In a certain code,
'great people gathering' is coded as 'sc nj gy'
'great minds together' is coded as 'xg jp sc'
'read people minds' is coded as 'nj ys jp'
(all the codes are two letter coded only)
What is the code for 'together gathering'?

The correct option is xg gy.

To find the code for the phrase 'together gathering', we can analyze the given coded sentences and extract the code for each individual word step-by-step:

Step 1: Find the code for 'great'
We compare the first two sentences:
1. 'great people gathering' is coded as 'sc nj gy'
2. 'great minds together' is coded as 'xg jp sc'
The common word in both sentences is 'great', and the common code in their respective codes is 'sc'.
Therefore, the code for 'great' is 'sc'.

Step 2: Find the code for 'people'
Now we compare the first and the third sentences:
1. 'great people gathering' is coded as 'sc nj gy'
3. 'read people minds' is coded as 'nj ys jp'
The common word is 'people', and the common code is 'nj'.
Therefore, the code for 'people' is 'nj'.

Step 3: Find the code for 'gathering'
Looking back at the first sentence, 'great people gathering' is coded as 'sc nj gy'.
Since we know 'great' is 'sc' and 'people' is 'nj', the remaining word 'gathering' must be coded as the remaining code, which is 'gy'.

Step 4: Find the code for 'together'
Let us compare the second and the third sentences to identify the code for 'minds':
2. 'great minds together' is coded as 'xg jp sc'
3. 'read people minds' is coded as 'nj ys jp'
The common word is 'minds', and the common code is 'jp'. Thus, 'minds' is coded as 'jp'.
Now, look at the second sentence: 'great minds together' is coded as 'xg jp sc'.
We know 'great' is 'sc' and 'minds' is 'jp'. Therefore, the remaining word 'together' must be coded as 'xg'.

Step 5: Combine the codes
Combining the codes for 'together' and 'gathering', we get:
- 'together' ⇒ 'xg'
- 'gathering' ⇒ 'gy'
Thus, the code for 'together gathering' is 'xg gy'.