Quantitative Aptitude: Quadratic Equations Set 21

Quadratic Equations Practice Sets for IBPS PO, NICL, NIACL, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams.

Directions: In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly-

1. I. 3x2Â – 4x â€“Â 15 = 0,
II. 3y2Â + 11y + 10 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Â Option C
Solution:Â

3x2Â – 4x – 15 = 0
3x2Â – 9x + 5x – 15 = 0
Gives x = -5/3, 3
3y2Â + 11y + 10 = 0
3y2Â + 6y + 5y + 10 = 0
Gives y =Â -2. -5/3
2. I. 3x2Â + 17x + 24 = 0,
II. 3y2Â â€“ 4y â€“ 32 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Â Option D
Solution:Â

3x2Â + 17x + 24 = 0
3x2Â + 17x + 24 = 0
Gives x = -3, -8/3
3y2Â – 4y â€“ 32 = 0
3y2Â – 12y + 8y â€“ 32 = 0
Gives y = -8/3,Â 4
3. I. 3x2Â â€“ 2x â€“ 16 = 0,
II. 3y2Â â€“ 20y + 32 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Â Option D
Solution:Â

3x2Â – 2x â€“ 16 = 0
3x2Â – 2x â€“ 16 = 0
Gives x =Â -2, 8/3
3y2Â â€“ 20y + 32 = 0
3y2Â â€“ 20y + 32 = 0
Gives y = 8/3,Â 4
4. I. 2x2Â + 5x â€“ 12 = 0,
II. 4y2Â â€“ 19y â€“Â 30 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Â Option E
Solution:Â

2x2Â + 5x â€“ 12 = 0
2x2Â + 8x – 3x â€“ 12 = 0
Gives x = -4, 3/2
4y2Â – 19y – 30 = 0
4y2Â – 24y + Â 5y – 30 = 0
Gives y= -5/4, 6
5. I. 2x2Â â€“ 17x + 36 = 0,
II. 3y2Â â€“ 2y â€“ 8 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Â Option A
Solution:Â

2x2Â – 17x + 36 = 0
2x2Â – 8x – 9x + 36 = 0
Gives x =Â 4, 9/2
3y2Â â€“ 2y â€“ 8 = 0
3y2Â â€“ 6y + 4y â€“ 8 = 0
Gives y= -4/3, 2
6. I. 3x2Â + 19x + 30 = 0,
II. 2y2Â + 3y â€“Â 2 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Â Option B
Solution:Â

3x2Â + 19x + 30 = 0
3x2Â + 9x + 10x + 30 = 0
Gives x = -10/3, -3
2y2Â + 3y â€“Â 2 = 0
2y2Â + 4y – y â€“Â 2 = 0
Gives y = -2, 1/2
7. I. 5x2Â + 11x â€“Â 12 = 0,
II. 3y2Â + 7y â€“ 6 = 0
A) x > y
B) x < y
C) x â‰¥ y
D) x â‰¤ y
E) x = y or relationship cannot be determined
Â Option E
Solution:Â

5x2Â + 11x – 12 = 0
5x2Â + 15x – 4x – 12 = 0
Gives x = -3,Â 4/5
3y2Â + 7y â€“ 6 = 0
3y2Â + 9y – 2y â€“ 6 = 0
So y = -3,Â 2/3
8. I. 3x2Â + x â€“ 10 = 0,
II. 2y2Â + 11y + 14 = 0
A) x > y
B) x < y
C) x â‰¥ y
D) x â‰¤ y
E) x = y or relationship cannot be determined
Â Option C
Solution:Â

3x2Â + x â€“ 10 = 0
3x2Â + 6x – 5x â€“ 10 = 0
Gives x = -2, 5/3
2y2Â + 11y + 14 = 0
2y2Â + 4y + 7y + 14 = 0
So y = -7/2, -2
9. I. 3x2Â + 19x + 30 = 0,
II. 2y2Â â€“ 3y â€“ 20 = 0
A) x > y
B) x < y
C) x â‰¥ y
D) x â‰¤ y
E) x = y or relationship cannot be determined
Â Option B
Solution:Â

3x2Â + 19x + 30 = 0
3x2Â + 9x + 10x + 30 = 0
Gives x = -3, -10/3
2y2Â â€“ 3y â€“ 20 = 0
2y2Â â€“ 8y + 5y â€“ 20 = 0
So y = -5/2, 4
10. I. 2x2Â â€“ x â€“Â 36 = 0,
II. 2y2Â â€“ 21y + 54 = 0
A) x > y
B) x < y
C) x â‰¥ y
D) x â‰¤ y
E) x = y or relationship cannot be determined
Â Option D
Solution:Â

2x2Â â€“ x – 36 = 0
2x2Â + 8x – 9x – 36 = 0
Gives x = -4, 9/2
2y2Â â€“ 21y + 54 = 0
2y2Â â€“ 12y – 9y + 54 = 0
So y = 9/2, 6

11 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 21”

1. Divaker

Please post root based equations as well

1. Next time

2. Sachin Shukla

10/10 thankuu:))

3. karthik

please give us these questions are in decimal and fractions in tricky way..

1. Yes. Next time

4. PHENOMENAL

@Shubhra_AspirantsZone:disqus maam new pattern inequality link plzz same as that came in sbi po mains

5. jitendra srivastav

plz provide higher level questions

6. MiMi

thnk u mam :))

7. Ayushi

thanxx

8. Chotu D(mind) !! {NONSENSE}

done,,