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Match the following inequalities with their solutions.

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ 100\%& \text{C.}& Rs.53\end{array}$

What will be the sum of the digits of the difference between the greatest five digit even number and the smallest four digit odd number?

Let A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find A - B and B - A.

Question 39

Fill in the blanks to make the statements true.

The digit at the one's place of ${57}^2$ is ___

A fruit grower has $150$ acres of land available to raise two crops, $A$ and $B$. It takes one day to trim an acre of crop $A$ and two days to trim an acre of crop $B$ and there are $240$ days per year available for trimming. It takes $0.3$ day to pick an acre of crop $A$ and $0.1$ day to pick an acre of crop $B$ and there are $30$ days per year available for picking. The number of acres of each fruit that should be planted to maximize profit, assuming that the profit is $140$ per acre for crop $A$ and $235$ per acre for crop $B,$ is

In the given figure, if AB || CD, then find the value of x.

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Question 16

In the given figure, PQ$\perp$RQ, PQ = 5 cm and QR = 5 cm. Then, $△PQR$ is







a) a right-angled triangle but not isosceles

b) an isosceles right-angled triangle

c) isosceles but not a right-angled triangle

d) neither isosceles nor right-angled triangle

Circumcentre of triangle is ____________ of a triangle.

$△$ABC is drawn with the length of side AB being 6.5 cm. If $\angle$A is 20${}^{\circ }$ and $\angle$C is 130${}^{\circ }$, then the length of the side AC is

A college survey found that 6 out of 24 students walk to college. If 3 students are selected at random without replacement, what is the probability that all 3 walk to college?

Question 2
In the figure given below,
$\Delta ODC\sim \Delta OBA,\angle BOC={125}^{\circ }and\angle CDO={70}^{\circ }$
$Find\angle DOC,\angle DCOand\angle OAB$.

1. 12345654321

To represent a rational number $\frac{3}{5}$ on a number line, you need to divide $1$ unit on a number line into equal parts.

1. 3396

Garbage is placed in a triangular shape as shown in the image below. Find the area of the garbage.

Question 83

In the following question, state whether the given statements are true (T) or false (F).

$a^m=\frac{1}{a^{-m}}$

If two ratios are in proportion then how are they represented symbolically?

Which of the following is not a like term of $2x^{2}yz$?

Express 5126000 in standard form.

Question 1(a)

There are 20 girls and 15 boys in a class.

What is the ratio of numbers of girls to the number of boys?

Question 52

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero common divisor of p and q, then $\frac{p}{q}=\frac{p÷m}{q÷m}.$

Let $A(2,-3)$ and $B(-2,1)$ be vertices of a triangle $ABC.$ If the centroid of this triangle moves on the line $2x+3y=1,$ then the locus of vertex $C$ is

Question 2(v)

Simplify and express the result in power notation with positive exponent:

$2^{-3}\times (-7{)}^{-3}$

Question 4 (vii)



Find the square roots of the following numbers by the Prime Factorization method:

5929

Find the product using the formula.

If the square of the number $A5$ is $X25$, then $X$ is equal to .

If we divide 1250 by 25, then 1250 is the ____.