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Simplify the following:

Mewa Lal borrowed Rs. 20000 from his friend RoopLal at $18\%$ per annum simple interest. He lent it to Rampal at the same rate but compounded annually. Find his gain after 2 years.

Express 120 as a product of powers of their prime factors:

Arrange the numbers in ascending order (Starting from the top)

The number of boys in a class is 20. If 60% of the class are girls, what is the strength of the class?

Question 86(vi)

A die is rolled once. What is the probability that the number on top will be a factor of 6

Question 70

From the histogram given below, we can say that 1500 males above the age of 20 are liberate.

Two manufacturers Ram and Shyam manufacture only three wooden items; bed, table and sofa. The sales (in rupees) of these three items by both of manufacturers in month of June and July are given by the following matrices $A$ and $B$ respectively.



Sale in June

$\begin{array}{ccccccc}& & & \text{Bed}& \text{Table}& \text{Sofa}& \end{array}A=\left[\begin{array}{ccc}5000& 10000& 15000\\ 25000& 15000& 5000\end{array}\right]\begin{array}{c}\text{Ram}\\ \text{Shyam}\end{array}$



Sale in July

$\begin{array}{ccccccc}& & & \text{Bed}& \text{Table}& \text{Sofa}& \end{array}B=\left[\begin{array}{ccc}2500& 5000& 3000\\ 10000& 5000& 5000\end{array}\right]\begin{array}{c}\text{Ram}\\ \text{Shyam}\end{array}$



The combined sales in June and July for each manufacturer in each item is given by



[1 mark]

Simplify: $(\frac{p}{2}-\frac{p^3}{4})(\frac{p}{2}+\frac{p^3}{4})$.

2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row? [3 MARKS]

Harsh Kansara deposited Rs 80 per month in a cumulative deposit account for six years. Find the amount payable to him on maturity, if the rate of interest is 6% per annum.

If the cost of $93$ metre of a polypropylene plastic sheet is $Rs.1395,$ then what would it cost in to buy $105$ metre of polypropylene plastic ?

Evaluate: $5A^4{B}^5\times 2A{B}^3$

If $\sqrt[n]{n{x}^P}=x^m$, then $p$ is equal to:

Find each of the following products:

$(2x+5)\times (4x-3)$

Question 83 (ii)

Multiply the following :

$3x^2{y}^2{z}^2,17xyz$

The mean of 100 observation was found to be 30. If two observation were wrongly taken as 25 and 13 instead of 24 and 12 , find the correct mean

Express 6ab - 4b + 6 - 9a in the factor form.

Question 3 (iii)

Simplify:

$\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}$

Question 26

Fill in the blanks to make the statements true.

There are ___ perfect cubes between 1 and 1000.

In what time will Rs 2400 amount to Rs 2646 at 10% p.a. compounded semi-annually.

The probability of a number chosen randomly from the numbers $1,2,3,...12$ being a prime number is

If $\angle 6=72°$, find the value of $\angle 3$.

Half the students of a class are dancing and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, then find the total number of students in the class.

If the measure of the sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ∠ ABC = ${75}^{\circ }$, ∠ BCD = ${35}^{\circ }$ and ∠ CDA = ${135}^{\circ }$, can you construct a quadrilateral ABCD?

Identify a number which is divisible by 5 but not by 10.

There are 2 two-digit numbers such that one has been obtained by swapping the digits of the other. The number obtained by subtracting the smaller number from the larger number, is divisible by

If a cube has a total surface area of the six faces equal to 864 square feet, what is the volume of the cube? [3 MARKS]

Question 7 (iii)
Without adding, find the sum:

1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19 + 21 + 23

Alex's elder brother is $y$ years old, and Alex is $5$ years younger than his brother. What is the age of Alex?

explain about linear equations by that we can do the working problems very easily whether it is tough but it should be in short cut method