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Question 1 of 10

1. Question

Directions:1-5) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,

I) 4x-3y-2=0

II) 6x+y-36=0

Correct

I) 4x-3y-2=0 …………..(1)

II) 6x+y-36=0 …………………. (2)

After solving (i) and (ii), we have

x=5 and y=6

Hence x<y

Incorrect

I) 4x-3y-2=0 …………..(1)

II) 6x+y-36=0 …………………. (2)

After solving (i) and (ii), we have

x=5 and y=6

Hence x<y

Question 2 of 10

2. Question

I) x^{2}-4x-621=0

II) y^{2}-35y+276=0

Correct

I) x^{2}-4x-621=0

x^{2}-27x+23x-621=0

(x-27)(x+23)=0

x=27 or -23

II) y^{2}-35y+276=0

y^{2}-23y-12y+276=0

(y-23)(y-12)=0

y=23 or 12

Hence the relationship cannot be determined.

Incorrect

I) x^{2}-4x-621=0

x^{2}-27x+23x-621=0

(x-27)(x+23)=0

x=27 or -23

II) y^{2}-35y+276=0

y^{2}-23y-12y+276=0

(y-23)(y-12)=0

y=23 or 12

Hence the relationship cannot be determined.

Question 3 of 10

3. Question

I) 3x^{2}+25x-18=0

II) 18y^{2}-41y+21=0

Correct

I) 3x^{2}+25x-18=0

3x^{2}+27x-2x-18=0

(x+9) (3x-2) =0

x=2/3 or -9

II) 18y^{2}-41y+21=0

18y^{2}-27y-14y+21=0

(2y-3)(9y-7)=0

y=3/2 or 7/9

Hence x<y

Incorrect

I) 3x^{2}+25x-18=0

3x^{2}+27x-2x-18=0

(x+9) (3x-2) =0

x=2/3 or -9

II) 18y^{2}-41y+21=0

18y^{2}-27y-14y+21=0

(2y-3)(9y-7)=0

y=3/2 or 7/9

Hence x<y

Question 4 of 10

4. Question

I) 6x^{2}+x-2=0

II) 30y^{2}+11y+1=0

Correct

I) 6x^{2}+x-2=0

6x^{2}-3x +4x -2 =0

(2x-1)(3x+2)=0

x=1/2 or -2/3

II) 30y^{2}+11y+1=0

30y^{2}+6y+5y+1=0

(5y+1)(6y+1)=0

y=-1/5 or -1/6

Hence the relationship cannot be determined.

Incorrect

I) 6x^{2}+x-2=0

6x^{2}-3x +4x -2 =0

(2x-1)(3x+2)=0

x=1/2 or -2/3

II) 30y^{2}+11y+1=0

30y^{2}+6y+5y+1=0

(5y+1)(6y+1)=0

y=-1/5 or -1/6

Hence the relationship cannot be determined.

Question 5 of 10

5. Question

I) x^{3}=1728

II) y^{2}=144

Correct

I) x^{3}=1728

x=12

II) y^{2}=144

y=12 or -12

Hence x ≥ y

Incorrect

I) x^{3}=1728

x=12

II) y^{2}=144

y=12 or -12

Hence x ≥ y

Question 6 of 10

6. Question

Directions:6-10) In the following questions, two Equations I and II are given. You have to solve both the equation.