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Question 1 of 10

1. Question

Directions:1-5) In each of the following questions, two equations (i) and (ii) are given. Solve them and find the correct option.

a) x^{4}= 28561

b) [(y^{5/2})/√13] = [(2*4) +√25]^{2}

Correct

a)x^{4}= 28561

x= 13 and -13

b) [(y^{5/2})/√13] = [(2*4)+√25]^{2}

[(y^{5/2})/√13]= [8+5]^{2}

y^{5/2}= 13^{1/2}(13)^{2}

y=13

Hence x ≤ y

Incorrect

a)x^{4}= 28561

x= 13 and -13

b) [(y^{5/2})/√13] = [(2*4)+√25]^{2}

[(y^{5/2})/√13]= [8+5]^{2}

y^{5/2}= 13^{1/2}(13)^{2}

y=13

Hence x ≤ y

Question 2 of 10

2. Question

a)3x-2y=12

b)7x-6y=18

Correct

3x-2y=12………… (1)

7x-6y=18………… (2)

Multiply (1) by 3 then we get,

9x-6y=36 ……………. (3)

After solving (2) and (3), we get, x=9 and y=7.5

Hence, x>y

Incorrect

3x-2y=12………… (1)

7x-6y=18………… (2)

Multiply (1) by 3 then we get,

9x-6y=36 ……………. (3)

After solving (2) and (3), we get, x=9 and y=7.5

Hence, x>y

Question 3 of 10

3. Question

a)8x^{2}-34x=- 8

b)23y^{2}-368=0

Correct

a)8x^{2}-34x=-8

8x^{2}-34x+8=0

8x^{2}-32x-2x+8=0

8x(x-4)-2(x-4) =0

x=4 and ¼

b)23y^{2}-368=0

23y^{2}=368

y^{2}=16

y=4 and -4

Hence, the relationship cannot be determined.

Incorrect

a)8x^{2}-34x=-8

8x^{2}-34x+8=0

8x^{2}-32x-2x+8=0

8x(x-4)-2(x-4) =0

x=4 and ¼

b)23y^{2}-368=0

23y^{2}=368

y^{2}=16

y=4 and -4

Hence, the relationship cannot be determined.

Question 4 of 10

4. Question

a)x^{2}+12x+36=0

b)y^{2}+7y+6=0

Correct

a)x^{2}+12x+36=0

x^{2}+6x+6x+36=0

x(x+6)+6(x+6)=0

x=-6 and -6

b)y^{2}+7y+6=0

y^{2 }+y+6y+6=0

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

y=-1 and -6

Hence, x≤y

Incorrect

a)x^{2}+12x+36=0

x^{2}+6x+6x+36=0

x(x+6)+6(x+6)=0

x=-6 and -6

b)y^{2}+7y+6=0

y^{2 }+y+6y+6=0

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

y=-1 and -6

Hence, x≤y

Question 5 of 10

5. Question

a)√360 x + (200)^{1/2}=0

b)√500 y + √402=0

Correct

a)√360 x + (200)^{1/2}=0

√360 x=-√200

x=-0.74

b)√500 y + √402=0

√500 y= -√402

y=-√402/√500

y=-0.89

Hence, x>y

Incorrect

a)√360 x + (200)^{1/2}=0

√360 x=-√200

x=-0.74

b)√500 y + √402=0

√500 y= -√402

y=-√402/√500

y=-0.89

Hence, x>y

Question 6 of 10

6. Question

Directions:6-10) In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.