For the second qn, I can think of the next term only which is
41/264.
7/8, 2/3, 1/2, 4/11, 1/4, ____ _____
Convert them to LCD.
231/264, 176/264, 132/264, 96/264, 66/264.
I see it as a number pattern.
231, 176, 132, 96, 66
Breaking it down further by their differences.
55, 44, 36, 30
Breaking it down further again by their differences.
11, 8, 6
Notice that the difference from 11 to 8 is 3 and from 8 to 6 is
2.
Thus, the next number is 5.
55, 44, 36, 30, 25
This implies that 231, 176, 132, 96, 66, 41.
Answer sure looks wierd.