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SSC CGL Exam  >  SSC CGL Tests  >  Quantitative Aptitude for SSC CGL  >  MCQ: Quadratic Equations - 2 - SSC CGL MCQ

MCQ: Quadratic Equations - 2 - SSC CGL MCQ


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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Quadratic Equations - 2

MCQ: Quadratic Equations - 2 for SSC CGL 2024 is part of Quantitative Aptitude for 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 Quantitative Aptitude for SSC CGL for SSC CGL & MCQ: Quadratic Equations - 2 solutions in Hindi for Quantitative Aptitude 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 Quantitative Aptitude for SSC CGL 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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