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Question 53

In the following question, state whether the given statement is true (T) or false (F).
The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once, is 9760.

What is the meaning of diagonal?

The vertices D and E are ............ .

'We didn't get anything. Can you explain in detail please??'One of the mathematicians shouted. Suddenly you got an idea to explain them the concept of integers by drawing figures. You drew 5 figures which represented different groups of numbers as:

Then you drew one of these pictures to show them the concepts of integers. Which one of these depict everything correctly?

Draw a circle with radius $4cm$ and center P. Draw another circle of same radius and with center at Q such that it intersects the previous circle. Join PQ. Now join the points of intersection and name this line segment as AB. Mark the point of intersection of AB and PQ as O.
$\angle$AOP = __

What will be the divisor when 38 is divided by 9?

In the following triangle, the measure of C.

$3a9$ is divisible by 9 if the digit ${}^{\prime }{a}^{\prime }$ is equal to:

Rumi went to the market with ₹10000. She bought a saree for ₹1375, a pair of shoes for ₹1155 and a shawl for ₹.1285. How much money is left with her? Round it off to the nearest thousands and write the answer.
___

61.2 $÷$ 3.6 = P. What is the value of P - 12.33?

Solve the equation : x - 9 = 15

The length breadth height of room are 825cm 675cm and 450cm respectively find the longest tape which can measure the three dimensions of the room exactly

Roman Numeral of 100 is ______ .

A number is multiplied by 4. The result obtained is divided by 2 and the final answer is 50. Find the number.

Roman Numeral of 99 is

Identify the hypotenuse of the right-angled triangle ABC.

Two tankers have rhe capacity of 350 litres and 660 litres of milk. What will be the capacity of a container that can contain both the amounts exactly?

The area of each square in the given figure is 4 cm². The perimeter of the whole figure is ___.

The estimation of the product of 52 and 188 is equal to

A car seller collects the following data of sales of cars from his shop.

$\begin{array}{cc}\text{Colour of car}& \text{Number of cars sold}\\ \text{Red}& 15\\ \text{Black}& 20\\ \text{Silver}& 17\\ \text{White}& 12\\ \text{Others}& 9\end{array}$

a)Which colour of cars is most liked?

b)What is the total number of cars sold from his shop?
[2 MARKS]

Rahul's age is five more than twice of his son's age. If the son's age is 'x' years, then Rahul's age can be expressed as:

Compare and arrange these numbers on the number line.
-2, 2, 0, -4

Which of these illustrates the associative property of multiplication?

Find three predecessors and successors of 444. [2 MARKS]

The area of each square is in the given figure is 4 cm². The perimeter of the whole figure will be

All prime numbers less than 10 are the only prime factors of this number. Find the number given that none of the factors repeat themselves.

Which number line represents (-3) + (-1) + 7 ?

Write the equations for the following relations and find the unknown values: [3 MARKS]

a) One-third of a number plus 5 is 8.

b) A number is multiplied by 4 and the product is added to 8 to get double the original number.

c) The difference between three times $x$ and 11 is 31.

Out of the following fractions which is the smallest and which the greatest?
$\frac{1}{2},\frac{6}{3},\frac{4}{5},\frac{3}{2},\frac{3}{4}$

Q14. A typewriter types 500 letters in a minute. After typing every page, he takes 30 seconds to change the page. If one page contains 300 letters, then how many pages does he type in 11 minute?

एक टाइपराइटर एक मिनट में 500 अक्षर टाइप करता है। हर पेज को टाइप करने के बाद, वह पेज को बदलने के लिए 30 सेकंड का समय लेता है। यदि एक पेज में 300 अक्षर हैं, तो वह 11 मिनट में कितने पेज टाइप करता है?

Question 117.
Nazima gave $2\frac{3}{4}$ L out of the $5\frac{1}{2}$ L of juice she purchased to her friends.
How many litres of juice is left with her?

Which of the following cannot be the measure of three angles of a triangle?

Rahul's dad's age is 4 more than 3 times of his present age. If Rahul is 11 years old, his dad is ___ years old.

Ria has to book a cab at 10 pm to go to her home from office. Due to peak time, the cab will charge 2.5 times that of normal. If without peak charges the fare from home to office is Rs.293.5, then what will be the total fare now?

The ratio of $\frac{1}{2}$ hour to $45$ minutes

What is the simplest form of $5^2\times 6^{-1}\times {100}^1\times \left(\frac{1}{25}\right)$ ?

Sum of exterior angles of a hexagon = ___.

Students in a class voted on their favorite fruit. Each student voted once. The bar graph below summarizes the data collected from the class vote. The total number of students who voted is ___ .

The angle given in figure is a/an -

Question 3 :

Give example of five pair of fractions, and use the appropriate signs > , < = .

Question 6 (e)

Between which two numbers in tenths place on the number line does the given number lie?

0.92

Using special methods find $5492\times 999999$ = ___

I am the smallest number having four different prime factors. Can you find me?

An elevator descends into a mine shaft at the rate of 6 m/min. If the descend starts from 10 m above the ground level, how long it will take to reach the shaft 350 m below the ground level?

Determine the sum by suitable rearrangement of 744+914+256