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What is the coefficient of the term obtained when $24x{y}^2$ is divided by $8xy$?

Question 21

Fill in the blanks to make the statement true.

$\frac{-16}{24}and\frac{20}{-16}$ represent ___ rational numbers.

What is $\frac{7}{8}$ divided by $\frac{2}{8}$ in its simplest form?

Question 75

In the following question, state whether the statement is True (T) or False (F):

The difference of the squares of two consecutive numbers is their sum.

Through the vertex $O$ of the parabola $y^2=4ax,$ two chords $OP$ and $OQ$ are drawn and the circles on $OP$ and $OQ$ as diameters intersect at $R.$ If ${\theta }_1,{\theta }_2$ and $\varphi$ are the inclinations of the tangents at $P$ and $Q$ on the parabola and of $OR$ respectively, then the value of $\cot {\theta }_1+\cot {\theta }_2$ is

Using the graph find how many of the fruit/ fruits have more sales on Monday than Tuesday.

Question 80 (iii)

Find the value of x, if
35 % of ₹ x is ₹ 280.

Question 49

If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.

The value of ${0.6}^2$ is

A ray OC is constructed on the line segment AB such that ∠BOC is x${}^{\circ }$. What will ∠AOC be?

The third side of a triangle must be ___ than the difference between the other two sides.

A triangle is constructed such that one of its side 8 cm, another side is of length 5.5 cm and the angle opposite to the side of length 5.5 cm is 40${}^{\circ }$. This construction results in the formation of two triangles. Let us call the third vertex of the smaller triangle as $C_1$ and the third vertex of the bigger triangle as $C_2$, as shown in the image below.

Then x${}^{\circ }$ + y${}^{\circ }$ equals

Question 44

Four times a number is a ___ % increase in the number.

If x is the least prime number and y is its reciprocal, then the multiplicative inverse of additive inverse of $\frac{x+y}{x-y}$ is



यदि x लघुत्तम अभाज्य संख्या है तथा y इसका व्युत्क्रम है, तब $\frac{x+y}{x-y}$ के योगात्मक प्रतिलोम का गुणात्मक प्रतिलोम है

Christopher attempted $30\%$ questions on his last math exam correctly. If there were 50 questions on the test, how many questions did he attempt correctly?

Question 2 (vi)
Find the values of unknowns x and y in the following diagram:

Question 43

In the following question, fill in the blanks to make the statements true.

${[{\left(\frac{2}{13}\right)}^{-6}÷{\left(\frac{2}{13}\right)}^3]}^3\times {\left(\frac{2}{13}\right)}^{-9}=$ ___

Match the angle subtended by an arc of given length , if the circumference of a circle is 512 cm.

If p
= −2, find the value of:

(i) 4p
+ 7

(ii) −3p²
+ 4p + 7

(iii) −2p³
− 3p² + 4p + 7

Question 24

Fill in the blanks to make the statements true.
$(-3{)}^8÷(-3{)}^5=\text{\_\_}$

A train 210 m long is traveling at a speed of 42 Km/hr. A man is running at a speed of 6 Km/hr in the same direction to the motion of the train. What would be the time taken by the train to cross the man (in seconds)?

If the value of number $z$ is atleast $10$, but not more than $15$, then .

How many lines of symmetry does the regular hexagon shown below have?

Question 5

Observe the following pattern and supply the missing numbers.

${11}^2=121{101}^2=10201{10101}^2=102030201{1010101}^2=.........................{.}^2=10203040504030201$

Tap the bubble which contains a linear equation in one variable.

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

Find the area of this paperplane. [4 MARKS]

Compare images and find the equivalent fraction of $\frac{3}{5}$.