MCQ Class 10 Quadratic Equations Set III

1. There will be total  25  MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Which of the following is a solution of the quadratic equation x² - b² = a(2x-a)

x= ab

x = a/b

x = b/a

x = a+b

Your comments:

Question 1 of 25

2. Which of the following statement is TRUE?

A quadratic equation in variable x is of the form ax² + bx + c = 0, where a, b, c are real numbers a ≠ o.

If we can factorise ax² + bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zero

A real number R is said to be a root of the quadratic equation ax² + bx + c = 0 if a(R)² + bR + c = 0.

All the above

Your comments:

Question 2 of 25

3. For what value(s) of k will the equation kx²-5x+k=0 have a repeated root?

5/2

3/2

-5/2

±5/2

Your comments:

Question 3 of 25

4. What are the two consecutive even integers whose squares have sum 340?

12 and 10

–12 and –14

12 and 14

Both (B) and (C)

Your comments:

Question 4 of 25

5. If x = 1 is a common root of the equation x² + ax - 3 = 0 and bx² - 7x + 2 = 0 then ab =

-3

7

10

6

Your comments:

Question 5 of 25

6. Find the two consecutive odd positive integers, sum of whose square is 290.

9, 11

13, 15

11, 13

15, 17

Your comments:

Question 6 of 25

7. The equation 4x² = 4x has following solution/solutions.

1

0, 1

1, -1

-1, 0

Your comments:

Question 7 of 25

8. The sum of a number and it’s reciprocal is 5.2. The numbers is / are:

-5, 1/5

5, 1/5

-5

-1/5, 1

Your comments:

Question 8 of 25

9. Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?

1

7,-8

8

7

Your comments:

Question 9 of 25

10. If the value of the Discriminant function of a quadratic equation is D = 27, then its roots are

Distinct, Irrational

Same, Rational

Distinct, Rational

Same Irrational

Your comments:

Question 10 of 25

11. Which of the following equations has 2 as a root?

3x² - 6x - 2 = 0

x² - 4x + 5 = 0

x² + 3x - 12 = 0

2x² - 7x + 6 = 0

Your comments:

Question 11 of 25

12. The solution of is

2, 4

-4, 2

-2, 4

-2, -4

Your comments:

Question 12 of 25

13. The roots of the equation x² - √3x - x + √3 = 0 are :

- √3, -1

- √3, 1

√3, -1

√3, 1

Your comments:

Question 13 of 25

14. The solution of (2x + 1) (x - 5) = 3 is ____

a. None of the above

b. c. d. 

A

B

C

D

Your comments:

Question 14 of 25

15. The solutions of the quadratic equation  are

x = 2 and x = -5

x = -2 and x = -5

x = 1 and x = 2

x = 1 and x = -2

Your comments:

Question 15 of 25

16. The solution of 5z² = 3z is

0, -3/5

0

3/5

0, 3/5

Your comments:

Question 16 of 25

17. If b² - 4ac = 0 then The roots of the Quadratic equation ax² + bx + c = 0 are given by :

A

B

C

D

Your comments:

Question 17 of 25

18. The solutions of the equation: x² + 2x - 143 = 0

-13, -11

-13, 11

-11, 13

11, 13

Your comments:

Question 18 of 25

19. One of the roots of the quadratic equation 6x² - x - 2 = 0 is:

-1

-1/2

1/2

-2/3

Your comments:

Question 19 of 25

20. If I had walked 1km/hr faster , I would have taken 15 minutes less to walk 3km.Find the rate at which I was walking.

could be either 3 or -4

-4

3

Neither

Your comments:

Question 20 of 25

21. Write the general form of a quadratic polynomial

ax² + bx + c where a, b and c are real numbers and a is not equal to zero.

ax² + bx + c or bx + ax²+ c or c+ bx + ax²

ax² + bx + c where a, b and c are real numbers

ax² + bx + c=0

Your comments:

Question 21 of 25

22. If -3 is a root of both the Quadratic equations 2x² + px - 15 = 0, and p(x² + x) + q = 0, then the value of q if the equation containing it has equal roots is.

2

14

1/2

1/4

Your comments:

Question 22 of 25

23. If 1 is a root of the equations ay² + ay + 3 = 0 and y² + y + b = 0, then ab

-3

-7/2

6

3

Your comments:

Question 23 of 25

24. The equation 4x² + 3x + 5 = 0

A

B

C

D

Your comments:

Question 24 of 25

25. The difference of a number and its reciprocal is 1.5. Then, the number is/are:

1/2 and -2

-2, 2

-2, 1/2

2 and 1/2 or -1/2 and -2

Your comments:

Question 25 of 25

 Loading...