# Quadratic Equation for SBI PO Prelims 2019 | Set -15

## Quadratic Equation for SBI PO Prelims 2019

New Pattern Quant Inequalities Questions. Quadratic Equation PDF. Quadratic Equation Questions. New Pattern Quadratic Equation LIC AAO 2019. Welcome to the www.letsstudytogether.co online Quant section. If you are preparing for SBI PO,LIC AAO Prelims exam, you will come across a section on Quantitative Aptitude. Here we are providing you with “Quadratic Equation for SBI PO Prelims 2019” pattern for your daily practice.

This “Quadratic Equation for SBI PO Prelims” will help you learn concepts on important topics in Quant Section. This Quant subject quiz based on Quadratic Equation for SBI PO & LIC AAO 2019 is also important for other banking exams such as SBI PO, IBPS RRB Officer, IBPS RRB Office Assistant, IBPS SO, SBI SO,Canara Bank and other competitive exams.

## New Pattern Quadratic Equation Questions | Set-15

Direction (1-10) In the following questions two equations numbered I and II are given. You have to solve both the equations and choose the correct option.

##### 1.

I. x2 -29x +208 = 0

II. y2 -22y +85 = 0

##### A. x < y B. x > y C. x ≤ y D. x ≥ y E. x = y or relationship cannot be established

Correct Answer – E. x = y or relationship cannot be established

Explanation:

From equation I:

x2 -29x +208 = (x -13)(x -16)= 0

=> x = 13, 16

From equation II:

y2 -22y +85 = (y -5)(y -17) = 0

=> y = 5, 17

 X = 13 X = 16 Y = 5 x > y x > y Y = 17 x < y x < y

So, relationship cannot be established between x and y

2.

I. x2 +18x +80 = 0

II. 10y2 +29y -72 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – A. x < y

Explanation:

From equation I:

x2 +18x +80 = (x + 8)(x + 10)= 0

=> x = -8, -10

From equation II:

10y2 +29y -72 = (5y -8)(2y + 9) = 0

=> y = 8/5, -9/2

 X = -8 X = -10 Y = 8/5 x < y x < y Y = -9/2 x < y x < y

So, x < y

3.

I. x2 +21x -22 = 0

II. y2 -21y +20 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – C. x ≤ y

Explanation:

From equation I:

x2 +21x -22 = (x + 22)(x -1)= 0

=> x = -22, 1

From equation II:

y2 -21y +20 = (y -20)(y -1) = 0

=> y = 20, 1

 X = -22 X = 1 Y = 20 x < y x < y Y = 1 x < y x = y

So, x ≤ y

4.

I. x2 +25x +66 = 0

II. y2 -5y -14 = 0

##### A. x < y B. x > y C. x ≤ y D. x ≥ y E. x = y or relationship cannot be established

Correct Answer – A. x < y

Explanation:

From equation I:

x2 +25x +66 = (x + 22)(x + 3)= 0

=> x = -22, -3

From equation II:

y2 -5y -14 = (y -7)(y + 2) = 0

=> y = 7, -2

 X = -22 X = -3 Y = 7 x < y x < y Y = -2 x < y x < y

So, x < y

5.

I. x2 -49 = 0

II. y2 -27y +152 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – A. x < y

Explanation:

From equation I:

x2 -49 = (x -7)(x + 7)= 0

=> x = 7, -7

From equation II:

y2 -27y +152 = (y -8)(y -19) = 0

=> y = 8, 19

 X = 7 X = -7 Y = 8 x < y x < y Y = 19 x < y x < y

So, x < y

6.

I. x2 -10x +9 = 0

II. y2 +7y -8 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – D. x ≥ y

Explanation:

From equation I:

x2 -10x +9 = (x -9)(x -1)= 0

=> x = 9, 1

From equation II:

y2 +7y -8 = (y -1)(y + 8) = 0

=> y = 1, -8

 X = 9 X = 1 Y = 1 x > y x = y Y = -8 x > y x > y

So, x ≥ y

7.

I. x2 +11x -102 = 0

II. y2 +40y +399 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – B. x > y

Explanation:

From equation I:

x2 +11x -102 = (x + 17)(x -6)= 0

=> x = -17, 6

From equation II:

y2 +40y +399 = (y + 19)(y + 21) = 0

=> y = -19, -21

 X = -17 X = 6 Y = -19 x > y x > y Y = -21 x > y x > y

So, x > y

8.

I. x2 +19x +34 = 0

II. y2 +23y -24 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – E. x = y or relationship cannot be established

Explanation:

From equation I:

x2 +19x +34 = (x + 17)(x + 2)= 0

=> x = -17, -2

From equation II:

y2 +23y -24 = (y -1)(y + 24) = 0

=> y = 1, -24

 X = -17 X = -2 Y = 1 x < y x < y Y = -24 x > y x > y

So, relationship cannot be established between x and y

9.

I. x2 -32x +252 = 0

II. y2 -7y +12 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer – B. x > y

Explanation:

From equation I:

x2 -32x +252 = (x -18)(x -14)= 0

=> x = 18, 14

From equation II:

y2 -7y +12 = (y -4)(y -3) = 0

=> y = 4, 3

 X = 18 X = 14 Y = 4 x > y x > y Y = 3 x > y x > y

So, x > y

10.

I. x2 -6x -27 = 0

II. y2 +39y +368 = 0

A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

Correct Answer  – B. x > y

Explanation:

From equation I:

x2 -6x -27 = (x -9)(x + 3)= 0

=> x = 9, -3

From equation II:

y2 +39y +368 = (y + 16)(y + 23) = 0

=> y = -16, -23

 X = 9 X = -3 Y = -16 x > y x > y Y = -23 x > y x > y

So, x > y

Note: