3 Jun 2017

Practice Aptitude Questions For RBI Grade B & Upcoming Exams 2017

Practice Aptitude Questions For RBI Grade - B & Upcoming Exams 2017:
Practice Aptitude Questions For RBI Grade - B & Upcoming Exams 2017 (Quadratic Equation):
Dear Readers, Important Practice Aptitude Questions for  RBI Grade B 2017 Exam was given here with Solutions. Aspirants those who are preparing for RBI Grade - B and all other Competitive examination can use this.

Directions (Q. 1-10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
a)   If x > y
b)   If x ≥ y
c)   If x < y
d)   If x ≤ y
e)   If x = y or if there is no relation between ‘x’ and ‘y’.

1). I. 15x2 - 46x + 35 = 0
II. 4y2 - 15y + 14 = 0

2). I. x2 + 42 = 13x
II. y= 4√1296

3).I. 3x2 - 23x + 40 = 0
II. 2y2 - 23y + 66 = 0

4). I. x2 + 5x - 6 = 0
II. 2y2 - 11y + 15 = 0

5). I. x2 + x - 2 = 0
II. y2 + 7y + 12 = 0

6). I. 3x2 + 15x + 18 = 0
II. 2y2 + 15y + 27 = 0

7). I. 4x2 + 3x – 1 = 0
II. 6y2 – 5y + 1 = 0

8). I. x2 + 11x + 30 = 0
II. y2 + 9y + 20 = 0

9). I. x = 3√357911
II. y = √5041

10). I. 5x + 7y = -43
II. 9x – 17y = 41

Explanation With Answer Key:
1). I. 15x2 - 25x - 21x + 35 = 0
or 5x(3x - 5) - 7(3x - 5) = 0
or (5x - 7) (3x - 5) = 0
x = 7/5, 5/3

II. 4y2 - 8y - 7y + 14 = 0
or 4y(y - 2) - 7(y - 2) = 0
or (4y - 7) (y - 2) = 0
y = 2, 7/4
Answer is: c)

2).  I. x2 + 42 = 13x
or x2 - 13x + 42 = 0
or x2 - 7x - 6x + 42 = 0
or x(x - 7) - 6(x - 7) = 0
or (x - 6) (x - 7) = 0
x = 6, 7

II. y= 4√1296
y = 6
x ≥ y
Answer is: b)

3).  I. 3x2 - 23x + 40 = 0
or 3x2 - 15x - 8x + 40 = 0
or 3x(x - 5) - 8(x - 5) = 0
or (3x - 8) (x - 5) = 0
x = 5, 8/3

II. 2y2 - 23y + 66 = 0
or 2y2 - 12y - 11y + 66 = 0
or 2y (y - 6) -11 (y - 6) = 0
or (y - 6)(2y - 11) = 0
y = 6, 11/ 2
x < y
Answer is: c)

4).  I. x2 - x + 6x -6 = 0
or x(x - 1) + 6(x - 1) = 0
or (x - 1) (x + 6) = 0
x = 1, -6

II. 2y2 - 6y - 5y + 15 = 0
or 2y(y - 3) - 5(y - 3) = 0
or (y - 3) (2y - 5) = 0
y = 3, 5/2
Answer is: c)

5).  I. x2 + x - 2 = 0
or x2 + 2x - x - 2 = 0
or x(x + 2) - 1(x + 2) = 0
or (x - 1) (x + 2) = 0
x = 1, - 2

II. y2 + 7y + 12 = 0
or y2 + 3y + 4y + 12 = 0
or y(y + 3) + 4(y + 3) = 0
or (y + 3) (y + 4) = 0
y = -3, -4
x > y
Answer is: a)

6). I. 3x2 + 9x + 6x + 18 = 0
or 3x(x + 3) + 6(x + 3) = 0
or (x + 3)(3x + 6) = 0
x = -3, -2
II. 2y2 + 6y + 9y+ 27 = 0
or 2y(y + 3) + 9(y + 3) = 0
or (2y + 9)(y + 3) = 0
y = -3, -9/2
x ≥ y
Answer is: b)

7). I. 4x2 + 4x - x -1 = 0
or 4x(x+ 1)- 1(x + 1) = 0
or (4x - 1) (x + 1) = 0
 x = -1, 1/4

II. 6y2 - 3y - 2y + 1 = 0
or 3y(2y - 1) - 1(2y - 1) = 0
or (3y - 1) (2y - 1) = 0
y = 1/2,1/3
x < y
Answer is: c)

8).  I. x2 + 11x + 30 = 0
or x(x + 5) + 6(x + 5) = 0
or (x + 5) (x + 6) = 0
x = -5, -6

II. y2 + 4y + 5y + 20 = 0
or y(y + 4) + 5(y + 4) = 0
or (y + 4) (y + 5) = 0
y = -4,-5
x ≤ y
Answer is: d)

9). I. x = 3√357911 = x = 71
II. y = √5041 = y = 71
x = y
Answer is: e)

10). Equation (l) ×9  & Equation (II) × 5
45x + 63y = -387
45x - 85y = 205
-        +         -
148y = -592
y = -4 and x = -3
 x > y
Answer is: a)
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