**1**.) A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

**A**.) 08 Liters

**B**.) 10 Liters

**C**.) 18 Liters

**D**.) 22 Liters

**View Answer**

**Answer: **Option **B**

**Explanation:**

Let the quantity of alcohol and water be 4x liters and 3x liters respectively. Then,

4X/3x+5 =4/5 à 20x = 4(3x+5)

8x=20 à x=2.5

Quantity of alcohol = (4 **x** 2.5) liters = 10 liters.

**2**.) If 0.75: x :: 5:8, then x is equal to:

**A**.) 1.12

**B**.) 1.16

**C**.) 1.20

**D**.) 1.30

**View Answer**

**Answer: **Option **C**

**Explanation:**

(x * 5) = (0.75 *8)

X=6/5 = 1.20

**3**.) If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?

**A**.) Rs. 182

**B**.) Rs. 190

**C**.) Rs. 196

**D**.) Rs. 204

**View Answer**

**Answer: **Option **D**

**Explanation:**

Given ratio = 1/2:2/3:3/4 = 6:8:9

1st part = Rs. (782 * 6/23) = Rs. 204

**4**.) A sum of Money is to be distributed among A, B, C, D in the proportion of 5:2: 4:3. If C gets Rs. 1000 more than D, what is B’s share?

**A**.) Rs. 500

**B**.) Rs. 1500

**C**.) Rs. 2000

**D**.) None of these

**View Answer**

**Answer: **Option **C**

**Explanation:**

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x – 3x = 1000 --> x = 1000.

B’s share = Rs. 2x = Rs. (2 **x **1000) = Rs. 2000.

**5**.) If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:

**A**.) 12

**B**.) 15

**C**.) 16

**D**.) 19

**View Answer**

**Answer: **Option **A**

**Explanation:**

Given ratio = 7: 5: 3: 4, Sum of ratio terms = 19.

Smallest part = (76 * 3/19) = 12