In a certain code '786' means 'study very hard', 958' means 'hard work pays' and '645' means 'study and work'. Which of the following is the code far 'very' ?

Options

A. 8
B. 6
C. 7
D. cannot be determined

Explanation

To solve the problem, we need to decode the words based on the given codes. Let's break it down step by step:

### Step 1: Analyze the Codes
We have three codes with their corresponding meanings:
1. **786** means **study very hard**
2. **958** means **hard work pays**
3. **645** means **study and work**

### Step 2: Identify Common Words
We need to find out which digit corresponds to the word "very".

#### Comparing the First and Second Codes:
- **786** (study very hard)
- **958** (hard work pays)

The common word in both codes is **hard**.
- The digit that appears in both codes is **8**.
Thus, **8 = hard**.

### Step 3: Compare the First and Third Codes
Now, let's compare the first and third codes:
- **786** (study very hard)
- **645** (study and work)

The common word here is **study**.
- The digit that appears in both codes is **6**.
Thus, **6 = study**.

### Step 4: Determine the Code for "Very"
Now we have:
- **6 = study**
- **8 = hard**

In the first code (786), the remaining digit is **7**. Since we have already identified the codes for "study" and "hard", the remaining word "very" must correspond to the remaining digit.

Thus, **7 = very**.

### Conclusion
The code for "very" is **7**.

### Final Answer
The code for "very" is **7**.

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