1/ A test comprises two parts (A, B), each with 5 questions. If a candidate must solve 6 problems but is not permitted to attempt to solve more than 4 problems from each of the two parts, then in how many ways can he select the questions? Answer (not confirmed) 200
2/ A box contains 2 white balls, 3 black balls and 4 red. In how many ways can 3 balls be drawn, if at least one MUST be black.
Answer (not confirmed) 64.
3/ A reflection of a positive integer is obtained by reversing its digits. Example of ETS: 321 and 123. The difference of a five digit integer and its reflection MUST be divisible by:2,4, 5, 6, 9
OA: 9
I receive by the try and error method that as a general rule then number is divisible by 2,4,6,9 and a weird numbers like this give the OA:
45008-80045=-35037, 8009-9008=999
Do you have a more stightforward idea how to approach it?