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$\text{Divide}{m}^2+7m-60\text{by}(m-5).$

1. 436

ABC is an equilateral triangle of side 4a. Length of its altitude is .

If p,q and r are the roots of a cubic polynomial $a{x}^3+b{x}^2+cx+d$, then what will be pqr?

Find ten rational numbers between and.

Find the compound interest when principal $=Rs.3000,$ rate $=5\%$ per annum and time $=2$ years.

The number 98754256 is divisible by:

A mixture of paint is prepared by mixing $1$ part of red pigments with $8$ parts of the base. In the following table, find the parts of the base that need to be added.

$\begin{array}{cccccc}\text{Parts of red pigment}& 1& 4& 7& 12& 20\\ \text{Parts of base}& 8& ...& ...& ...& ...\end{array}$

The volume of a circular iron rod of length $1m$ is $3850c{m}^3$. Find its diameter.

The perimeter of floor of a rectangular hall is $250m$. If its height is $6m$, find the cost of painting its four walls at the rate of Rs. $20$ per meter square.

If $x\text{and}y$ are directly related, then, find $l,m\text{and}n$.

What is the reciprocal of -8?

A two-digit number is 6 times the sum of its digits. The number formed by reversing the digits is 25 less than the original number. Formulate the situations in simultaneous linear equations.

While trying to express $7^3$ as the sum of consecutive odd numbers, what is the number, $7^3$ should be divided by to find the middle number?

Question 28

If R is the radius of the base of the hat, then the total outer surface area of the hat is



a) $\pi r(2h+R)$

b) $2\pi r(h+R)$

c) $2\pi rh+\pi R^2$

d) None of these

A line is a circle of the radial length___.

Question 1 (iv)

Find the squares of the following numbers:

93

If a stock value starts at Rs. 50 and loses 50% on day 1, then 50% on day 2, what is the ending price?

In figure,
l is the line of symmetry.

Draw the
image of the triangle and complete the diagram so that it becomes
symmetric.

Draw a pie chart for the following data :-

Money spent by a boy in mall.

Do these in your head:

(i) (12 × (−7)) + (8 × (−7))

(ii) (29 × (−2)) + (21 × (−2))

(iii)

(iv)

(v) (1.5 × (−9)) + (0.5 × (−9))

(vi) (3.4 × (−7)) + (0.6 × (−7))

(vii) (4 × (−0.19)) + (6 × (−0.19))

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is $67.5m^2$; find its base and height

Question 02.

A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.

$\begin{array}{cccccc}Partsofredpigment& 1& 4& 7& 12& 20\\ Partsofbase& 8& \dots & \dots & \dots & \dots \end{array}$

Question 111

Living on his own Sanjay is looking for one bedroom apartment for rent. At Neelgiri apartment, rent for the first two months is 20% off. The one bedroom rate at Neelgiri is Rs.6000 per month. At Savana apartment, the first month is 50% off. The one bedroom rate at Savana apartment is 7000 per month. Which apartment will be cheaper for the first two months? By how much?

Find the product of $11x{y}^{2}and-8x{y}^3$.

$(-28)÷(-28)=$ ___

If set A and set B have 3 and 6 elements respectively, then which of the following can be the minimum number of elements in $(A\cup B)$?

The common difference for the arithmetic progression

$3+2\sqrt{2},3+4\sqrt{2},3+6\sqrt{2},3+8\sqrt{2}$ is