 # Quantitative Aptitude: Quadratic Equations Set 7

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. 3x2 – 17x + 10 = 0
II. 3y2 + 4y – 4 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option C
Solution:

3x2 – 17x + 10 = 0
3x2 – 15x – 2x + 10 = 0
Gives x = 2/3, 5
3y2 + 4y – 4 = 0
3y2 + 6y – 2y – 4 = 0
Gives y = -2, 2/3
Put all values on number line and analyze the relationship
-2…. 2/3…… 5
2. I. 3x2 – 14x + 8 = 0
II. 3y2 – 20y + 12 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option E
Solution:

3x2 – 14x +8 = 0
3x2 – 12x – 2x + 8 = 0
Gives x = 2/3, 4
3y2 – 20y + 12 = 0
3y2 – 18y – 2y + 12 = 0
Gives y = 6, 2/3
Put all values on number line and analyze the relationship
2/3….. 4….. 6
3. I. 3x2 – 19x + 28 = 0
II. 4y2 – 5y – 6 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option A
Solution:

4x2 – 19x + 28 = 0
4x2 – 12x – 7x + 28 = 0
Gives x = 7/3, 4
4y2 – 5y – 6 = 0
4y2 – 8y + 3y – 6 = 0
Gives y = -3/4, 2
Put all values on number line and analyze the relationship
-3/4…… 2…… 7/3…. 4
4. I. 6x2 + 23x + 21 = 0
II. 3y2 – 14y – 5 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option B
Solution:

6x2 + 23x + 21 = 0
6x2 + 9x + 14x + 21 = 0
Gives x = -7/3, -3/2
3y2 – 14y – 5 = 0
3y2 – 15y + y – 5 = 0
Gives y = -1/3, 5
Put all values on number line and analyze the relationship
-7/3…… -3/2….. -1/3…… 5
5. I. 2x2 – 7x + 3 = 0
II. 2y2 + 11y + 12 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option A
Solution:

2x2 – 7x + 3 = 0
2x2 – 6x – x + 3 = 0
Gives x = 3, 1/2
2y2 + 11y + 12 = 0
2y2 + 8y + 3y + 12 = 0
Gives y = -3/2, -4
Put all values on number line and analyze the relationship
-4……. -3/2…… 1/2….. 3
6. I. 3x2 + 22x + 35 = 0
II. 6y2 + 11y – 7 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option D
Solution:

3x2 + 22x + 35 = 0
3x2 + 15x + 7x + 35 = 0
Gives x = -5, -7/3
6y2 + 11y – 7 = 0
6y2 – 3y + 14y – 7 = 0
Gives y = 1/2, -7/3
Put all values on number line and analyze the relationship
-5….. -7/3….. 1/2
7. I. 2x2 – 3x – 9 = 0
II. 3y2 + 11y + 6 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option E
Solution:

2x2 – 3x – 9 = 0
2x2 – 6x + 3x – 9 = 0
Gives x = -3/2, 3
3y2 + 11y + 6 = 0
3y2 + 9y + 2y + 6 = 0
Gives y = -3, -2/3
Put all values on number line and analyze the relationship
-3….. -3/2….. -2/3…. 3
8. I. x2 + 14x + 45 = 0
II. 3y2 – y – 10 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option B
Solution:

x2 + 14x + 45 = 0
x2 + 9x + 5x + 45 = 0
Gives x = -9, -5
3y2 – y – 10 = 0
3y2 – 6y + 5y – 10 = 0
Gives y = -5/3, 2
Put all values on number line and analyze the relationship
-9…….. -5….. -5/3……. 2
9. I. 4x2 + 17x + 15 = 0
II. 4y2 – 3y – 10 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option D
Solution:

4x2 + 17x + 15 = 0
4x2 + 12x + 5x + 15 = 0
Gives x = -3, -5/4
4y2 – 3y – 10 = 0
4y2 – 8y + 5y – 10 = 0
Gives y = -5/4, 2
Put all values on number line and analyze the relationship
-3…… -5/4…… 2
10. I. 2x2 – 17x + 36 = 0
II. 3y2 – 14y + 8 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option C
Solution:

2x2 – 17x + 36 = 0
2x2 – 8x – 9x + 36 = 0
Gives x = 4, 9/2
3y2 – 14y + 8 = 0
3y2 – 12y + 2y + 8 = 0
Gives y = 2/3, 4
Put all values on number line and analyze the relationship
2/3…… 4…… 9/2

## 26 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 7”

1. mahika :)

thnk u …az

2. Hemant ahuja?

Gud.

3. Hemant ahuja?

Some square wale bhi do quardic ke

1. Shubhra

Some square which ???

1. Hemant ahuja?

Means square root wale

1. Shubhra

Ok

1. Hemant ahuja?

Plz give me link of tday budget quiz

2. Shubhra

http://aspirantszone.com/union-budget-2017-questions-set-5/

http://aspirantszone.com/union-budget-2017-questions-set-6/

3. lonely little kid

ge mam 🙂

4. Shubhra

Gd Evng :))

5. lonely little kid

🙂 hw r u mam and mam syndicate bank new patern ayega ja old i/p and english

6. Shubhra

I am gud. U tell ?

Abi IDBI me b new pattern aya tha. To expected to new hi hai Syndicate me b.
But kuch kh b nhi sakte

7. lonely little kid

ji mam and mam key scoring are last 5 day jispe krna cahiye ??

8. Shubhra

Key scoring ??
Sorry dint get

9. lonely little kid

means main scoring topic mam

10. Shubhra

Rearrangement can be. That is to find the odd sentence.
Fill in the blanks if come.
Then uske bad depends ki konsa topic apka strong hai

11. lonely little kid

kk ty mam

12. Shubhra

New pattern b practice karo

N new pattern aaega to cutoff English ki kam hi jaegi to attempt accordingly. Ki negative me na chla jae score

2. DJ Waley Babu? ?Ritesh

Maam ur site is providing awesome quiz of english , reasoning .
One suggestion maam .. plz give quant also as question are coming in exams..

1. Shubhra

Ok. sure

4. akil ss

hi shubra can u explain following problem pls

Quantitative Aptitude: Quadratic Equations Set 7

February 19, 2017 Shubhra
Quant Questions Bank PO
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.

I. 3×2 – 17x + 10 = 0
II. 3y2 + 4y – 4 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Option C
Solution:
3×2 – 17x + 10 = 0
3×2 – 15x – 2x + 10 = 0
Gives x = 2/3, 5
3y2 + 4y – 4 = 0
3y2 + 6y – 2y – 4 = 0
Gives y = -2, 2/3
Put all values on number line and analyze the relationship
-2…. 2/3…… 5

1. Shubhra

Yes.
Tell me what u dint get. Then i ll explain accordingly

5. Ayushi

mam 9th q m option E bhi toh ho skta h if the value of x = -20/4 & 3/4 and the value of y = 8/4 & -5/4 …..plz check it once as i have taken 1st eqn as -20 and +3 ….plz tell

1. Shubhra

-20 * +3 = -60

but it should be +60 na

1. Ayushi

kk mam now i understood 🙂

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