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Find a no. Such that when 5 is subtracted from 5 times a no. The result is 4 more twice the no.?

Factorize the following :

$i.)25x^2-36$

$ii.)36x^2+49+8x$

$iii.)9+25x^2-30x$ [3 MARKS]

Write the algebraic expression for:

(i) The area of a reactangle if its length (l) is increased by 5 and breadth (b) is reduced by 3.

(ii) Volume of a cubiod if its length (l) is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2. [2 MARKS]

A student goes to play baseball 6 miles away from his home riding a bicycle. In $1^{st}$ mile 100 calories are spent. In $2^{nd}$ mile 300 calories are spent. For further miles, number of calories are spent in the arithmetic sequence.

What is the range of relation from set of distance covered to set of number of calories spent?

A contractor undertakes to build a wall 1000 m long in 50 days .he employs 56 men but at the end of 27 days ,he finds that only 448 m of wall is built.how many extra men must the contractor employ so that the wall is completed in time?

Prepare comparative statement of profit and loss from the following information :

$\begin{array}{ccc}\text{Particulars}& \text{31st March, 2016}& \text{31st March,2015}\\ \text{Revenue from operation}& \text{Rs}16,00,000& \text{Rs}10,00,000\\ \text{Cost of material consumed}& 70\%\text{of revenue from operations}& 70\%\text{of revenue from operations}\\ \text{Other expenses}& 5\%\text{of revenue from operations}& 5\%\text{of revenue from operations}\\ \text{Rate of tax}& 50\%& 50\%\end{array}$

$\Delta$ABC is a right angled triangle. Find the length of AC. Given that BC = 3 units; AB = 4 units.

Find the third side of a triangle whose two sides are $(3x^2-5x)$ cm and $(4x^2+12)$ cm and perimeter is $(8x^2-9x+4)$ cm.

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of painting a pole that casts a shadow of 5 m. Painting is done at Rs.5 per cm.

What is the percentage increase/decrease in the price paid by a man who avails $20\%$ discount instead of two successive discounts of $10\%$ each?

If $x^{100}+2x^{99}+k$ is divisible by $(x+1)$, then the value of $k$ is

Two faucets X and Y can fill a tank in 20 hours and 30 hours respectively. If both the faucets are opened together, then find the number of hours in which tank will full.

Solve the following equations and verify your answer :

$\frac{x+2}{x+5}=\frac{x}{x+6}$

Question 1

Use suitable identities to find the following products:

(i) (x + 4) (x + 10)

(ii) (x+8) (x-10)

(iii) (3x + 4) (3x-5)

(iv) $(y^2+\frac{3}{2})(y^2-\frac{3}{2})$

(c) (3-2x) (3+2x)

The number of type C vehicles produced in 2011 is approximately what percent of the total number of vehicles produced in 2011?

Which one among the given options is an irreducible factor of 5xy(x + 6)?

Factorize the given expressions:

(i) $-4a^2+4ab-4ca$

(ii) $x^{2}yz+x{y}^{2}z+xy{z}^2$

If $y=e^{\sqrt{x}}+e^{-\sqrt{x}},$ then $x{y}^{\prime \prime }+\frac{1}{2}{y}^{\prime }=$

Q73. The 15^th Finance commission will be headed by:

Question 81

State whether the following statement is true or false:

999 is a perfect cube.

Factorise :

$17a^6{b}^8-34a^4{b}^6+51a^2{b}^4$

1. 2

For a compound interested sum which of the following details are necessary?

A trapezium can be constructed by

Draw the
front view, side view and top view of the given objects.

The values of $a$ and $b$, for which the system of equations

$2x+3y+6z=8$

$x+2y+az=5$

$3x+5y+9z=b$

has no solution, are