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**High-Level Quadratic Equation Quiz: Set-11**

**Directions:(1-5) In each of the questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y and give the answer.**

**Directions:(1-5) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.
I. x ^{2}– 16x + 63 = 0
II. y^{2}– 8y + 15 = 0
**A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**2.In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.
I. x ^{2}– 13x + 42 = 0
II. y^{2}– 17y + 70 = 0
**A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**3. ****I. x ^{3} = 13^{3}– 866**

**II. y**

^{3}= 431 + 9^{2}A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**4.I. x ^{2}– 15x + 54 = 0
II. y^{2}– 9y + 18 = 0
**A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**5. I. 7x + 4y = 63
II. 9x + y = 52
**A x > y

B x ≥ y

C x < y

D x ≤ y

E x = y or the relationship cannot be established

**6.In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.**

**I. 45x – 14 = 25x ^{2}
II. 6y^{2}+ 15 = 19y
**A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**7. In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.
**

**I. 10x**

II. 9y

A x > y

^{2 }– 33x + 20 = 0II. 9y

^{2}= 14 – 15yB x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**8.**

A. x > y

B. x < y

C. x = y or the relationship cannot be established

D. x ≥ y

E. x ≤ y

**9. I. 9x – 2y = 4
II. 4x + 3y = 29
**A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

**10. I. x ^{2} = 2x + 15
II. y^{2} – 12y + 35 = 0
**A x > y

B x < y

C x = y or the relationship cannot be established

D x ≥ y

E x ≤ y

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