**Direction (Q.1-5): In each of these questions, two equations numbered (I) and (II) are given. You have to solve both the equations and give the answer:**

### Question. 1.

**A.**m ≤ n

**B.**m < n

**C.**m ≥ n

**D.**m > n

**E.**m = n or no relationship can't be established between m and n

**Ans. A.**

**Solution:**

### Question. 2.

I. (x+4)(y-5)=0II. 4xy+60x+16y-100=0

**A.**x ≤ y

**B.**x < y

**C.**x ≥ y

**D.**x > y

**E.**x = y or no relationship can't be established between x and y

**Ans. B.**

**Solution:**

1. (x+4)(y-5)=0

xy-5x+4y-20=0

2. 4xy+60x+16y-100=0

Now, subtract 4 times of equation I from equation II

4xy-20x+16y-80-(4xy+60x+16y-100)=0

4xy-20x+16y-80-4xy-60x-16y+100=0

-80x+20=0

Putting value of x in equation I

y=5

### Question. 3.

I. a=**A.**a ≤ b

**B.**a < b

**C.**a ≥ b

**D.**a > b

**E.**a = b or no relationship can't be established between a and b

**Ans. E.**

**Solution:**

a=

a=17

b=17

### Question. 4.

**A.**x ≤ y

**B.**x < y

**C.**x ≥ y

**D.**x > y

**E.**x = y or no relationship can't be established between x and y

**Ans. .E**

**Solution:**

### Question. 5.

I.II.

**A.**p ≤ q

**B.**p < q

**C.**p ≥ q

**D.**p > q

**E.**p = q or no relationship can't be established between p and q

**Ans. A.**

**Solution:**

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