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.**15x

^{2}– 46x + 35 = 0

**II.**4y

^{2}– 15y + 14 = 0

**2). I.**x

^{2}+ 42 = 13x

**II.**y=

^{4}√1296

**3).I.**3x

^{2}– 23x + 40 = 0

**II.**2y

^{2}– 23y + 66 = 0

**4). I.**x

^{2}+ 5x – 6 = 0

**II.**2y

^{2}– 11y + 15 = 0

**5). I.**x

^{2}+ x – 2 = 0

**II**. y

^{2}+ 7y + 12 = 0

**6). I.**3x

^{2}+ 15x + 18 = 0

**II.**2y

^{2}+ 15y + 27 = 0

**7). I.**4x

^{2}+ 3x – 1 = 0

**II.**6y

^{2}– 5y + 1 = 0

**8). I.**x

^{2}+ 11x + 30 = 0

**II.**y

^{2}+ 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.**15x

^{2}– 25x – 21x + 35 = 0

or 5x(3x – 5) – 7(3x – 5) = 0

or (5x – 7) (3x – 5) = 0

x = 7/5, 5/3

**II.**4y

^{2}– 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.**x

^{2}+ 42 = 13x

or x

^{2}– 13x + 42 = 0or x

^{2}– 7x – 6x + 42 = 0or 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.**3x

^{2}– 23x + 40 = 0

or 3x

^{2}– 15x – 8x + 40 = 0or 3x(x – 5) – 8(x – 5) = 0

or (3x – 8) (x – 5) = 0

x = 5, 8/3

**II.**2y

^{2}– 23y + 66 = 0

or 2y

^{2}– 12y – 11y + 66 = 0or 2y (y – 6) -11 (y – 6) = 0

or (y – 6)(2y – 11) = 0

y = 6, 11/ 2

x< y

**Answer is: c)**

**4). I.**x

^{2}– x + 6x -6 = 0

or x(x – 1) + 6(x – 1) = 0

or (x – 1) (x + 6) = 0

x = 1, -6

**II.**2y

^{2}– 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.**x

^{2}+ x – 2 = 0

or x

^{2}+ 2x – x – 2 = 0or x(x + 2) – 1(x + 2) = 0

or (x – 1) (x + 2) = 0

x = 1, – 2

**II.**y

^{2}+ 7y + 12 = 0

or y

^{2}+ 3y + 4y + 12 = 0or y(y + 3) + 4(y + 3) = 0

or (y + 3) (y + 4) = 0

y = -3, -4

x> y

**Answer is: a)**

**6). I.**3x

^{2}+ 9x + 6x + 18 = 0

or 3x(x + 3) + 6(x + 3) = 0

or (x + 3)(3x + 6) = 0

x = -3, -2

**II.**2y

^{2}+ 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.**4x

^{2}+ 4x – x -1 = 0

or 4x(x+ 1)- 1(x + 1) = 0

or (4x – 1) (x + 1) = 0

x = -1, 1/4

**II.**6y

^{2}– 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.**x

^{2}+ 11x + 30 = 0

or x(x + 5) + 6(x + 5) = 0

or (x + 5) (x + 6) = 0

x = -5, -6

II. y

^{2}+ 4y + 5y + 20 = 0or 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

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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