Quantitative Aptitude

Quadratic Equations

137 questions across 10 exam years. Answers for this topic

Quick revision: Quadratic EquationsRules, shortcuts, how it is asked, worked examples and traps

Per paper: ~4.1
Years asked: 10 of 10
Past questions: 137

1 Aug 2021 · Shift 1

AmbitiousBaba

Directions · Q.7–12

Direction (7-12): Solve the given quadratic equations and mark the correct option based on your answer—

Q-QE-51Q.7

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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

2021 (date not stated) · shift not stated

Bankersadda/Adda247

Directions · Q.75–80

Directions (75-80): In the following questions there are two equations given. You have to solve both the equations and give answer:

Q-QE-57Q.75

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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation between x and y cannot be established

Q-QE-61Q.79

I. x = ∛512 II. y² = 64

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation between x and y cannot be established

Quadratic Equations

137 questions across 10 exam years. Answers for this topic

Quick revision: Quadratic EquationsRules, shortcuts, how it is asked, worked examples and traps

Per paper: ~4.1
Years asked: 10 of 10
Past questions: 137

1 Aug 2021 · Shift 1

AmbitiousBaba

Directions · Q.7–12

Direction (7-12): Solve the given quadratic equations and mark the correct option based on your answer—

Q-QE-51Q.7

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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

2021 (date not stated) · shift not stated

Bankersadda/Adda247

Directions · Q.75–80

Directions (75-80): In the following questions there are two equations given. You have to solve both the equations and give answer:

Q-QE-57Q.75

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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation between x and y cannot be established

Q-QE-61Q.79

I. x = ∛512 II. y² = 64

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(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

(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation between x and y cannot be established