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If x denotes the digit at hundreds place of the number $\overline{67x19}$ such that the number is divisible by 11. Find possible values of x.

Ted was now curious to find the largest number. He asked $1$, “Who is the largest number here?” $1$ replied, “I don’t know, ask $2$.”
Ted went to $2$ who told him to ask $3$. Similarly, every number asked Ted to ask the next greater number. After asking a lot of numbers he realized:

Population of 3 cities in two different years is shown in the following graphs.

The country which has highest population growth from 1675 to 2015 is _________.

A square has -

A car's number plate was to be painted equally in blue and red as shown in the figure. What will be the total cost of painting the car's number plate if red paint costs Rs 2 per $c{m}^2$ and blue paint costs Rs 1 per $c{m}^2$?

Find the HCF of the two numbers 132 and 165.

The below question consists of a combination of numbers and followed by four alternatives (a), (b), (c) and (d). Choose the alternative which is closely resembles the mirror image of the given combination.

Question 6
In a bar graph, the width of bars may be unequal.

Question 7 (g)

Write as a fraction in the lowest term:

0.066

The sum of $3a^{2}b$, $3a^{2}b$ and $4a^{2}b$ is

If the radii of the ends of a bucket 45 cm high are 28 cm and 7 cm respectively. The total surface area of the bucket is:

A polygon is said to be regular, if all its

If A = {x : x = $n^2,n\in N,n\le 4\}$, then which of the following statements are correct?

Which of the following parts of a circle are formed with an arc and a chord?

Convert $\frac{2}{4}$ to its simplest form

How many intersecting lines are there in a triangle?
___

Kate recently read an article referring to environment pollution and thought of planting a couple of trees with the help of her friends. She wants to plant 15 oak trees, 27 pine trees and 9 teak trees but in equal number of rows that is each row will have 1 type of tree and all the trees will be planted in equal number of rows. What will be the maximum number of trees in 1 row and determine the total number of rows needed to plant all the trees?

Two numbers are co prime and their LCM is 4940 .if one of the numbers is 65, find the other number

Using Euler's formula, find the unknown. [4 MARKS]

$\begin{array}{cccc}\text{Faces}& ?& 5& 20\\ \text{Vertices}& 6& ?& 12\\ \text{Edges}& 12& 9& ?\end{array}$

The total cost of chocolates purchased by Sabu is ₹68.25. If the cost of one chocolate is ₹3.25. How many chocolates did Sabu purchase?

If the original size of an image is $540\times 680$, which of the following image sizes cannot be achieved, ensuring there is no deformation in the picture?

Which of the following should be the FIRST sentence after rearrangement?

Question 17

State if the statement is true or false

A farmer who wants to fence his field, must find the perimeter of the field.

Question 89

Draw a line segment of length 10 cm. Divide it into four equal parts. Measure each of these parts.

Which of the following are the common factors of 12 and 27?

Write the number whose successor is -199.

Question 4 (a)

Write the following as decimal:

$20+9+\frac{4}{10}+\frac{1}{100}$

Question 100

If 12 shirts of equal size can be prepared from 27 m cloth, what is the length of cloth required for each shirt?

Rishi measured a string with the scale he has in his pencil box and found out that it was 225 cm long. What is the length in meters?

The sum of interior angles of a polygon of n sides = _______.

Difference between solid and plane figure

Question 1

The product of the place values of two 2’s in 428721 is
(A) 4
(B) 40000
(C) 400000
(D) 40000000

Statement 1: Bar Graph is a graph in which data is represented using rectangles.

Statement 2: Width of each rectangle represents the frequency.

Question 2 (c)

Represent the following numbers as integers with appropriate signs.

A deposit of rupees two hundred.

An exterior angle of a triangle is ${105}^{\circ }$ and its two interior opposite angles are equal. Find the value of equal angle.

0.007+8.5+30.08 = _____

As per the adjoining pictograph, the maximum number of Flags were sold in ________.

Simplify the following:

$\left(i\right)(a^2+b^2+c^2)(2a+3b)$

$\left(ii\right)(p+q)(p^2-pq+q^2)$ [1 MARK]

Form the greatest 7 digit number using the digits 8, 0, 6, 5, 3, 4 and 1 without repeating the digits

The perimeter of following rectangle can be expressed as:

Sum of the observations divided by the number of observations is called as _____

Solve:

$\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$

The temperature of Delhi was 36^oC, Kolkata was at 24^oC, Bangalore was at 20^oC. Patna on the other hand was at 2^oC, Shillong at -2^oC and Srinagar was at 0^oC. Which city is the coolest?