Question 1 :
If P(E) = 0.05, what is the probability of ‘not E’?
Question 2 :
A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will buy it ?
Question 3 :
A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out a lemon flavoured candy?
Question 4 :
Suppose we throw a die once. What is the probability of getting a number greater than 4 ?
Question 5 :
A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be blue?
Question 6 :
A die is thrown once. Find the probability of getting a prime number.
Question 7 :
In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing. What is the probability that the music will stop within the first half-minute after starting?
Question 8 :
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king of red colour.
Question 9 :
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In the above imafe, a missing helicopter is reported to have crashed somewhere in the rectangular region. What is the probability that it crashed inside the lake?
Question 10 :
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
Question 11 :
If the zeroes of the quadratic polynomial $ax^2+bx+c$, $c\ne0$ are equal, then:
Question 12 :
The zeroes of the polynomial $x^4-6x^3-26x^2-138x-35$ are $2\pm \sqrt {3}$, 7, -5.
Question 14 :
Is the statement true or false? If the zeroes of a quadratic polynomial $ax^2+bx+c$ are both negative, then, a, b and c all have the same sign.
Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19be7273b230584979a3d.png' />
Look at the graph given above. The graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$.
Question 16 :
A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.
Question 17 :
A fraction becomes $\frac{9}{11}$, if 2 is added to both the numerator and the denominator.If, 3 is added to both the numerator and the denominator it becomes $\frac{5}{6}$. Find the fraction.
Question 18 :
An equation which can be put in the form ax + by + c = 0,where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables x and y. TRUE or FALSE?
Question 19 :
A pair of linear equations in two variables, which has a solution, is called a _________________ pair of linear equations.
Question 20 :
On comparing the ratios $\frac{a_1}{a_2]$, $\frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$, find out whether the lines representing a pair of linear equations are consistent or inconsistent: $2x – 3y = 8 ; 4x – 6y = 9$
Question 21 :
Solve the following pair of linear equations by the substitution method : $3x – y = 3 ; 9x - 3y = 9$
Question 22 :
Every solution of the equation is a _________ on the line representing it.
Question 23 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bdb273b230584979a2e.png' />
In the above fig, the lines represents ____________ lines.
Question 24 :
Let a pair of linear equations in two variables be $a_{1}x+b_{1}y+c_{1}=0$ and $a_{2}x+b_{2}y+c_{2}=0$. If $\frac{a_1}{a_2}\ne\frac{b_1}{b_2}$, then the pair of linear equations is _______.
Question 25 :
Solve the following pair of linear equations by the elimination method and the substitution method : $\frac{x}{2}+\frac{2y}{3}=-1 ~and~ x-\frac{y}{3}=3$