 23 :
The cost of a chocolate is Rs (x + 4) and Rohit bought (x + 4) chocolates. Find the total amount paid by him in terms of x.