0
Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

I. 2x2-13x-189=0 II. 2y2-3y-189=0

A) x>y B)  x≥y
C)  x<y D) x≤y

Answer:   



Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

Subject: Simplification
Q:

1.123 + 11.23 + 112.3 = ?

 

A) 123.453 B) 124.653
C) 125.253 D) 123.953
 
Answer & Explanation Answer: B) 124.653

Explanation:
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4 32285
Q:

Find the factors of (x2 - x - 132)?

 

A) x - 11x - 12 B) (x + 12)(x - 11)
C) (x + 11)(x + 12) D) (x - 12)(x + 11)
 
Answer & Explanation Answer: D) (x - 12)(x + 11)

Explanation:
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Q:

What is the simplified value of 5 + 45 - 4 + 5 - 45 + 4 ?

 

A) 9 B) 10
C) 18 D) 20 
 
Answer & Explanation Answer: C) 18

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0 52366
Q:

 

A) 110 B) 220
C) 330 D) 440
 
Answer & Explanation Answer: C) 330

Explanation:
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2 828
Q:

What is the value of 6x2 - 5y26x2 + 5y2, if x = 13 and y = 15?

 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: B) 3

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1 38630
Q:

The two equations are 4x + 4ky-6=0 and x+6y-12=0. Find the value of k for the pair of two linear equations represents the parallel lines.

 

A) 2 B)  6
C) 8 D) 10
 
Answer & Explanation Answer: B)  6

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1 942
Q:

Find the y-intercept of the line joining two points (1, 3) and (3, 5).

 

A) -2 B) 0
C) 2 D) 4
 
Answer & Explanation Answer: C) 2

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1 21279
Q:

Calculate the total numbers of prime factors in the expression (5)11 x (5)7 x (7)5 x (3)2 x (17)2.

 

A) 35 B)  36
C) 37 D) 38
 
Answer & Explanation Answer: D) 38

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