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__START QUIZ__1.

I. x2 -29x +208 = 0

II. y2 -22y +85 = 0

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A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

2.

I. x2 +18x +80 = 0

II. 10y2 +29y -72 = 0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

3.I. x2 +21x -22 = 0

II. y2 -21y +20 = 0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

4.I. x2 +25x +66 = 0

II. y2 -5y -14 = 0

#####
A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

5.

I. x2 -49 = 0

II. y2 -27y +152 = 0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or relationship cannot be established

**FIND THE WRONG NUMBER**

6.37, 81, 150, 231, 331, 452

a.81

b.150

c.331

d.452

7.90, 45, 45, 64, 135, 337

a.64

b.135

c.337

d.90

8.13, 17, 25, 37, 53, 78

a.78

b.25

c.13

d.37

9.31, 39, 49, 61, 72, 91, 109

a.72

b.91

c.31

d.61

10.-1, 5, 23, 59, 119, 210

a.210

b.-1

c.119

d.23

__SOLUTION__**1.Correct Answer – E. x = y or relationship cannot be established**

**Explanation:**

**From equation I:**

x2 -29x +208 = (x -13)(x -16)= 0

=> x = 13, 16

**From equation II:**

y2 -22y +85 = (y -5)(y -17) = 0

=> y = 5, 17

2.

**Correct Answer – A. x < y****Explanation:**

From equation I:

x2 +18x +80 = (x + 8)(x + 10)= 0

=> x = -8, -10

From equation II:

10y2 +29y -72 = (5y -8)(2y + 9) = 0

=> y = 8/5, -9/2

3.

**Correct Answer – C. x ≤ y****Explanation:**

From equation I:

x2 +21x -22 = (x + 22)(x -1)= 0

=> x = -22, 1

From equation II:

y2 -21y +20 = (y -20)(y -1) = 0

=> y = 20, 1

4.

**Correct Answer – A. x < y****Explanation:**

From equation I:

x2 +25x +66 = (x + 22)(x + 3)= 0

=> x = -22, -3

From equation II:

y2 -5y -14 = (y -7)(y + 2) = 0

=> y = 7, -2

5.

**Correct Answer – A. x < y****Explanation:**

From equation I:

x2 -49 = (x -7)(x + 7)= 0

=> x = 7, -7

From equation II:

y2 -27y +152 = (y -8)(y -19) = 0

=> y = 8, 19

6.The series follows the pattern

**37 + 72 = 86,**

86 + 82 = 150,

150 + 92 = 231,

231 + 102 = 331,

331 + 112 = 452.

Therefore, 86 should be in place of 81.

7.

**Correct Answer – B**
The series follows the pattern:

90 × 0.5 = 45,

45 × 1 = 45,

**45 × 1.5 = 67.5,**

67.5 × 2 = 135,

135 × 2.5 = 337.5

Therefore, 67.5 should be in place of 64.

8.

**Correct Answer – A**
The series follows the following pattern:

13 + (4 × 1) = 17,

17 + (4 × 2) = 25,

25 + (4 × 3) = 37,

37 + (4 × 4) = 53,

**53 + (4 × 5) = 73.**

Therefore, 73 should be in place of 78.

9.

**Correct Answer – D**
The series follows the pattern:

31 + 8 = 39,

39 + 10 = 49,

49 + 12 = 61,

**61 + 14 = 75,**

75 + 16 = 91,

91 + 18 = 109.

Therefore, 75 should be in place of 72.

10.The series follows the pattern:

13 – 2 = 1 – 2 = -1

23 – 3 = 8 – 3 = 5

33 – 4 = 27 – 4 = 23

43 – 5 = 64 – 5 = 59

53 – 6 = 125 – 6 = 119

**63 – 7 = 216 – 7 = 209**

Therefore, 209 should be in place of 210.