In the following question two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large 8x^{2} \) + 3x = 38

II. \( \Large 6y^{2} \) + 34 = 29y


A) x > y

B) x \( \Large \leq \) y

C) x < y

D) x \( \Large \geq \) y

Correct Answer:
B) x \( \Large \leq \) y

Description for Correct answer:
I. 8 \( \Large x^{2} \) + 3x - 38 = 0

=> 8 \( \Large x^{2} \) + 19x - 16x - 38 = 0

=> x ( 8x + 19 ) - 2 ( 8x + 19 ) = 0

=> ( 8x + 19 ) ( x - 2) = 0

=> x = 2 or - \( \Large \frac{19}{8} \)

II. 6 \( \Large y^{2} \) - 29y + 34 = 0

=> 6 \( \Large y^{2} \) - 17y - 12y + 34 = 0

=> y ( 6y - 17 ) - 2 ( 6y - 17 ) = 0

=> ( y - 2 ) ( 6y - 17 ) = 0

=> y = 2 or \( \Large \frac{17}{6} \)

Clearly, x \( \Large \leq \) y.

Part of solved Linear Equations questions and answers : >> Aptitude >> Linear Equations








Comments

No comments available




Similar Questions
1). In the following questions two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) + 91 = 20x

II. \( \Large 10y^{2} \) - 29y + 21 = 0
A). x > y
B). x \( \Large \leq \) y
C). x < y
D). x \( \Large \geq \) y
-- View Answer
2). In the following questions two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large 6x^{2} \) + 13x + 5 = 0

II. \( \Large 9y^{2} \) + 22y + 8 = 0
A). x > y
B). x \( \Large \leq \) y
C). x < y
D). x = y or relationship between x and y cannot be established
-- View Answer
3). In the following question two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large (x+y)^{2} \) = 784

II. 92551 = 92567 - y
A). x > y
B). x \( \Large \leq \) y
C). x < y
D). x \( \Large \geq \) y
-- View Answer
4). If 4x + 5y = 83 and \( \Large \frac{3x}{2y} \) = \( \Large \frac{21}{22} \) then what is the value of y - x ?
A). 3
B). 4
C). 7
D). 11
-- View Answer
5). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) - 14x + 48 = 0

II. \( \Large y^{2} \) + 6 = 5y
A). X > Y
B). X \( \Large \geq \) Y
C). X < Y
D). X \( \Large \leq \) Y
-- View Answer


6). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) + 9x +20 = 0

II. \( \Large y^{2} \) + 7y + 12 = 0
A). X > Y
B). X \( \Large \geq \) Y
C). X < Y
D). X \( \Large \leq \) Y
-- View Answer
7). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) = 529

II. y = \( \Large \sqrt{529} \)
A). X > Y
B). X \( \Large \geq \) Y
C). X < Y
D). X = Y or the relationship cannot be established
-- View Answer
8). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) + 13x = - 42

II. \( \Large y^{2} \) + 16y + 63 = 0
A). X > Y
B). X \( \Large \geq \) Y
C). X < Y
D). X \( \Large \leq \) Y
-- View Answer
9). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. 2x + 3y = 14

II. 4x + 2y = 16
A). X > Y
B). X \( \Large \geq \) Y
C). X < Y
D). X \( \Large \leq \) Y
-- View Answer
10). If 3y + 9x = 54 and \( \Large \frac{28x}{13y} \) = \( \Large \frac{140}{39} \) then what is the value of y - x ?
A). -1
B). -2
C). 2
D). 1
-- View Answer