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.
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MCQ: Quadratic Equations - 3 - Question 1

### 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

### 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

### 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

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

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

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

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

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

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

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

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

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

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

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

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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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests