In a certain code '786' means 'Study very hard', '958' means 'Hard work pays', '645' means 'Study and work', which is the code for 'very' ?

Question

Accepted Answer

To determine the code for 'very', we need to analyze the given code phrases and their corresponding meanings:

1. '786' means 'Study very hard'
2. '958' means 'Hard work pays'
3. '645' means 'Study and work'

Let's break down the information:

- The word 'hard' appears in both the first and second phrases ('786' and '958'). The common digit between these two codes is '8'. Therefore, '8' is the code for 'hard'.
- The word 'study' appears in the first and third phrases ('786' and '645'). The common digit between these two codes is '6'. Therefore, '6' is the code for 'study'.
- Now, we know that '8' is for 'hard' and '6' is for 'study'. In the first code '786', the remaining digit '7' must correspond to the word 'very', as 'hard' and 'study' have already been accounted for.

Therefore, the code for 'very' is '7', which corresponds to Option 3.

Explanation for why other options are incorrect:

1. Option 1 (8): We have determined that '8' is the code for 'hard', not 'very'.
2. Option 2 (6): We have determined that '6' is the code for 'study', not 'very'.
3. Option 4 (5): The digit '5' appears in the second and third codes ('958' and '645'), which do not include the word 'very'. Therefore, '5' cannot be the code for 'very'.

Thus, the correct answer is Option 3, as '7' is the code for 'very'.