List of practice Questions

	Equations		Conditions
(a)	2x2 – 11x + 12 = 0	(d)	Product of roots is negative
(b)	5x2 21x – 20 = 0	(e)	Product of roots is completely divisible by 6
( c)	x2 – 17x + 72 = 0	(f)	Sum of both roots is positive

Nitin raised a fund for the national environmental day. The amount (in thousands) on any given day after the start of fundraising event is given by a quadratic function f(x) = ax² + bx + c , where f(x) is the money in thousand and x is the given day. If the amount collected on the first 3 days is 9, 10, and 13, then find the amount raised on the 10^th day.

Nitish booked movie tickets online which collects the same internet handling charges for normal movies and 3D movies, whereas the cost price of each normal movie ticket is 80% of the 3D movie ticket. Nitish paid Rs. 1030 for two 3D movie tickets and 3 normal tickets and Rs. 610 for one 3D movie ticket and 2 normal tickets. Find the internet handling charges per ticket.

The LCM and product of two numbers X and Y are 180 and 2700, respectively. If X is completely divisible by Y, then the value of (X-Y) is _____.

Vrushali invested Rs. (X+3000) on compound interest of r% p.a. compounded annually for 2 years and Tarushi invested Rs. (X – 2000) on simple interest of (r-2)% p.a. for 3 years. The total interest received by both of them is together Rs. 12360. If Anant invested Rs. (X + 8000) on simple interest for 3 years on 15% and received an interest of Rs. 13500, find the value of ‘r’.

Select the correct word from the following list and fill in the blanks.
float, water, crop, nutrients, preparation

The same kind of plants grown and cultivated on a large scale at a place is called ____.
The first step before growing crops is ____ of the soil.
Damaged seeds would ____ on top of water.
For growing a crop, sufficient sunlight and ____ and ____ from the soil are essential.

Study the words in italics in the sentences below. They are formed by prefixing un – or in – to their antonyms (words opposite in meaning).
• I was a short boy with rather undistinguished looks. (un + distinguished)
• My austere father used to avoid all inessential comforts.(in + essential)
• The area was completely unaffected by the war.(un + affected)
• He should not spread the poison of social inequality and communal intolerance. (in + equality, in + tolerance)
Now form the opposites of the words below by prefixing un- or in-. The prefix in-can also have the forms il-, ir-, or im- (for example: illiterate –il + literate, impractical – im + practical, irrational – ir + rational). You may consult a dictionary if you wish.

____adequate	_____acceptable	_____regular	____tolerant
_____demanding	______active	____true	____permanent
___patriotic	____disputed	____accessible	_____coherent
____logical	____legal	______responsible	_____possible

For the differential equations , find a particular solution satisfying the given condition:$(x^3+x^2+x+1)\frac{dy}{dx}=2x^2+x;y=1$ when $x=0$