book Maths Puzzle Numerical Ability

Dealing with contradiction: Show that for any positive integer a and any prime p, if p is divides a, then p does not divide a+1.

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book Other Question

I need to solve

square root x+5 = 8

would I get square root x -3
Evaluate the determinant

2 -1 -3
5 9 4
7 6 -2