Test: Quadratic Equations- 5 - CAT MCQ

If one root of the equation ax2+bx+c=0 is three times the other, then b2:ac=

A train travels 360km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey, then the actual speed of the train is

Let b = a + c. Then the equation ax2+bx+c=0 has equal roots if

The discriminant of the quadratic equation 3√3x2+10x+√3=0

If one root of the equation 4x2−2x+(λ−4)=0 be the reciprocal of the other, then the value of λ is

Rohan’s mother is 26 years older than him. The product of their ages 3 years from now will be 360, then Rohan’s present age is

The nature of the roots of the equation   

By a reduction of Re.1 per kg in the price of sugar, Radha can buy one kg sugar more for Rs.56. The original price of 1 kg of sugar is

If the sum of the roots of x²−(k+6)x+2(2k−1)=0 is equal to half of their product, then k =

500 bananas were divided equally among a certain number of students. If there were 25 more students, each would have received one banana less. Then the number of students is

A cyclist takes 2 hours less to cover a distance of 200 km, if he increases his speed by 5 km/hr. Then his original speed is

The discriminant of 4x² + 3x – 2 = 0 is