Quadratic Equations

Q-QE-1Q.50

I. 2x² + 7x + 5 = 0 II. 3y² + 5y + 2 = 0

1. (1) If x ≥ y
2. (2) If x < y
3. (3) If x ≤ y
4. (4) If relationship between x and y cannot be established
5. (5) If x > y

Q-QE-2Q.51

I. 2x² − 13x + 21 = 0 II. 3y² − 14y + 15 = 0

1. (1) If x ≥ y
2. (2) If x < y
3. (3) If x ≤ y
4. (4) If relationship between x and y cannot be established
5. (5) If x > y

Q-QE-3Q.52

I. 2x² − 13x + 18 = 0 II. y² − 7y + 12 = 0

1. (1) If x ≥ y
2. (2) If x < y
3. (3) If x ≤ y
4. (4) If relationship between x and y cannot be established
5. (5) If x > y

Q-QE-4Q.53

I. x² + 6x + 9 = 0 II. y² − y − 20 = 0

1. (1) If x ≥ y
2. (2) If x < y
3. (3) If x ≤ y
4. (4) If relationship between x and y cannot be established
5. (5) If x > y

Q-QE-5Q.54

I. 3x² − 10x + 8 = 0 II. 2y² − 17y + 35 = 0

1. (1) If x ≥ y
2. (2) If x < y
3. (3) If x ≤ y
4. (4) If relationship between x and y cannot be established
5. (5) If x > y

Q-QE-6Q.62

I. x² − x − 12 = 0 II. y² + 4y + 4 = 0

1. (1) If x < y
2. (2) If x > y
3. (3) If x ≥ y
4. (4) If x ≤ y
5. (5) If relationship between x and y can not be determined

Q-QE-7Q.63

I. 2x² − 15x + 27 = 0 II. 2y² − 23y + 63 = 0

1. (1) If x < y
2. (2) If x > y
3. (3) If x ≥ y
4. (4) If x ≤ y
5. (5) If relationship between x and y can not be determined

Q-QE-8Q.64

I. x² + 11x + 28 = 0 II. 5y² + 27y + 28 = 0

1. (1) If x < y
2. (2) If x > y
3. (3) If x ≥ y
4. (4) If x ≤ y
5. (5) If relationship between x and y can not be determined

Q-QE-9Q.65

I. x² − 11x + 30 = 0 II. y² − 15y + 56 = 0

1. (1) If x < y
2. (2) If x > y
3. (3) If x ≥ y
4. (4) If x ≤ y
5. (5) If relationship between x and y can not be determined

Q-QE-10Q.66

I. 3x² + 16x + 21 = 0 II. 2y² + 15y + 25 = 0

1. (1) If x < y
2. (2) If x > y
3. (3) If x ≥ y
4. (4) If x ≤ y
5. (5) If relationship between x and y can not be determined

Q-QE-11Q.56

I. x² + 9x + 20 = 0 II. y² = 16

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relationship can be established.

Q-QE-12Q.57

I. x² − 7x + 12 = 0 II. 3y² − 11y + 10 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relationship can be established.

Q-QE-13Q.58

I. x² − 8x + 15 = 0 II. y² − 12y + 36 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relationship can be established.

Q-QE-14Q.59

I. 2x² + 9x + 7 = 0 II. y² + 4y + 4 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relationship can be established.

Q-QE-15Q.60

I. 2x² + 15x + 28 = 0 II. 2y² + 13y + 21 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relationship can be established.

Q-QE-16Q.51

(i) x² − 20x + 96 = 0 (ii) y² = 64

1. (a) x ≥ y
2. (b) x ≤ y
3. (c) x > y
4. (d) x = y or no relation can be established between x and y.
5. (e) x < y

Q-QE-17Q.52

(i) 4x² − 21x + 20 = 0 (ii) 3y² − 19y + 30 = 0

1. (a) x < y
2. (b) x > y
3. (c) x = y or no relation can be established between x and y.
4. (d) x ≤ y
5. (e) x ≥ y

Q-QE-18Q.53

(i) x² − 11x + 24 = 0 (ii) y² − 12y + 27 = 0

1. (a) x < y
2. (b) x = y or no relation can be established between x and y.
3. (c) x ≥ y
4. (d) x > y
5. (e) x ≤ y

Q-QE-19Q.54

(i) x² + 12x + 35 =0 (ii) 5y² + 33y + 40 =0

1. (a) x < y
2. (b) x ≥ y
3. (c) x > y
4. (d) x = y or no relation can be established between x and y
5. (e) x ≤ y

Q-QE-20Q.55

(i) 4x² + 9x + 5 =0 (ii) 3y² + 5y + 2 =0

1. (a) x = y or no relation can be established between x and y.
2. (b) x ≤ y
3. (c) x ≥ y
4. (d) x > y
5. (e) x < y

Q-QE-21Q.7

I. X²=16 II.Y³=64

1. (a) ifx>y
2. (b) ifx≥y
3. (c) ifx<y
4. (d) ifx≤y
5. (e) ifx=y or the relationship cannot be established.

Q-QE-22Q.8

I. II.

1. (a) ifx>y
2. (b) ifx≥y
3. (c) ifx<y
4. (d) ifx≤y
5. (e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; garbled in source (equations missing - probably images)

Q-QE-23Q.9

I. 10x² + 663x + 198 = 0 II. 3y² + 44y + 161 = 0

1. (a) ifx>y
2. (b) ifx≥y
3. (c) ifx<y
4. (d) ifx≤y
5. (e) ifx=y or the relationship cannot be established.

Q-QE-24Q.10

I. 3x² + 16x + 21 = 0 II. 6y² + 17y + 12 = 0

1. (a) ifx>y
2. (b) ifx≥y
3. (c) ifx<y
4. (d) ifx≤y
5. (e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; no answer in source

Q-QE-25Q.11

4x + 7y = 209 II. 12x – 14y + 9 = –38

1. (a) ifx>y
2. (b) ifx≥y
3. (c) ifx<y
4. (d) ifx≤y
5. (e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; linear equations, as given in source

Q-QE-26Q.12

I. x² + 10x + 24 = 0 II. 4y² – 17y + 18 = 0

1. (a) ifx>y
2. (b) ifx≥y
3. (c) ifx<y
4. (d) ifx≤y
5. (e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; answer "Ans:C" printed at top of next page in source

Q-QE-27Q.56

(i) x² = 81 (ii) y² – 18y + 81 = 0

1. (a) x > y
2. (b) x < y
3. (c) x ≥ y
4. (d) x ≤ y
5. (e) x = y or there is no relationship

Q-QE-28Q.57

(i) 4x² – 24x + 32 = 0 (ii) y² – 8y + 15 = 0

1. (a) x > y
2. (b) x < y
3. (c) x ≥ y
4. (d) x ≤ y
5. (e) x = y or there is no relationship

Q-QE-29Q.58

(i) x² – 21x + 108 = 0 (ii) y² – 17y + 72 = 0

1. (a) x > y
2. (b) x < y
3. (c) x ≥ y
4. (d) x ≤ y
5. (e) x = y or there is no relationship

Q-QE-30Q.59

(i) x² – 11x + 30 = 0 (ii) y² – 15y + 56 = 0

1. (a) x > y
2. (b) x < y
3. (c) x ≥ y
4. (d) x ≤ y
5. (e) x = y or there is no relationship

Q-QE-31Q.60

(i) x³ = 512 (ii) y² = 64

1. (a) x > y
2. (b) x < y
3. (c) x ≥ y
4. (d) x ≤ y
5. (e) x = y or there is no relationship

Q-QE-32

2x² – 19x + 45 =0 2y² – 15y + 28 = 0

Q-QE-33

2x² – 13x + 21 =0 y² – 12y + 35 = 0

Q-QE-34

x² – 9x + 20 = 0 2y² – 11y + 15 = 0

Q-QE-35

2x² + 13x + 18=0 2y² + 5y + 2 =0

Q-QE-36

(x-4)2 = 0, y2 – 9 = 0

Q-QE-37

x2 + 4x+3 = 0 y2 – y – 2 =0

Q-QE-38

x2 + 13x + 36 = 0 y2 + 15y + 50 = 0

Q-QE-39

4x2 + 5x + 1 = 0 5y2 + 6y + 1 = 0

Q-QE-40

x2 – 7x + 12 = 0 y2 – 11y + 30 = 0

Q-QE-41Q.52

I. x² + 9x + 20 = 0 II. 8y² − 15y + 7 = 0

1. (a) x<y
2. (b) x>y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-42Q.53

I. x² − 11x + 30 = 0 II. y² + 12y + 36 = 0

1. (a) x<y
2. (b) x>y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-43Q.54

I. x² + 13x + 40 = 0 II. y² + 7y + 10 = 0

1. (a) x<y
2. (b) x>y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-44Q.55

I. x² − 20x + 91 = 0 II. y² + 16y + 63 = 0

1. (a) x<y
2. (b) x>y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-45Q.56

I. x² − x − 12 = 0 II. y² + 5y + 6 = 0

1. (a) x<y
2. (b) x>y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-46Q.6

I. 12x2- 24x +12 = 0 II. y2 +3y + 2 = 0

1. 1. if x < y
2. 2. if x ≤ y
3. 3. if x > y
4. 4. if x ≥ y
5. 5. if x = y or Relationship between x and y cannot be established

Q-QE-47Q.7

I. x2 + 11x = 4x - 12 II. 8y2 + 16y = 8y + 16

1. 1. if x < y
2. 2. if x ≤ y
3. 3. if x > y
4. 4. if x ≥ y
5. 5. if x = y or Relationship between x and y cannot be established

Q-QE-48Q.8

I: x2 – 11x + 18 = 0 II: y2 - 6y – 27 = 0

1. 1. x > y
2. 2. x ≥ y
3. 3. x < y
4. 4. x ≤ y
5. 5. x = y or the relationship cannot be established

Q-QE-49Q.12

I. 7x2 + 31x + 12 = 0 II. 21y2 + 2y – 3 = 0

1. 1. x > y
2. 2. x ≥ y
3. 3. x < y
4. 4. x ≤ y
5. 5. x = y or no relation can be established

Q-QE-50Q.13

In the following question, there are two quadratic equations. Study both the equations carefully and answer. I. x2 + 10x + 24 = 0 II. y2 + 16y + 60 = 0

1. 1. x > y
2. 2. x ≥ y
3. 3. x < y
4. 4. x ≤ y
5. 5. x = y or the relationship cannot be established

Q-QE-51Q.7

(i) x² – x – 132 = 0 (ii) y² – 22y + 112 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Note: equations are an image in the source; transcribed from the image

Q-QE-52Q.8

(i) x² – 8x + 15 = 0 (ii) y² – 2y – 3 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Note: equations are an image in the source; transcribed from the image

Q-QE-53Q.9

(i) 2x² – x – 3 = 0 (ii) 4y² – 24y + 35 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Note: equations are an image in the source; transcribed from the image

Q-QE-54Q.10

(i) 2x² – 7x + 6 = 0 (ii) 2y² – y– 1= 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Note: equations are an image in the source; transcribed from the image

Q-QE-55Q.11

I. x²- 5x + 6 = 0 II. 2y²- 15y + 27 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y, or no relation can be established between x and y.

Q-QE-56Q.12

I. 3x + 2y = 301 II. 7x - 5y = 74

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y, or no relation can be established between x and y.

Note: linear simultaneous equations placed in the quadratic set by the source

Q-QE-57Q.75

I. x² + 4x – 12 = 0 II. 2y² + 7y + 6 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or relation between x and y cannot be established

Q-QE-58Q.76

I. x² + 12x + 35 = 0 II. y² + 9y + 20 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or relation between x and y cannot be established

Q-QE-59Q.77

I. x² - 15x + 54 =0 II. y² - 23y +132 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or relation between x and y cannot be established

Q-QE-60Q.78

I. x² – 13x + 42 = 0 II. y² – 15y + 56 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or relation between x and y cannot be established

Q-QE-61Q.79

I. x = ∛512 II. y² = 64

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or relation between x and y cannot be established

Q-QE-62Q.80

I. 2x² + 7x + 3 = 0 II. 2y² + 12y + 18 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or relation between x and y cannot be established

Q-QE-63Q.51

I. x² − 14x + 48 = 0 II. y² + 6 = 5y

1. (a) if x<y
2. (b) if x>y
3. (c) if x≤y
4. (d) if x≥y
5. (e) if x=y or no relation can be established

Q-QE-64Q.52

I. x² + 9x + 20 = 0 II. y² + 7y + 12 = 0

1. (a) if x<y
2. (b) if x>y
3. (c) if x≤y
4. (d) if x≥y
5. (e) if x=y or no relation can be established

Q-QE-65Q.53

I. x² − 11x + 24 = 0 II. 2y² − 9y + 9 = 0

1. (a) if x<y
2. (b) if x>y
3. (c) if x≤y
4. (d) if x≥y
5. (e) if x=y or no relation can be established

Q-QE-66Q.54

I. 16x² + 20x + 6 = 0 II. 10y² + 38y + 24 = 0

1. (a) if x<y
2. (b) if x>y
3. (c) if x≤y
4. (d) if x≥y
5. (e) if x=y or no relation can be established

Q-QE-67Q.55

I. x² = 529 II. y = √529

1. (a) if x<y
2. (b) if x>y
3. (c) if x≤y
4. (d) if x≥y
5. (e) if x=y or no relation can be established

Q-QE-68Q.41

I. 2x² – 5x – 7 = 0 II. 2y² – 16y + 32 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or there is no relation between x and y

Q-QE-69Q.42

I. 2x² – 9x + 10 = 0 II. 3y² – 7y + 4 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or there is no relation between x and y

Q-QE-70Q.43

I. x² + 11x + 24 = 0 II. 4y² + 13y + 10 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or there is no relation between x and y

Q-QE-71Q.44

I. 2x² + 13x + 21 = 0 II. y² + 6y + 9 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or there is no relation between x and y

Q-QE-72Q.45

I. 3x² –x – 2 = 0 II. 4y² – 2y – 2 = 0

1. (a) if x > y
2. (b) if x < y
3. (c) if x ≥ y
4. (d) if x ≤ y
5. (e) if x = y or there is no relation between x and y

Q-QE-73Q.51

I. 2x² − 9x + 9 = 0 II. 6y² − 11y + 4 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y

Q-QE-74Q.52

I. x² − 9x − 10 = 0 II. y² − 4y − 5 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y

Q-QE-75Q.53

I. x² + 7x + 10 = 0 II. y² − 3y − 4 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y

Q-QE-76Q.54

I. x³ = 1728 II. y² + 256 = 400

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y

Q-QE-77Q.55

I. 4x + 5y = 3 II. (y − 4)² = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y

Q-QE-78Q.51

I. x² + 7x − 98 = 0 II. y² − y − 42 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-79Q.52

I. 12x² − 7x + 1 = 0 II. 20y² − 9y + 1 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-80Q.53

I. x² + 13x – 114 = 0 II. y³ = 216

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-81Q.54

I. x² – 6x + 8 = 0 II. y² + 2y – 8 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-82Q.55

I. x² − 11x + 30 = 0 II. y² − 13y + 42 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-83Q.76

I: 2x² + 10x + 12 = 0 II: y² + 10x + 25 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or relation can’t be established.

Note: Answer check: equation II almost certainly means y² + 10y + 25 = 0. · equations transcribed from image in source; 'II: y² + 10x + 25 = 0' (x in eq. II) as printed in source

Q-QE-84Q.77

I. x² – 5x + 6 = 0 II. y² – 7y + 6 = 0

1. (a) x ≤ y
2. (b) x ≥ y
3. (c) x < y
4. (d) x > y
5. (e) x = y or relation can’t be established.

Note: equations transcribed from image in source

Q-QE-85Q.78

I. x² = 625 II. y = √625

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or relation can’t be established.

Note: equations transcribed from image in source

Q-QE-86Q.79

I. x²+23x+130=0 II.y²+30y+224=0

1. (a) x = y or relation can’t be established.
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x > y

Note: equations transcribed from image in source

Q-QE-87Q.80

I. x² + 21x + 108 = 0 II. y² + 24y + 143 = 0

1. (a) x = y or relation can’t be established.
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x > y

Note: equations transcribed from image in source

Q-QE-88Q.56

I. x² + x − 6 = 0 II. y² + 7y + 11 = −1

1. (a) If x > y
2. (b) If x ≥ y
3. (c) If x < y
4. (d) If x ≤ y
5. (e) If x = y or no relation can be established between x and y.

Q-QE-89Q.57

I. 2x² − 17x + 35 = 0 II. 4y² − 19y + 21 = 0

1. (a) If x > y
2. (b) If x ≥ y
3. (c) If x < y
4. (d) If x ≤ y
5. (e) If x = y or no relation can be established between x and y.

Q-QE-90Q.58

I. ∛(x − 512) = 11 II. y + 353 = 13³

1. (a) If x > y
2. (b) If x ≥ y
3. (c) If x < y
4. (d) If x ≤ y
5. (e) If x = y or no relation can be established between x and y.

Q-QE-91Q.59

I. x² + 39x = −380 II. y² + 37y = −342

1. (a) If x > y
2. (b) If x ≥ y
3. (c) If x < y
4. (d) If x ≤ y
5. (e) If x = y or no relation can be established between x and y.

Q-QE-92Q.60

I. x − 2/x = 2/x II. y² − 2y + 1 = 0

1. (a) If x > y
2. (b) If x ≥ y
3. (c) If x < y
4. (d) If x ≤ y
5. (e) If x = y or no relation can be established between x and y.

Q-QE-93Q.41

I. x² – 11x + 30 = 0 II. y² – 9y + 20 = 0

1. (a) x>y
2. (b) x<y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-94Q.42

I. x² − x − 6 = 0 II. y² − 8y + 12 = 0

1. (a) x>y
2. (b) x<y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-95Q.43

I. x² = 196 II. y³ = 1728

1. (a) x>y
2. (b) x<y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-96Q.44

I. x³ = 729 II. y² − 15y + 54 = 0

1. (a) x>y
2. (b) x<y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-97Q.45

I. x² − 15x + 56 = 0 II. y² − 8y + 15 = 0

1. (a) x>y
2. (b) x<y
3. (c) x≤y
4. (d) x≥y
5. (e) x=y or no relation.

Q-QE-98Q.61

I. x² + 14x + 33 = 0 II. y² - 7y + 10 = 0

1. (a) if x > y
2. (b) if x ≥ y
3. (c) if x < y
4. (d) if x ≤ y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-99Q.62

I. 2x² - 16x + 24 = 0 II. y² - 17y + 72 = 0

1. (a) if x > y
2. (b) if x ≥ y
3. (c) if x < y
4. (d) if x ≤ y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-100Q.63

I. x² – 18x + 56 = 0 II. y² – 11y + 30= 0

1. (a) if x > y
2. (b) if x ≥ y
3. (c) if x < y
4. (d) if x ≤ y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-101Q.64

I. x² = 529 II. y = √529

1. (a) if x > y
2. (b) if x ≥ y
3. (c) if x < y
4. (d) if x ≤ y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-102Q.65

I. x² - 21x + 38 = 0 II. y² - 38y + 361 = 0

1. (a) if x > y
2. (b) if x ≥ y
3. (c) if x < y
4. (d) if x ≤ y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-103Q.76

I. 2x² − 17x + 21 = 0 II. 3y² − y − 4 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-104Q.77

I. 2x² - x -45 =0 II. 2y² − 5y + 3 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-105Q.78

I. 2x² − 23x + 66 = 0 II. 3y² − 16y + 21 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-106Q.79

I. 2x² + 16x + 24 = 0 II. 6y² + 13y + 6 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-107Q.80

I. 12x² − 12x = 13x − 12 II. 12y² − 13y + 3 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-108Q.76

I. x² + 10x − 75 = 0 II. y = √169

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-109Q.77

I. 3x² − 5x − 28 = 0 II. y² + 16y + 55 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-110Q.78

I 2x² = 338 II. y² + 13y + 22 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-111Q.79

I 2x² − 3x − 14 = 0 II. y² − 10y + 25 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-112Q.80

I x² + 7x − 98 = 0 II. y² − y − 42 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-113Q.66

(I) x² -14x − 32 = 0 (II) y² + 20y + 36 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-114Q.67

(I) (x+14)² = 100 (II) y² - 8y = 240

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-115Q.68

(I) x² − 20x + 96 = 0 (II) y² − 23y + 132 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-116Q.69

(I) 5x² + 2x − 24 = 0 (II) y² + 3y − 54 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-117Q.70

(I) x² + 2x − 48 = 0 (II) y² + 19y + 88 = 0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relation can be established
4. (d) x < y
5. (e) x ≥ y

Q-QE-118Q.61

I. 2x²-53x+350=0 II. 4y²-75y+275=0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relationship can be established
4. (d) x < y
5. (e) x ≥ y

Note: equations transcribed from image in source

Q-QE-119Q.62

I. 3x²-28x+64=0 II. 28y²-3y-1=0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relationship can be established
4. (d) x < y
5. (e) x ≥ y

Note: equations transcribed from image in source

Q-QE-120Q.63

I. x²-45x+486=0 II. y²-66y+1053=0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relationship can be established
4. (d) x < y
5. (e) x ≥ y

Note: equations transcribed from image in source

Q-QE-121Q.64

I. 8x²-69x+91=0 II. 5y²-68y+207=0

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relationship can be established
4. (d) x < y
5. (e) x ≥ y

Note: equations transcribed from image in source

Q-QE-122Q.65

I. √324 x = 15x + 90 II. √y = √625 ÷ 5

1. (a) x > y
2. (b) x ≤ y
3. (c) x = y or no relationship can be established
4. (d) x < y
5. (e) x ≥ y

Note: equations transcribed from image in source (radical in I covers 324 only)

Q-QE-123Q.65

I. 2x² − 13x + 20 = 0 II. 3y² − 16y + 21 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-124Q.66

I. 5x² − 32x + 35 = 0 II. 4y² + 17y + 18 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-125Q.67

I. x² − 34x + 285 = 0 II. y² − 40y + 399 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-126Q.68

I. x² − 16x + 63 = 0 II. y² − 13y + 42 = 0

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-127Q.69

I. x² × 4 = 64 II. y³ = 216

1. (a) If x>y
2. (b) If x≥y
3. (c) If x<y
4. (d) If x≤y
5. (e) If x = y or no relation can be established between x and y

Q-QE-128Q.76

I. x²+12x+35=0 II. y²+7y+10=0

1. (a) x≥y
2. (b) x≤y
3. (c) x>y
4. (d) x<y
5. (e) x=y or no relation.

Q-QE-129Q.77

I. x² - 7x - 60 = 0 II. y² + 13y + 40 = 0

1. (a) x≥y
2. (b) x≤y
3. (c) x>y
4. (d) x<y
5. (e) x=y or no relation.

Q-QE-130Q.78

I. x² + x – 12 = 0 II. y² + 2y-15 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Q-QE-131Q.79

I. x² + 11x + 24 = 0 II. 4y² + 13y + 10 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Q-QE-132Q.80

I. 2x² + 13x + 21 = 0 II. y² + 6y + 9 = 0

1. (a) x > y
2. (b) x ≥ y
3. (c) x < y
4. (d) x ≤ y
5. (e) x = y or no relation can be established between x and y.

Note: superscripts restored from PDF page image

Q-QE-133Q.71

I. 3x² – x – 4 = 0 II. 3y² + 16y + 13 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-134Q.72

I. 2x² - x -45 =0 II. 3y² +16y + 21 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-135Q.73

I. 2x² + 20x + 32 = 0 II. 3y² + 7y + 4 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-136Q.74

I. 2x² - 28x + 90 =0 II. 3y² + 8y + 4 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.

Q-QE-137Q.75

I. x² +31x + 108 = 0 II. y² – 21y + 98 = 0

1. (a) if x>y
2. (b) if x≥y
3. (c) if x<y
4. (d) if x ≤y
5. (e) if x = y or no relation can be established between x and y.