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SSC CGL Exam  >  SSC CGL Tests  >  Quantitative Aptitude for SSC CGL  >  MCQ: Quadratic Equations - 3 - SSC CGL MCQ

MCQ: Quadratic Equations - 3 - SSC CGL MCQ


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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Quadratic Equations - 3

MCQ: Quadratic Equations - 3 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Quadratic Equations - 3 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Quadratic Equations - 3 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Quadratic Equations - 3 below.
Solutions of MCQ: Quadratic Equations - 3 questions in English are available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & MCQ: Quadratic Equations - 3 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 - 3 | 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 - 3 - 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 – 32x + 247 = 0 
II. y2 – 24y + 143 = 0

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

I. x2 – 32x + 247 = 0
x2 – 19x – 13x + 247 = 0
x = 19 and 13
II. y2 – 24y + 143 = 0
y2 – 13y – 11y + 143 = 0
y = 13 and 11
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 3 - 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 = 64 
II. 2y2 + 25y + 72 = 0

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

I. x2 = 64
x = ±8
II. 2y2 + 25y + 72 = 0
2y2 + 9y + 16y + 72 = 0

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

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MCQ: Quadratic Equations - 3 - 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. 7x + 12y = 13 
II. 12x + 17y = 8

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

I. 7x + 12y = 13 
II. 12x + 17y = 8
→ I × 12 – II × 7
12y × 12 – 17y × 7 = 13 × 12 – 8 × 7
25y = 100
y = 4
7x + 12 × 4 = 13 
x = – 5 
Answer: x < y
Hence, Option D is correct.

MCQ: Quadratic Equations - 3 - 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 + 13x + 40 = 0
II. y2 + 8y + 15 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 4

I. x2 + 13x + 40 = 0
x2 + 8x + 5x + 40 = 0 
x = –8 and –5
II. y2 + 8y + 15 = 0
y2 + 3y + 5y + 15 = 0 
y = – 3 and –5
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 3 - 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. 8x + 2y = 90
II. 3x + 7y = 90
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 5

8x + 2y = 3x + 7y
8x –  3x = 7y –  2y
x = y
Answer: x = y
Hence, Option D is correct.

MCQ: Quadratic Equations - 3 - 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 – 9x + 14 = 0 
II. y2 – 14y + 49 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 6

I. x2 – 9x + 14 = 0
x2 – 7x – 2x + 14 = 0
x = 7 and 2
II. y2 – 14y + 49 = 0
y2 – 7y – 7y + 49 = 0
y = 7 and 7
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 3 - 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 + x – 20 = 0 
II. 4y2 – 34y + 72 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 7

I. x2 + x – 20 = 0
x2 + 5x – 4x – 20 = 0
x = 4 and – 5
II. 4y2 – 34y + 72 = 0
4y2 – 18y – 16y + 72 = 0

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

MCQ: Quadratic Equations - 3 - 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. 2x2 – 21x + 49 = 0 
II. 2y2 – 29y + 102 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 8

I. 2x2 – 21x + 49 = 0
2x2 – 7x – 14x + 49 = 0

II. 2y2 – 29y + 102 = 0
2y2 – 12y – 17y + 102 = 0

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

MCQ: Quadratic Equations - 3 - 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. x = ∛2197 
II. 2y2 – 56y + 390 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 9

I. x = ∛2197
x = 13
II. 2y2 – 56y + 390 = 0
2y2 – 30y – 26y + 390 = 0

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

MCQ: Quadratic Equations - 3 - 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. 2x2 + 26x + 84 = 0 
II. y2 + 11y + 30 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 10

I. 2x2 + 26x + 84 = 0
2x2 + 14x + 12x + 84 = 0

II. y2 + 11y + 30 = 0
y2 + 5y + 6y + 30 = 0
y = – 5 and – 6
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 3 - 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. x2 – 18x + 65 = 0 
II. 2y2 – 11y + 14 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 11

I. x2 – 18x + 65 = 0
x2 – 5x – 13x + 65 = 0
x = 5 and 13
II. 2y2 – 11y + 14 = 0
2y2 – 7y – 4y + 14 =0

Answer: x > y
Hence, Option A is correct.

MCQ: Quadratic Equations - 3 - 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 – 14x + 45 = 0 
II. y2 + 2y – 35 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 12

I. x2 – 14x + 45 = 0
x2 – 9x – 5x + 45 =0
x = 9 and 5
II. y2 + 2y – 35 = 0
y2 + 7y – 5y – 35 = 0
y = – 7 and 5
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 3 - 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 – 38x + 72 = 0
II. y2 – 3y + 2 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 13

I. x2 – 38x + 72 = 0
x2 – 36x – 2x + 72 = 0 
x = 36 and 2
II. y2 – 3y + 2 = 0
y2 – y – 2y + 2 = 0 
y = 1 and 2 
Answer: x ≥ y
Hence, Option C is correct.

MCQ: Quadratic Equations - 3 - 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 + 2x – 15 = 0
II. y2  – 7y + 12 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 14

I. x2 + 2x – 15 = 0
x2 + 5x – 3x – 15 = 0 
x= 3 and – 5
II. y2  – 7y + 12 = 0
y2 – 4x – 3y + 12 = 0 
y = 4 and 3
Answer: x ≤ y
Hence, Option B is correct.

MCQ: Quadratic Equations - 3 - 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. x3 – 9x2 + 18x = 0
II. y2 + 22y + 85 = 0
Detailed Solution for MCQ: Quadratic Equations - 3 - Question 15

I. x3 – 9x2 + 18x = 0
x(x2 – 9x + 18) = 0
x2 – 9x + 18 = 0
x2 – 6x – 3x + 18 = 0
x = 0, 6 and 3
II. y2 + 22y + 85 = 0
y2 + 17y + 5y + 85 = 0
y = – 17 and – 5
x > y
Hence, Option A is correct.

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