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Melanie has drawn a card from a well-shuffled deck of $52$ cards. What is the probability of drawing a card either being red or a king?

Read the information carefully to answer the given question:

i. ‘P + Q’ means ‘P is the father of Q’.
ii. ‘P - Q’ means ‘P is the mother of Q’.
iii. 'P $\times$ Q' means ‘P is the brother of Q’.
iv. 'P $÷$ Q' means ‘P is the sister of Q’.
Which of the following means 'M is maternal uncle of T'?

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

How many 6-digits numbers can be formed by using digits 5, 5, 6, 8, 8, 9?

A car covers a distance of 72 kms in 3 hours. The distance covered in 5 hours is ____ kms.

The amount of water required by a paddy sapling for growth is $\left[\right(15÷5{)}^3-(7+12)]\times 6$ mL
= mL

Which number(s) must be subtracted from $4070$ to make it divisible by $8?$

Question 5

What is the greatest prime number between 1 and 10?

In the adjoining figure, $p\parallel q$. Find the unknown angles. [4 MARKS]

Srikanth is buying vegetables for the festival at home. He buys a bag of 10 lb of vegetables that costs 5500 cents. What is the cost of 1 lb of vegetables ?

Represent the following using a letter:

Four multiplied by a number is 36.

Which value of $a$ would satisfy the algebraic equation $a+5+(-4)=12?$

Question 45

Answer True/False.

If $x$ is a negative integer, $-x$ is a positive integer.

The perimeter of a rectangle is 40 cms. Can you find the length of the rectangle if its breadth 8 cms?

Choose the correct option, using the following number line:

Simplify: 50 - [30 - {15 - (8 - 4)}]

Two manufacturers Ram and Shyam manufacture only three wooden items; bed, table and sofa. The sales (in rupees) of these three items by both of manufacturers in months of June and July are given by the following matrices $A$ and $B$ respectively.



Sale in June

$\begin{array}{ccccccc}& & & \text{Bed}& \text{Table}& \text{Sofa}& \end{array}A=\left[\begin{array}{ccc}5000& 10000& 15000\\ 25000& 15000& 5000\end{array}\right]\begin{array}{c}\text{Ram}\\ \text{Shyam}\end{array}$



Sale in July

$\begin{array}{ccccccc}& & & \text{Bed}& \text{Table}& \text{Sofa}& \end{array}B=\left[\begin{array}{ccc}2500& 5000& 3000\\ 10000& 5000& 5000\end{array}\right]\begin{array}{c}\text{Ram}\\ \text{Shyam}\end{array}$



If both manufacturers receive $2\%$ profit on gross sale, then profit of both manufacturers for each item in July is given by



[2 marks]

1. 2

Which of the following indicates the ratio of the rectangle to the pentagon?

Question 5 (f)

Construct with ruler and compasses, angles of following measures:
${135}^{\circ }$

Batsman 'A' scored the following number of runs in six innings
36, 35, 50, 46, 60, 55

Batsman 'B' scored the following number of runs in six innings
20, 100, 50, 35, 10, 45

Calculate the mean runs scored by them in an inning. Whose average run scored is better? [3 MARKS]

The measure of an interior angle of a regular polygon is 140^o. The number of sides and diagonals in this polygon are:

Identify x on the number line in the given figure.

A car can travel 30 kms, consuming 2 litres of fuel. The distance that can be covered with 7 litres of fuel is ___ kms.

गप्प, गप-शप, गप्पबाज़ी क्या इन शब्दों के अर्थ में अंतर है? तुम्हें क्या लगता है? लिखो।

Locate circumcentre of the triangle shown below.

Question 16

Fill in the blanks to make each statement true:

In a linear equation, the ................ power of the variable appearing in the equation is one.

1. 4

The factors of 72 are __________________.

Steve conducts a survey in 15 villages of a locality and finds out the number of teachers in each village. The observations are as follows:

3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 1. Which is the correct frequency table?

What $\%$ of 200 is 50?

Match the following:

$\begin{array}{cc}\text{a. Interior angles on the same}\text{side of the transversal}& \text{(i) 1 – 5, 2 – 6, 3 – 7 and 4 – 8}\\ \text{b. Alternate exterior angles}& \text{(ii) 4 – 6, 3 – 5}\\ \text{c. Corresponding angles}& \text{(iii) 1 – 7, 2 – 8}\\ \text{d. Alternate interior angles}& \text{(iv) 3 – 6, 4 - 5}\end{array}$

Madhavi eats $\frac{1}{4}$ of a chocolate divided into $20$ parts. Then she divides another one in $5$ equal parts and eats $3$ of them. What is the total fraction of chocolates that she has eaten?

Product of two numbers is 375. If their L.C.M is 75, find their H.C.F.