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Today Sales Tax is replaced by something else whose acronym is?

$23\times (-99)=a\times (-100+b)=23\times c+23\times 1.$

Find the values of a, b and c.

Question 143(ii)

Use the propeties of exponents to verify that each statement is true.

$4^{n-1}=\frac{1}{4}(4{)}^n$

If the sum of three consecutive multiples of 9 is 108, then the average of multiples is

Given two finite sets A and B such that n(A) = 3, n(B) = 3. Then total number of relations from A to B is _____.

$\text{Coffee Rs. 250 per kg, Was mixed with chicory costing Rs. 75 per Kg, n the ratio of 5:2 for a certain blend. If the mixture was sold at Rs. 230 per Kg, find the gain or loss per cent.}$

What is the volume of a cube with edges of length 10 m?

इस पाठ को पढ़ने के बाद किन-किन बाल-सुलभ शरारतों के विषय में पता चलता है?

How to find the values here: 6ab*4=27a72

Given below is the data set for the number of states visited by the students.





Mode with outlier $-$ Mode without outlier $=$ .

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={130}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

Which among the following can never be the units digit of a perfect square number?

If a, b and c are positive integers and (a - b)c = 0, which statement must be true?

The Claude crayon company can make 2400 crayons in 4 minutes. If each crayon box has 12 crayons, how many crayon boxes can they make in 15 minutes?

Question 5 (ii)

An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:

$\begin{array}{ccccc}\text{Monthly income(in ₹)}& & & \text{Vehicles per family}& \\ & 0& 1& 2& \text{Above 2}\\ \text{Less than 7000}& 10& 160& 25& 0\\ 7000-10000& 0& 305& 27& 2\\ 10000-13000& 1& 535& 29& 1\\ 13000-16000& 2& 469& 59& 25\\ 16000\text{or more}& 1& 579& 82& 88\end{array}$

Suppose a family is chosen, find the probability that the family chosen is

(ii) earning ₹16000 or more per month and owning exactly 1vehicle.

5 scooters were sold by a dealer as a promotional offer by giving 20% discount on their Marked price of ₹ 55000 each. Find the final selling price of the 5 scooters.

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$△$ABC is an isosceles triangle and BC is the diameter of the circle. What is the area of the triangle?

$a^3$ - $b^3$ is always divisible by:

Which of the following are cubes of :

(i) an even number

(ii) an odd number

216,729,3375,8000,125,343,4096 and 9261.

A field is in the form of a parallelogram, whose perimeter is 450 m and one of its sides is larger than the other by 75 m. Find the lengths of all sides.

While constructing quadrilateral PQRS with 3 sides and 2 diagonals which of the following geometric tool is not used?

Question 97(ii)

The following pie chart depicts the expenditure of a state government under different heads :



How many times is the amount of money spents on education compared to the amount spent on roads ?

Two spheres P and Q of equal radii have densities ${\rho }_1$ and ${\rho }_2$, respectively. The spheres are connected by a massless string and placed in liquids $L_1$ and $L_2$ of densities ${\sigma }_1$ and ${\sigma }_2$ and viscosities ${\eta }_1$ and ${\eta }_2$, respectively. They float in equilibrium with the sphere P in $L_1$ and sphere Q in $L_2$ and the string being taut. If sphere P along in $L_2$ has terminal velocity ${\overrightarrow{V}}_P$ and Q along in $L_1$ has terminal velocity ${\overrightarrow{V}}_Q$, then

Question 58
${\left(\frac{5}{8}\right)}^9÷{\left(\frac{5}{8}\right)}^4={\left(\frac{5}{8}\right)}^4$

The attendance report of a class for 150 days is as follows:

$\begin{array}{cc}\text{Student}& \text{Attendance}\\ 1& 146\\ 2& 142\\ 3& 147\\ 4& 149\\ 5& 146\\ 6& 145\\ 7& 147\\ 8& 146\\ 9& 145\\ 10& 150\\ 11& 143\\ 12& 145\\ 13& 144\\ 14& 142\\ 15& 148\end{array}$

What is the probability that a student has 98% or more attendance?

Which of the following form a pair of equivalent rational numbers?