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Quadratic Equations Level-2 Quiz-1

April 15, 2021No Comments
Quadratic Equations Level-2 Quiz-1

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. If p is real, what is the nature of the roots of x^2 + 2(p+1) x + 2p = 0?

 
 
 
 

2. How many roots of the equation x^3 – 3x^2 + 4 = 0 are also roots of the equation x^2 + x – 6 = 0?

 
 
 
 

3. A natural number is tripled and then increased by 2. The result when squared equals 32 times the original number. Find the number.

 
 
 
 

4. Find the maximum value of 12 + 22x – 11x^2 .

 
 
 
 

5. If the equation x^2 + 2(m + 3) x + 81 = 0 has equal roots, find the value of m.

 
 
 
 

6. What is the number of real solutions of the equation x2 – 7|x| – 18 = 0?

 

 
 
 
 

7. For what value of K are the roots of the quadratic equation (K – 4) x^2 + (3K – 12) x + 9 = 0 real and equal

 
 
 
 

8. Find the equation which has each of its roots one more than the roots of the equation x^2 – 13x + 21 = 0.

 
 
 
 

9. If p is real, the nature of roots of x^2 + 2(p + 1) x + 2p = 0, will be?

 
 
 
 

10.  m is the smallest positive integer such that for any integer n ≥ m, the quantity n3 – 7n2 + 11n – 5 is positive. What is the value of m?

 
 
 
 


Last updated on April 15, 2021

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