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SSC CGL Exam  >  SSC CGL Tests  >  MCQ: Quadratic Equations - 1 - SSC CGL MCQ

MCQ: Quadratic Equations - 1 - SSC CGL MCQ


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15 Questions MCQ Test - MCQ: Quadratic Equations - 1

MCQ: Quadratic Equations - 1 for SSC CGL 2024 is part of SSC CGL preparation. The MCQ: Quadratic Equations - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Quadratic Equations - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Quadratic Equations - 1 below.
Solutions of MCQ: Quadratic Equations - 1 questions in English are available as part of our course for SSC CGL & MCQ: Quadratic Equations - 1 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 - 1 | 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 - 1 - 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. x2 – 16x + 55 = 0
II. y2 + y – 30 = 0

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

I. x2 – 16x + 55= 0
x2 – 5x – 11x + 55 = 0 
x = 5 and 11

II. y2 + y – 30 = 0
y2 + 6y – 5y – 30 = 0
y = – 6 and 5
Answer : x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 1 - 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. x2 + 31x + 168 = 0 
II. y2 + 5y – 14 = 0

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

I. x2 + 31x + 168 = 0 
x2 + 7x + 24x + 168 = 0 
x = – 7 and – 24

II. y2 + 5y – 14 = 0
y2 + 7y – 2y + 30 = 0
y = – 7 and 2
Answer: x ≤ y
Hence, Option B is correct.

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MCQ: Quadratic Equations - 1 - 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. 3x2 – 17x – 28 = 0 
II. 2y2 – 41y + 210 = 0

Detailed Solution for MCQ: Quadratic Equations - 1 - Question 3

I. 3x2 – 17x – 28 = 0
3x2 – 21x + 4x – 28= 0 

II. 2y2– 41y + 210 = 0
2y2 – 20y – 21y + 210 = 0
II. 2y2– 41y + 210 = 0

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

MCQ: Quadratic Equations - 1 - 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 – 7x + 12 = 0
II. y2 + 5y – 24 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 4

I. x2 – 7x + 12 = 0 
x2 – 4x – 3x + 12 = 0 
x = 4 and 3

II. y2 + 5y – 24= 0 
y2 + 8y – 3y – 12 = 0 
y = – 8 and 3
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 1 - 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. 2x2 – 4x + 2 = 0 
II. 2y2 – 15y + 27 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 5

I. 2x2 – 4x + 2 = 0
2x2 – 2x – 2x + 2 = 0

II. 2y2 – 15y + 27 = 0
2y2 – 6y – 9y + 27 = 0

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

MCQ: Quadratic Equations - 1 - 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 + 11x + 28 = 0 
II. 2y2 + 30y + 112 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 6

I. x2 + 11x + 28 = 0
x2 + 4x + 7x + 28 = 0
x = – 4 and – 7

II. 2y2 + 30y + 112= 0
2y2 + 14y + 16y + 112 = 0

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

MCQ: Quadratic Equations - 1 - 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 + 56 = 15x 
II. 2y2 – 23y + 60 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 7

I. x2 + 56 = 15x
x2 – 15x + 56 = 0
x2 – 7x – 8x + 56 = 0
x = 7 and 8

II. 2y2 – 23y + 60 = 0
2y2 – 15y – 8y + 60 = 0

Answer: The relation cannot be established.
Hence, Option D is correct.

MCQ: Quadratic Equations - 1 - 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. 4x – 3y = 16 
II. 7x – 8y = – 16
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 8

I. 4x – 3y = 16 
II. 7x – 8y = – 16 
4x – 3y = 8y – 7x
11x = 11y
x = y
Hence, Option D is correct.

MCQ: Quadratic Equations - 1 - 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 + 27x + 140 = 0
II. y2 – 23y + 126 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 9

I. x2 + 27x + 140 = 0
x2 + 20x + 7x + 140 = 0
x = – 20 and – 7

II. y2 – 23y + 126 = 0
y2 – 14y – 9y + 126 = 0
y = 14 and 9
x < y

MCQ: Quadratic Equations - 1 - 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. 4x + 2y = 38 
II. 3x – 5y = – 30
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 10

I. 4x + 2y = 38
II. 3x – 5y = – 30
→ I × 5 + II × 2
4x × 5 + 3x × 2 = 38 × 5 – 30 × 2
26x = 130
x = 5

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

MCQ: Quadratic Equations - 1 - 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. 4x + 6y = 82 
II. 21x + 4y = 183
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 11

I. 4x + 6y = 82 
II. 21x + 4y = 183
→ 1.50 × II – I
31.50x – 4x = 274.50 – 82
27.50x = 192.50
x = 7
Put the value of x = 7 in I
4 × 7 + 6y = 82 
28 + 6y = 82
6y = 54
y = 9
Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 1 - 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 – 1200 = 169
II. y + 122 = 159
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 12

I. x2 – 1200 = 169
x2 = 1200 + 169
x2 = 1369 = √(1369) = ± 37

II. y + 122 = 159
y = 159 – 122 = 37
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 1 - 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 + 36 = 0 
II. y2 – 7y + 12 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 13

I. x2 – 13x + 36 = 0
x2 – 9x – 4x + 36 = 0
x = 9 and 4

II. y2 – 7y + 12= 0
y2 – 4y – 3y + 12 = 0
y = 4 and 3
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 1 - 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. x – √196 = 0
II. y2 – 196 = 0
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 14

I. x – √196 = 0
x = 14

II. y2 – 196 = 0
y = ±14
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 1 - 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 – 15 = 14x
II. 17y = – 14 – 3y2
Detailed Solution for MCQ: Quadratic Equations - 1 - Question 15

I. x2 – 15 = 14x
x2 – 14x – 15 = 0
x2 – 15x + x – 15 = 0
x = 15 and – 1

II. 17y = – 14 – 3y2
3y2 + 17y + 14 = 0
3y2 + 3y + 14y + 14 = 0 

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

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MCQ: Quadratic Equations - 1

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