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Sunday, 25 September 2016

Quadratic Equations Practice Problems

                             QUADRATIC EQUATIONS


    

    5 MARKS QUESTIONS DEFINITELY FOR IBPS PO PRELIM EXAMS     


Directions (Q. 1-5): Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer.


(1)
if x > y
(2)
if x < y
(3) if x   y

(4)
if x  y
(5)
if x = y or no relation can be established between ‘x’ and ‘y’.
1.
I.
6x2 - 19x + 15 = 0
II.
10y2 - 29y + 21 = 0

2.
I.
12x2 + 11x - 56 = 0
II.
4y2 - 15y + 14 = 0

3.
I.
3x2 + 13x + 12 = 0
II.
y2 + 9y + 20 = 0

4.
I.
8x2 - 15x + 7 = 0
II.
2y2 - 7y + 6 = 0

5.
I.
7x - 3y = 13
II.
5x + 4y = 40


Directions (Q. 6-10): In the following questions, two equations numbered I and II are given.

You have to solve both the equations and give answer


(1)
if x > y
(2)
if x < y
(3) if x   y

(4)
if x  y
(5)  if x = y or no relation can be established between x and
6.
I.
2x2
- 11x + 15 = 0
II. 21y2 - 23y + 6 = 0
7.
I.
5x2
- 16x + 11= 0
II.
5y2
- 3y
- 2 = 0
8.
I.
x2 + 11x + 28 = 0
II.
2y2
+ 13y + 20 = 0
9.
I.
6x2 + 29x + 35 = 0
II.
3y2
+ 19y + 30 = 0
10.
I.
2x + 5y = 6
II.
5x + 11y = 9


Directions (Q. 11 - 20): Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between x and y and give answer




(1)
if x > y
(2) if x < y
(3)
if x  y

(4) if x  y


(5)  if x = y, or no relation can be established between x and y.

16.
I.
x = 4



II.
2y2
- 9y
- 56 = 0

2401


17.
I.
5x2
+ 3x - 14 = 0
II.
2y2
- 9y
+ 10 = 0

18.
I.
8x2
+ 31x + 21 = 0
II.
5y2
+ 11y - 36 = 0

19.
I.
3x - y = 12

II.
y =





1089


20.
I.
15x2 + 68x + 77 = 0
II.
3y2
+ 29y + 68 = 0

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