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Quant Quiz on Quadratic Equations

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Question 1

Direction: In the following question two equations are given in variables m and n. You have to solve these equations and determine the relation between m and n.
I. m2 – 9m + 20 = 0
II. n2 – 7n + 12 = 0

Question 2

Direction: In the following question, two equations are given in variables a and b. You have to solve these equations and determine relation between a and b.
I. 6a– 32a + 42 = 0
II. 6b+ 25b + 21 = 0

Question 3

Direction: In the following question two equations are given in variables a and b. You have to solve these equations and determine relation between a and b.
I. 9a2 + 81a + 162 = 0
II. 7b2 - 7b – 84 = 0

Question 4

For a quadratic equation of the form ax2 + bx + c = 0, b/c = 4 and one of its roots is (-2). The quadratic equation is :

Question 5

Directions: In the following question two equations numbered I and II are given. You have to solve both the equations and answer the question.

I.
II.

Question 6

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine relation between X and Y.
I. 8x2 + 18x + 4 = 0
II. 2y2 - 3y - 2 = 0

Question 7

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.
I. 16x2 + 32x + 12 = 0
II. 10y2 + 38y + 24 = 0

Question 8

Directions: In each of the following questions two equations I and II are given. Solve both the equations and give answer:

I. x2 + 2x - 195 = 0
II. y2 + 30y + 225 = 0

Question 9

Directions: In the following question two equations numbered I and II are given. You have to solve both the equations and answer the question.

I.
II.

Question 10

Directions: In each of the following questions two equations (I) and (II) are given. Solve both the equations and give answer
(I) 3x2 + 8x + 4 = 0
(II) 4y2 - 19y + 12 = 0.
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