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

I. \( \Large x^{2} \) - 7x + 12 = 0

II. \( \Large y^{2} \) - 12y + 32 = 0


A) x > y

B) x \( \Large \geq \) y

C) x < y

D) x \( \Large \leq \) y

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

Description for Correct answer:
I. \( \Large x^{2} \) - 7x + 12 = 0

=> \( \Large x^{2} \) - 4x - 3x + 12 = 0

=> x ( x - 4 ) - 3 ( x - 4 ) = 0

=> ( x - 3 )( x - 4 ) = 0

=> x = 3 or 4

II. \( \Large y^{2} \) - 12y + 32 = 0

=> \( \Large y^{2} \) - 8y - 4y + 32 = 0

=> y ( y - 8 ) - 4 ( y - 8 ) = 0

=> ( y - 4 )( y - 8 ) = 0

=> y = 4 or 8

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

I. \( \Large x^{3} \) - 371 = 629

II. \( \Large y^{3} \) - 543 = 788
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
2). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. 5x + 2y = 31

II. 3x + 7y = 36
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
3). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large 2x^{2} \) + 11x + 12 = 0

II. \( \Large 5y^{2} \) + 27y + 10 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x = y or the relationship cannot be established.
-- View Answer
4). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I.\( \Large 2x^{2} \) + 11x + 14 = 0

II.\( \Large 4y^{2} \) + 12y + 9 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- 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.\( \Large x^{2} \) - 4 = 0

II.\( \Large y^{2} \) + 6y + 9 = 0
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.\( \Large x^{2} \) - 7x + 12 = 0

II.\( \Large y^{2} \) + y - 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. \( \Large x^{2} \) = 729

II. y = \( \Large \sqrt{729} \)
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- 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. \( \Large x^{4} \) - 227 = 398

II. \( \Large y^{2} \) + 321 = 346
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x = y or the relationship cannot be established.
-- 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. \( \Large x^{2} \) - x - 12 = 0

II. \( \Large y^{2} \) + 5y + 6 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
10). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) - 8x + 15 = 0

II. \( \Large y^{2} \) - 3y + 2 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer