**Directions (1-5) :** In these questions, two equations numbered I and II are given. You have to solve both the equations and

**Give answer :**

x>y

x≥y

x<y

Relationship between x and y cannot be determined

x≤y

**1.**

**I.** x²=81

**II.** y²+13y+36=0

**Ans :** x≥y

**2.**

**I. **3x²-13x+14=0

**II.** 3y²-17y+22=0

**Ans : **x≤y

**3.**

**I.** 2x²+9x+9=0

**II.** 4y²+9y+5=0

**Ans :** x<y

**4.**

**I.** 2x²-11x+14=0

**II.** 2y²-7y+6=0

**Ans :** x≥y

**5.**

**I.** x²-7x+12=0

**II. **2y²-19y+44=0

**Ans :** x≤y

**6.** A and B together can complete a piece of work in 16 days. B alone can complete the same work in 24 days. In how many days can A alone complete the same work?

- 34 days
- 50 days
- 48 days
- 42 days

**Ans : 3**

**7.** The average salary of A, B and C is Rs. 7,200/-. The average salary of B, C and D is Rs. 7,550/-. If D's salary is 25% more than A's salary, what is the average of B and C's salary?

- Rs. 8,950/-
- Rs. 8,450/-
- Rs. 8,300/-
- Rs. 8,700/-

**Ans : 4**

**8.** The respective ratio of the sum invested for 2 years each in Scheme A offering. 10% p.a. compound interest (compounded annually) and in Scheme B offering 8% simple interest is 1:2. Difference between the interests earned from both the schemes is Rs. 990/-. How much was invested in Scheme A?

- Rs. 9,500/-
- Rs. 9,000/-
- Rs. 12,000/-
- Rs. 11,000/-

**Ans : 2**

**9. **If the volume and curved surface area of a cylinder are 462 m³ and 264 m² respectively, what is the total surface area of the cylinder? (in m²)

- 351
- 357
- 363
- 341

**Ans : 4**

**10.** 'A' gave 40% of an amount of 'B' From the money B got, he paid 20% to a tax. Out of the remaining amount, the amounts paid by B towards tuition fees and towards library membership are in the respective ratio of 3:5. If B paid Rs. 1,720/- as library membership fees, how much money did A have at the beginning?

- Rs. 9,000/-
- Rs. 12,400/-
- Rs. 12,000/-
- Rs. 8,600/-

**Ans : 4**