Read the following and answer the questions that follows.
During a cricket match. India playing against NZ scored in the following manner:
`{:("Partnership", "Runs scored"),( "1st wicket", 112),( "2nd wicket" ,58), ("3rd wicket", 72),("4th wicket" ,92),("5th wicket" ,46),("6th wicket", 23):}`
If the fifth down batsman gets out for a duck, then find the average runs scored by the first six batsmen.

Options

A. 67.1
B. 63.3
C. 48.5
D. Cannot be determined

Answer

To solve the problem step by step, we need to calculate the average runs scored by the first six batsmen, considering that the fifth down batsman scored a duck (0 runs).

### Step 1: Identify the runs scored by each batsman
We have the following runs scored by the batsmen:
- 1st wicket: 112 runs
- 2nd wicket: 58 runs
- 3rd wicket: 72 runs
- 4th wicket: 92 runs
- 5th wicket: 0 runs (since the batsman got out for a duck)
- 6th wicket: 23 runs

### Step 2: Calculate the total runs scored by the first six batsmen
Now, we will sum these runs:
\[ \text{Total Runs} = 112 + 58 + 72 + 92 + 0 + 23 \]

Calculating this step by step:
- \(112 + 58 = 170\)
- \(170 + 72 = 242\)
- \(242 + 92 = 334\)
- \(334 + 0 = 334\)
- \(334 + 23 = 357\)

So, the total runs scored by the first six batsmen is \(357\).

### Step 3: Calculate the average runs scored
The average is calculated by dividing the total runs by the number of batsmen. Here, we have 6 batsmen:
\[ \text{Average} = \frac{\text{Total Runs}}{\text{Number of Batsmen}} = \frac{357}{6} \]

Now, let's perform the division:
- \(6\) goes into \(35\) five times (because \(6 \times 5 = 30\)), leaving a remainder of \(5\).
- Bring down the \(7\) to make it \(57\).
- \(6\) goes into \(57\) nine times (because \(6 \times 9 = 54\)), leaving a remainder of \(3\).
- Therefore, \(357 \div 6 = 59.5\).

### Final Result
The average runs scored by the first six batsmen is \(59.5\).