New
ixamBee Expert Talk Session by ex-GM, NABARD
Login
Register
Home
Questions
Quantitative Aptitude
Quadratic equation
I. p2+ 2p – 8 = 0 II. q2 – 5q + 6 = 0
Question
In each question two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer.
I. p
2
+ 2p – 8 = 0 II. q
2
– 5q + 6 = 0
A
if p = q
Correct Answer
Incorrect Answer
B
if p > q
Correct Answer
Incorrect Answer
C
if q > p
Correct Answer
Incorrect Answer
D
if p ≥ q
Correct Answer
Incorrect Answer
E
if q ≥ p
Correct Answer
Incorrect Answer
Solution
I. p
2
+ 2p – 8 = 0
⇒ (p + 4) ( p – 2) = 0
⇒ p = 2, - 4
II. q
2
– 5q + 6 = 0
⇒ ( q - 3) ( q - 2) = 0
⇒ q = 2, 3
Hence, q ≥ p
Alternate Method:
if signs of quadratic equation is +ve and -ve respectively then the roots of equation will be +ve and -ve. (note: -ve sign will come in larger root)
So, roots of first equation = p = 2, -4
if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve.
So, roots of second equation = q = 2, 3
After comparing roots of quadratic eqution we can conclude that q ≥ p.
Download PDF
Practice Next
More Quadratic equation Questions
I. 2x² + 11 x + 15 = 0 II. 2y² - 19 y + 44 = 0
I. 56x² - 99x + 40 = 0 II. 8y² - 30y + 25 = 0
I. 4x² - 21 x + 20 = 0 II. 8y² - 22 y + 15 = 0
I. 40 x² - 93 x + 54 = 0 II. 30 y² - 61 y + 30 = 0
I. x² - 33x + 270 = 0 II. y² - 41y + 414 = 0
I. 3x
2
– 16x + 21 = 0 II. y
2
– 13y + 42 = 0
I. 2x² - 9x + 10 = 0 II. 3y² + 11y + 6 = 0
I. 15y
2
+ 4y – 4 = 0 II. 15x
2
+ x – 6 = 0
I. 3p² - 17p + 22 = 0 II. 5q² - 21q + 22 = 0
I. 5x² = 19x – 12 II. 5y² + 11y = 12
Relevant for Exams:
SBI Clerk
EPFO SSA (Social Security Assistant)
SIDBI Grade A (Assistant Manager)
Please Register/Login to Download Question
×
I Pledged to:
callback wala button
×
Please Enter Details
Please enter Name
We'll never share your email with anyone else.
Please enter Correct Mobile Number
We'll never share your email with anyone else.
Request a Call Back
Thank You
Update Address
Please enter complete address
Please enter pincode
Please enter State
Select State
Please enter City
Add Address
X