Whose body weight is second highest among the five boys Arun, Vinay. Suraj, Raju and Pratap?
I. Average weight of Arun, Suraj and Vinay is 68 kg and average weight of Raju and Pratap is 72 kg. Also, Suraj is 78 kg, Raju is 68 kg and Vinay is 46 kg.
II. Average weight of Arun, Suraj, Vinay and Raju is 68 kg and also Suraj is 78 kg, Raju is 68 kg and Vinay is 46 kg. All of them have different weight.

Options

A. If the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
B. If the Statement II alone is sufficient to answer the question but the Statement alone is not sufficient
C. If both Statements I and II together are needed to answer the question
D. If either the Statement I alone or Statement II alone is sufficient to answer the question

Answer

To determine whose body weight is the second highest among the five boys Arun, Vinay, Suraj, Raju, and Pratap, we will analyze the information provided in both statements step by step.

### Step 1: Analyze Statement I
- **Given Information:**
- Average weight of Arun, Suraj, and Vinay = 68 kg
- Average weight of Raju and Pratap = 72 kg
- Suraj's weight = 78 kg
- Raju's weight = 68 kg
- Vinay's weight = 46 kg

- **Calculating Total Weights:**
- From the average weight of Arun, Suraj, and Vinay:
\[ \frac{A + S + V}{3} = 68 \implies A + S + V = 204 \text{ kg} \]
Substituting Suraj's weight:
\[ A + 78 + 46 = 204 \implies A + 124 = 204 \implies A = 80 \text{ kg} \]

- From the average weight of Raju and Pratap:
\[ \frac{R + P}{2} = 72 \implies R + P = 144 \text{ kg} \]
We know Raju's weight:
\[ 68 + P = 144 \implies P = 76 \text{ kg} \]

- **Weights Summary:**
- Arun = 80 kg
- Suraj = 78 kg
- Vinay = 46 kg
- Raju = 68 kg
- Pratap = 76 kg

### Step 2: Identify the Weights
- Now we have the weights:
- Arun = 80 kg
- Suraj = 78 kg
- Raju = 68 kg
- Vinay = 46 kg
- Pratap = 76 kg

### Step 3: Determine the Second Highest Weight
- Arranging the weights in descending order:
1. Arun = 80 kg
2. Suraj = 78 kg
3. Pratap = 76 kg
4. Raju = 68 kg
5. Vinay = 46 kg

- **Conclusion:**
The second highest weight is that of Suraj, which is 78 kg.

### Step 4: Analyze Statement II
- **Given Information:**
- Average weight of Arun, Suraj, Vinay, and Raju = 68 kg
- Suraj's weight = 78 kg
- Raju's weight = 68 kg
- Vinay's weight = 46 kg
- All weights are different.

- **Calculating Total Weights:**
- From the average weight of Arun, Suraj, Vinay, and Raju:
\[ \frac{A + S + V + R}{4} = 68 \implies A + S + V + R = 272 \text{ kg} \]
Substituting known weights:
\[ A + 78 + 46 + 68 = 272 \implies A + 192 = 272 \implies A = 80 \text{ kg} \]

- **Weights Summary:**
- Arun = 80 kg
- Suraj = 78 kg
- Raju = 68 kg
- Vinay = 46 kg
- Since all weights are different, Pratap must have a weight different from the others.

### Step 5: Conclusion from Both Statements
- Both statements provide consistent information about the weights of the boys.
- The second highest weight remains Suraj at 78 kg.

### Final Answer
- The body weight that is second highest among the five boys is Suraj's weight of 78 kg.