CMAT Quadratic Equations — practice questions
38 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CMAT Quadratic Equations in the app →The sample space of a single throw of a fair six-faced die isIf a fair coin is tossed once, the probability of getting a HEAD isA fair die is rolled. The probability of getting an ODD number isTwo fair dice are rolled. The probability that the SUM of the numbers showing is 7 isFor any two events $A$ and $B$, the probability of $A \cup B$ (A or B) is given byA card is drawn from a well-shuffled standard deck of 52 cards. The probability of drawing a KING isA fair die is rolled. The probability of getting a PRIME number isThree fair coins are tossed simultaneously. The probability of getting EXACTLY two heads isA card is drawn from a standard deck of 52. The probability that it is a KING or a QUEEN isIf $P(A) = 0.4$ and $P(B) = 0.5$ and $P(A \cap B) = 0.2$, then $P(A \cup B)$ isWhat is the probability that a randomly drawn card from a 52-card deck is a FACE CARD (King, Queen, or Jack)?Two events $A$ and $B$ are MUTUALLY EXCLUSIVE ifTwo fair coins are tossed. The probability of getting AT LEAST ONE head isIf the probability that a student passes a CAT mock test is $0.6$, what is the probability that the student FARoots of x² − 5x + 6 = 0 are:If x² − 9 = 0, then x =An equation p(x) = 0 where p is a polynomial of degree 2 is called a:The standard form of such an equation is written as:In that standard form, the one restriction placed on the coefficient a is that it is:The scholar credited with deriving the quadratic formula around 1025 CE was:The expression b squared minus 4ac is called the equation's:If that expression is greater than zero, the equation has:If that expression equals zero, the equation has:If that expression is less than zero, the equation has:For the equation 2x squared minus 5x plus 3 equals 0, the discriminant is:Because that discriminant is positive, the equation 2x squared minus 5x plus 3 equals 0 has:The roots of 2x squared minus 5x plus 3 equals 0 are:For the equation 6x squared minus x minus 2 equals 0, the discriminant is:The roots of 6x squared minus x minus 2 equals 0 are:For the equation x squared plus 4x minus 5 equals 0, the discriminant is:The roots of x squared plus 4x minus 5 equals 0 are:A method that rewrites the equation so one side becomes a perfect square is called:The values of x that satisfy a quadratic equation are called its:The roots of a quadratic equation are the same as the zeroes of the corresponding:A number of toys problem leads to 2x squared plus x minus 300 equals 0. Its discriminant is:Because 2401 is the square of 49, that equation has roots that are:Which two methods of solving quadratic equations are worked through in the examples?Before applying any solving method, an equation must first be written in its: