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IBPS PO Study Planner Quadratic Equation Day 8 No.of Questions: 10 Time : 10 minutes All the Best!!!

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Question 1 of 10

1. Question

1 points

Category: Aptitude

D. 1-5) In the following questions, two equations A and B are given. You have to solve both the equations and give answer:

I. 2x^2+5x+1=x^2+2x-1

II. 2y^2-8y+1=-5

Correct

(b)

I. 2x^2+5x+1=x^2+2x-1

x(x+2)+1(x+2)=0

(x+2)(x+1)=0

x=-2, -1

II. 2y^2-8y+1=-5

y^2-4y+3=0

y=1, 3

So, y>x

Incorrect

(b)

I. 2x^2+5x+1=x^2+2x-1

x(x+2)+1(x+2)=0

(x+2)(x+1)=0

x=-2, -1

II. 2y^2-8y+1=-5

y^2-4y+3=0

y=1, 3

So, y>x

Question 2 of 10

2. Question

1 points

Category: Aptitude

D. 1-5) In the following questions, two equations A and B are given. You have to solve both the equations and give answer:

I. x^2/2+x-1/2=1

II. 3y^2-10y+8=y^2+2y-10

Correct

(b)

x=-3, 1

y=3, 3

So, y>x

Incorrect

(b)

x=-3, 1

y=3, 3

So, y>x

Question 3 of 10

3. Question

1 points

Category: Aptitude

D. 1-5) In the following questions, two equations A and B are given. You have to solve both the equations and give answer:

I. 4x^2-20x+19=4x-1

II. 2y^2=26y-84

Correct

(b)

I. 4x^2-24x+20=0

x^2-6x+5=0

(x-5)(x-1)=0

x=5, 1

II. 2y^2=26y-84

y^2=13y-42

y^2-13y+42=0

y^2-7y-6y+42=0

(y-7)(y-6)=0

y=7, 6

So, y>x

Incorrect

(b)

I. 4x^2-24x+20=0

x^2-6x+5=0

(x-5)(x-1)=0

x=5, 1

II. 2y^2=26y-84

y^2=13y-42

y^2-13y+42=0

y^2-7y-6y+42=0

(y-7)(y-6)=0

y=7, 6

So, y>x

Question 4 of 10

4. Question

1 points

Category: Aptitude

D. 1-5) In the following questions, two equations A and B are given. You have to solve both the equations and give answer:

I. x^2/2-3/2 x=x-3

y^2+y-1=4-2y-y^2

Correct

(a)

I. x^2/2-3/2 x=x-3

x^2-3x=2x-6

x^2-5x+6=0

x=3,2

II. y^2+y-1=4-2y-y^2

2y^2+3y-5=0

2y^2+5y-2y-5=0

y=-5/2, 1

So, x>y

Incorrect

(a)

I. x^2/2-3/2 x=x-3

x^2-3x=2x-6

x^2-5x+6=0

x=3,2

II. y^2+y-1=4-2y-y^2

2y^2+3y-5=0

2y^2+5y-2y-5=0

y=-5/2, 1

So, x>y

Question 5 of 10

5. Question

1 points

Category: Aptitude

D. 1-5) In the following questions, two equations A and B are given. You have to solve both the equations and give answer:

I. 6x^2+13x=12-x

II. 1+2y^2=2y+5y/6

Correct

(e)

I. 6x^2+13x=12-x

3x^2+7x-6=0

(x+3)(3x-2)=0

x= -3, 2/3

II. 1+2y^2=2y+5y/6

1+2y^2=17/16 y

12y^2-17y+6=0

12y^2-8y-9y+6=0

y=2/3, 3/4

So, x≤y

Incorrect

(e)

I. 6x^2+13x=12-x

3x^2+7x-6=0

(x+3)(3x-2)=0

x= -3, 2/3

II. 1+2y^2=2y+5y/6

1+2y^2=17/16 y

12y^2-17y+6=0

12y^2-8y-9y+6=0

y=2/3, 3/4

So, x≤y

Question 6 of 10

6. Question

1 points

Category: Aptitude

D.6-10) In the following questions, two equations A and B are given. You have to solve both the equations and Give answer:

I. x^2=169

II. y-√144=0

Correct

(e)

I. x=±13

II. y=12

So, No relationship cannot be determined

Incorrect

(e)

I. x=±13

II. y=12

So, No relationship cannot be determined

Question 7 of 10

7. Question

1 points

Category: Aptitude

D.6-10) In the following questions, two equations A and B are given. You have to solve both the equations and Give answer:

I. 12x^2+11x+12=10x^2+22x

II. 13y^2-18y+3=9y^2-10y

Correct

(b)

I. 12x^2+11x+12=10x^2+22x

2x^2-11x+12=0

(x-4)(2x-3)=0

x=4, 3/2

II. 13y^2-18y+3=9y^2-10y

4y^2-8y+3=0

(2y-3)(2y-1)=0

y=3/2, 1/2

So, x≥y

Incorrect

(b)

I. 12x^2+11x+12=10x^2+22x

2x^2-11x+12=0

(x-4)(2x-3)=0

x=4, 3/2

II. 13y^2-18y+3=9y^2-10y

4y^2-8y+3=0

(2y-3)(2y-1)=0

y=3/2, 1/2

So, x≥y

Question 8 of 10

8. Question

1 points

D.6-10) In the following questions, two equations A and B are given. You have to solve both the equations and Give answer:

I. 18/x^2 +6/x-12/x^2 =8/x^2

II. y^3+9.68+5.64=16.95

Correct

(c)

I. 18/x^2 +6/x-12/x^2 =8/x^2

6x+6=8

x=2/6=0.33

II. y^3+9.68+5.64=16.95

y^3=16.95-15.32

y^3=1.63

y=∛1.63

y=1.176

So, x < y

Incorrect

(c)

I. 18/x^2 +6/x-12/x^2 =8/x^2

6x+6=8

x=2/6=0.33

II. y^3+9.68+5.64=16.95

y^3=16.95-15.32

y^3=1.63

y=∛1.63

y=1.176

So, x < y

Question 9 of 10

9. Question

1 points

Category: Aptitude

D.6-10) In the following questions, two equations A and B are given. You have to solve both the equations and Give answer:

I. √1225x+√4900=0

II. (81)^(1/4) y+(343)^(1/3) =0

Correct

(a)

I. x= -2

II. y= -2.33

Incorrect

(a)

I. x= -2

II. y= -2.33

Question 10 of 10

10. Question

1 points

Category: Aptitude

D.6-10) In the following questions, two equations A and B are given. You have to solve both the equations and Give answer: