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SSC CGL Exam  >  SSC CGL Tests  >  MCQ: Quadratic Equations - 2 - SSC CGL MCQ

MCQ: Quadratic Equations - 2 - SSC CGL MCQ


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15 Questions MCQ Test - MCQ: Quadratic Equations - 2

MCQ: Quadratic Equations - 2 for SSC CGL 2024 is part of SSC CGL preparation. The MCQ: Quadratic Equations - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Quadratic Equations - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Quadratic Equations - 2 below.
Solutions of MCQ: Quadratic Equations - 2 questions in English are available as part of our course for SSC CGL & MCQ: Quadratic Equations - 2 solutions in Hindi for SSC CGL course. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free. Attempt MCQ: Quadratic Equations - 2 | 15 questions in 15 minutes | Mock test for SSC CGL preparation | Free important questions MCQ to study for SSC CGL Exam | Download free PDF with solutions
MCQ: Quadratic Equations - 2 - Question 1
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 3x2 – 21x + 36 = 0 
II. 5y2 – 25y + 30 = 0

Detailed Solution for MCQ: Quadratic Equations - 2 - Question 1

I. 3x2 – 21x + 36 = 0
3x2 – 12x – 9x + 36 = 0

II. 5y2 – 25y + 30 = 0
5y2 – 10y – 15y + 30 = 0

Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 2 - Question 2
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 144x2 = 16 + 20 
II. 20y = √169 – √9

Detailed Solution for MCQ: Quadratic Equations - 2 - Question 2

I. 144x2 = 16 + 20

II. 20y = √169 – √9
20y = 13 – 3
20y = 10

Answer: x ≤ y
Hence, Option B is correct.

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MCQ: Quadratic Equations - 2 - Question 3
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 2x2 – 17x + 36 = 0  
II. 2y2 – 21y + 54 = 0

Detailed Solution for MCQ: Quadratic Equations - 2 - Question 3

I. 2x2 – 17x + 36 = 0
2x2 – 8x – 9x + 36 = 0

II. 2y2 – 21y + 54 = 0
2y2 – 9y – 12y + 44 = 0

Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 2 - Question 4
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 + 31x + 210 = 0   
II. y2 + 3y + 2 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 4

I. x2 + 31x + 210 = 0
x2 + 21x + 10x + 210 = 0
x = – 21 and – 10

II. y2 + 3y + 2 = 0
y2 + 2y + y + 2 = 0
y = –2 and –1
Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 2 - Question 5
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 – 19x – 42 = 0
II. y2 + 15y + 26 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 5

I. x2 – 19x – 42 = 0
x2 – 21x + 2x – 42= 0
x = 21 and – 2

II. y2 + 15y + 26 = 0
y2 + 2y + 13y + 26 = 0
y = – 2 and – 13
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 2 - Question 6
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 – 4x – 96 = 0
II. 4y2 – 109y + 741 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 6

I. x2 – 4x – 96 = 0
x2 – 12x + 8x – 96 = 0
x = 12 and – 8

II. 4y2 – 109y + 741 = 0
4y2 – 52y – 57y + 741 = 0 

Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 2 - Question 7
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 + 48x – 153 = 0
II. y2 = 32y – 156
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 7

I. x2 + 48x – 153 = 0
x2 + 51x – 3x – 153 = 0
x = – 51 and 3

II. y2 = 32y – 156
y2 – 32y + 156 = 0
y2 – 26y – 6x + 156 = 0
y = 26 and 6
Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 2 - Question 8
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 3x + 3y = √1764
II. 7x – 5y = √1444
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 8

I. 3x + 3y = √1764
3x + 3y = 42
x + y = 14

II. 7x – 5y = √1444
7x – 5y = 38
5 × I + II
12x = 70 + 38
x = 9
y = 14 – 9 = 5
x > y
Hence, Option A is correct.

MCQ: Quadratic Equations - 2 - Question 9
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 – 31x + 228 = 0
II. y2 – 19y + 84 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 9

I. x2 – 31x + 228 = 0
x2 – 12x – 19x + 228 = 0
x = 12 and 19

II. y2 – 19y + 84 = 0
y2 – 12y – 7y + 84 = 0
y = 12 and 7
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 2 - Question 10
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. (x – 15)2 = 0
II. y2 = 196
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 10

I. (x – 15)2 = 0
x = 15

II. y2 = 196
y = ±14
Answer: x > y
Hence, Option A is correct.

MCQ: Quadratic Equations - 2 - Question 11
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 17x + 7y = 323
II. 13x – 14y = – 82
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 11

I. 17x + 7y = 323
II. 13x – 14y = – 82
→ 2 × I + II
34x + 13x = 646 – 82 
47x = 564
x = 12
Put the value of x = 12 in I
y = 17
Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 2 - Question 12
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 = 81
II. y2 – 32y + 240 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 12

I. x2 = 81
x = 9 and – 9  
II. y2 – 32y + 240 = 0
y2 – 12y – 20y + 240 = 0
y = 12 and 20 
Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 2 - Question 13
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 – 13x + 22 = 0
II. y2 – 28y + 187 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 13

I. x2 – 13x + 22 = 0
x2 – 11x – 2x + 22 = 0
x = 11 and 2

II. y2 – 28y + 187 = 0
y2 – 11y – 17y + 187 = 0
y = 11 and 17
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 2 - Question 14
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 + 31x + 234 = 0
II. y2 + 22y + 117 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 14

I. x2 + 31x + 234 = 0
x2 + 18x + 13x + 234 = 0
x = –13 and –18

II. y2 + 22y + 117 = 0
y2 + 13y + 9y + 117 = 0
y = –13 and –9  
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 2 - Question 15
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 – 44x + 475 = 0
II. y2 – 34y + 285 = 0
Detailed Solution for MCQ: Quadratic Equations - 2 - Question 15

I. x2 – 44x + 475 = 0
x2 – 25x – 19x + 475 = 0
x = 25 and 19
II. y2 – 34y + 285 = 0
y2 – 19y – 15y + 285 = 0
y = 19 and 15
Answer: x ≥ y
Hence, Option C is correct.

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MCQ: Quadratic Equations - 2

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