**Directions: In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly-**

- I. 7x
^{2} – 9x + 2 = 0

II. y^{2} – 4y + 3 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option D**

**Solution:**

I. 7x^{2}– 7x – 2x + 2 = 0

or, 7x(x – 1) – 2(x – 1) = 0

(7x – 2) (x – 1) = 0

or, x =2/7 , 1

II. y^{2}– y – 3y + 3 = 0

or, y(y – 1) – 3(y – 1) = 0

or, (y – 3) (y – 1) = 0

y = 1, 3

x <= y

- I. x
^{2}+ x – 20 = 0

II. 2y^{2} – 19y + 45 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D)If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option B**

**Solution:**

I. x^{2}+ x – 20 = 0

or, x^{2}+ 5x – 4x – 20 = 0

or, x(x + 5) – 4(x + 5) = 0

or, (x – 4) (x + 5) = 0

x = 4, – 5

II. 2y^{2}– 10y – 9y + 45 = 0

or, 2y(y – 5) – 9(y – 5) = 0

or, (y – 5) (2y – 9) = 0

y = 5 , 9/2** **

- I. 7x + 3y = 26

II. 2x + 17y = -41

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option A**

**Solution:**

Eqn (I) × 2

Eqn (II) × 7

14x + 6y = 52

14x + 119y = – 287

– 113y = 339

y = – 3 and x = 5, ie x > y

- I. 3x
^{2} – 20x + 33 = 0

II. 2y^{2} – 11y + 15 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option C**

**Solution:**

I. 3x^{2}– 9x – 11x + 33 = 0

or, 3x(x – 3) – 11(x – 3) = 0

or, (3x – 11) (x – 3) = 0

x = 3, 11/3

II. 2y^{2}– 6y – 5y + 15 = 0

or, 2y(y – 3) – 5(y – 3) = 0

or, (y – 3) (2y – 5) = 0

y = 3 , 5/2

- I. 5x
^{2} + 2x – 3 = 0

II. 2y^{2}+ 7y + 6 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option A**

**Solution:**

5x^{2}+ 5x – 3x – 3 = 0

or 5x (x + 1) – 3(x + 1) = 0

or (5x – 3) (x + 1) = 0

x= 3/5, -1

II. 2y^{2}+ 4x + 3y + 6 = 0

or 2y(y + 2) + 3(y + 2) =0

or (2y + 3) (y + 2) = 0

y = -3/2 , -2** **

- I. 35x
^{2} – 53x + 20 = 0

II. 56y^{2} -97y + 42 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E)If x = y or relation cannot be established

View Answer

**Option B**

**Solution:**

I. 35x^{2} – 28x – 25x + 20 = 0

or 7x(5x – 4) – 5(5x – 4) = 0

or (7x – 5) (5x – 4) = 0

x 5/7 , 4/5

II. 56y^{2} – 48y – 49y + 42 = 0

or 8y(7y – 6) – 7(7y – 6) = 0

or (8y – 7) (7y – 6) = 0

y = 7/8 , 6/7

- I. x = 3√4913

II. 13y + 3x = 246

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option A**

**Solution:**

I. x = 3√4913

x = 17
II. 13y = 246 – 3x

or 13y = 246 – 51 = 195

y = 15

x > y

- I. x
^{2} – 5x – 14 = 0

II. y^{2}+ 7y + 10 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D)If x ≤ y

E) If x = y or relation cannot be established

View Answer

**Option C**

**Solution:**

I. x^{2}– 7x + 2x – 14 = 0

or x(x – 7) + 2(x – 7) = 0

(x + 2) (x – 7) = 0

x = -2, 7

II. y^{2}+ 5y + 2y + 10 = 0

or y(y + 5) + 2(y + 5) = 0

or (y + 2) (y + 5) = 0

y = -2, -5

x ≥ y

- I. x
^{2}= 64

II. 2y^{2} + 25y + 72 = 0

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E)If x = y or relation cannot be established

View Answer

**Option E**

**Solution:**

I. x^{2}= 64

x = ±8

II. 2y^{2}+ 9y + 16y + 72 = 0

or, y(2y + 9) + 8(2y + 9) = 0

or, (y + 8) (2y + 9) = 0

y = -8 , -9/2

no relation between x and y.

- I. x
^{2} – 3481 = 0

II. 3y^{2} = 3**√**216000

A) If x > y

B) If x < y

C) If x ≥ y

D) If x ≤ y

E)If x = y or relation cannot be established

View Answer

**Option E**

**Solution:**

I. x^{2}= 3481

x = ± 59

II. 3y^{2}= 3√216000

3y2= 60

y = ± √20

No relation

go to di section of this page if u havnt visited previously …:))

okkkk..don’t vorry….i will convey ur request to our respectful mods….:))

Yes we ll post soon 🙂

again equations are very easy.. oops.

yes sure …we ll post soon

mam plsss maths and reasonong ke jada se jada quiz post kijiye,,,time is very less , we need to improve a lot

yes we ll post 🙂

keep practising old sets bhi dobara kar liya kro 1-2 times usse tumhare concept or achhe se clear ho jayenge

yess mam i am doing old one also….thank u mam…..

second one answer wrong.

yess corrected

2nd nd 4th ques. answer wrong..please rectify it..ty..:):)

yess i ll edit 🙂

okk….:):) puzzles m bht tym lg rha h jo aj wali thi na unme….bht din bad ki h isliye….ap btao aj wali puzzle kitne min. m bnni chahiye…sahi speed??

Yes second1 is wrng

thanku ambika mam 🙂

2)B

4)c

Pls edit it

bro 4th should be C..

mam..2-b

4-c

plzz correct it..

Yes sorry 4)c

thnxxx :))

thanku..mam que 10 m 2nd eqn 60/3 =20 than 20 ka square root nhi nikalana kya i mean y =+20/-20 or root 20

yes

root to be taken.

plz check 10th Ques

2nd Equation solution

yes

root to be taken

done