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Quadratic Equations Level-2 Quiz-3

April 15, 2021No Comments
Quadratic Equations Level-2 Quiz-3

Welcome to the Level – 1 Quiz – 3 of the topic Quadratic Equations on Knowvation! The pattern of the quiz will be MCQ and you will encounter many challenging problems which are going to be very helpful for the preparation of various competitive exams like, CAT, IIFT, SNAP, XAT, TISSMAT, TISSNET, CMAT, SSC CGL, etc. You’re requested to please do read the instructions given below before starting this quiz.

Here are some basic instructions:

Time Limit: 10 minutes

Number of Multiple Choice Questions: 10

Passing marks: 70%

You’ll see the answers after you SUBMIT the quiz. ‘Green’ color ticks represents a correct answer and the ‘Red’ ticks represents a wrong answer

Please do provide your valuable feedback on the quiz or report any issue/mistake in the comment box below. ALL THE BEST! 😀

1. Form the equation, whose roots are one less than the roots of the equation x^2 + 7x + 12 = 0?

 
 
 
 

2. If the roots of x^2 – kx + 49 = 0 are real, what is the least positive integer value that k can take?

 
 
 
 

3. If α and β are the roots of the equation x 2 – 8x + 9 = 0, then α/β + β/α=

 
 
 
 

4. If the sum and the product of the roots of a quadratic equation in x are –4 and 9, respectively, which of the following represents the equation?

 
 
 
 

5. Identify the nature of roots of the equation 9x^2 – 10x + 3 = 0.

 
 
 
 

6. In the quadratic equation 16x^2 – qx + 81 = 0, one root is the cube of the other. Find the value of q.

 
 
 
 

7. The discriminant of the quadratic equation (a – b)x^2 + 2ax + (a + b) = 0, where a and b are real numbers is?

 
 
 
 

8. Find the value of k, if the product of the roots of the equation x^2 – (sqrt(2)+sqrt(3)k)x + (4y)^(2logyK) = 0 is 256.

 
 
 
 

9. In a 2-digit number, the ten’s digit is 3 times the unit digit. When the number is decreased by 54, the digits are reversed. What is the number?

 
 
 
 

10. A journey of 1600 km by an express train takes 24 hours less than that by an ordinary train. If the ordinary train is 15 km/hr slower than the express train, find the speed of the ordinary train. (in km/hr).

 
 
 
 


Last updated on April 15, 2021

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