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The three angles of a quadrilateral are ${40}^{\circ },{80}^{\circ },{90}^{\circ }$. The fourth angle is.

Find the values of the following:

A. 497* 37+ 497*13

Om has $10$ balls, while Shyam has $16$. If $4$ balls taken from both of them, then ratio of number of balls of Om to that of Shyam becomes $1:x$. Find the value of $x$.

In an auditorium, the number of rows is equal to the number of chairs in each row. If the capacity of the auditorium is 2025, find the number of chairs in each row.

What is the L.C.M. of 1 and 90 ?

Q6. Consider the following statements with respect to Broadcast Audience Research Council India (BARC):

1. Broadcast Audience Research Council India (BARC) measures the television audience preferences in the country.

2. BARC a joint industry body that was set up in close consultation with all stakeholders, including government representatives and Telecom Regulatory Authority of India (TRAI).

Which of the above statements are correct?

Observe the following bar graph:

Difference between the number of students who like colour purple and green.

Which of the following are multiples of 0.04?

In the given figure, PQ is a ____ of the circle.

Question 5(vi)

Give expression for the following case.

y is multiplied by - 8 and then 5 is added to the result.

Question 49

State whether the statements are true (T) or false (F).

Only one perpendicular bisector can be drawn to a given line segment.

Q73. Twenty-four identical match sticks are arranged to form a square grid of size 3 × 3 as shown below:

If four match sticks are removed from the grid, what is the maximum number of squares that can be observed?

Q73. चौबीस एक समान माचिस की तिल्लियों को मिलाकर एक 3 × 3 आकार के वर्ग ग्रिड बनाने के लिए व्यवस्थित की गई हैं:

यदि ग्रिड से चार माचिस की तिल्लियाँ हटा दी जाती हैं, तो अधिकतम वर्गों की संख्या क्या देखी जा सकती है?

Degree of the polynomial $4x^2+x+5$ is

If 74z5 is a multiple of 3, where z is a digit, and sum of the digits should be greater than 16 , what can be the values of z?

Question 4

Number of integers lying between -1 and 1 is

(a) 1

(b) 2

(c) 3

(d) 0

Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:

In which year were about 475 books sold? About 225 books sold?

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of $a$ is ___ .

Which of the given solids have the maximum number of vertices?

A regular pentagon has ___ line(s) of symmetry.

Find the value of x in the equation $5+3=x$.

In an entrance exam there were four sections each of 50 marks:
Marks secured by Satyam in each section is shown below
$$\begin{array}{ccccc}Subject& Aptitude& GeneralMathematics& GeneralAwareness& English\\ Marks& \text{45}& \text{40}& \text{35}& \text{40}\end{array}$$

What is the percentage marks scored by him in each section?

What is the measure of an angle:
a) less than a right angle called?
b) greater than a right angle called?
[2 MARKS]

Question 11(a)

Split the given shapes into rectangles and find the area. (The measures are given in centimetres)

Question 91

In the following question, state whether the given statement is true (T) or false (F).
Every whole number is the successor of another whole number.

Find the rule, which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.

A pattern of letter Z as

Question 1(g):

Write the fraction representing the shaded portion:

Question 4 (a)

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following point:

If point D is +8 then which point is –8?

Soham borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is

If $(n+1)!=90\times (n-1)!,$ find n.

Question 65

Write the letters of word `MATHEMATICS` which have no line of symmetry.

The volume of a room is $8m^3$ and the area of the floor is $2m^2$. Then, what is the height of the room?

1. 4

Question 44

State the mid-points of all the sides in the figure.

(–15) – (–18) = ___

Question 55

State whether the statements are true or false:

A square and a rectangle have the same number of lines of symmetry.

Question 41.
4.55+9.73 =___.

What is the angle included between the hour hand and the minute hand, if the time shown by the watch is 06:30? Is it acute, obtuse or reflex?

Which of the following regular polygons has sum of all the interior angles as 720°?

Anita and Divya preparing for their exam. Anita says that
$3\times 5\frac{1}{5}=\frac{78}{5}$.
But, Divya says $3\times 5\frac{1}{5}=\frac{76}{5}$.
Which of them is right? ___

The mixed fraction 5$\frac{4}{7}$ can be expressed as ______ .

Find the greatest four digit number which is exactly divisible by 18,24,36

Evaluate $\frac{25.2\times 1374}{33.3}$. All the digits in this expression are significant.