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This mock test of Test: Quadratic Equations- 5 for CAT helps you for every CAT entrance exam.
This contains 15 Multiple Choice Questions for CAT Test: Quadratic Equations- 5 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Solution:

QUESTION: 2

The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is 1/3, then his present age is

Solution:

Explanation:

Let Sharma’s present age be x years then his age 3 years ago is (x−3) years and 5 years from now is (x+5)years. According to question,

QUESTION: 3

If the quadratic equation kx(x – 2) + 6 = 0 has equal roots, then the value of ‘k’ is

Solution:

QUESTION: 4

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

Solution:

Explanation:

Let one root be αα then other root will be 3α

∴ Sum of the roots

QUESTION: 5

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

Solution:

QUESTION: 6

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

Solution:

QUESTION: 7

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

Solution:

QUESTION: 8

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

Solution:

QUESTION: 9

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

Solution:

Explanation:

Let Rohan’s present age be xx years.

Then Rohan’s mother age will be (x+26) years.

And after 3 years their ages will be (x+3) and (x+29) years. According to question,

QUESTION: 10

The nature of the roots of the equation

Solution:

QUESTION: 11

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

Solution:

QUESTION: 12

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

Solution:

QUESTION: 13

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

Solution:

QUESTION: 14

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

Solution:

QUESTION: 15

The discriminant of 4x^{2} + 3x – 2 = 0 is

Solution:

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