Question 2 :
Represent the following situation in the form of a quadratic equation : Rohan’s mofher is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Question 3 :
If $\frac{1}{2}$ is a root of the equation $x^2+kx-\frac{5}{4}=0$, then the value of k is?

Question 4 :
Find the positive root of the equation $2x^2 + x - 300 = 0$, by factorisation.

Question 5 :
State True or False: A real number α is said to be a root of the quadratic equation a$x^2$ + bx + c = 0, if a$α^2$ + bα + c = 0.

Question 6 :
Had Ajita scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. The marks scored by her are?

Question 7 :
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be red ?

Question 8 :
Fill in the blanks: The probability of an event that is certain to happen is _______. Such an event is called _________.

Question 9 :
12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

Question 10 :
12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lof. Determine the probability that the pen taken out is a good one.

Question 11 :
A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. Kritika takes out a ball from the bag without looking into it. What is the probability that she takes out the blue ball?

Question 12 :
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the queen of diamonds.

Question 13 :
A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Jimmy?

Question 14 :
Savita and Hamida are friends. What is the probability that both will have the same birthday (ignoring a leap year)?

Question 15 :
A trial is made to answer a true-false question. The answer is right or wrong. Does this statement has equally likely outcome or not?

Question 16 :
If two coins are tossed simultaneously there are three possible outcomes—two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $\frac{1}{3}$⋅ Check whether the argument is correct or incorrect.