Collection of questions-by Zarrolou

I decided to collect here the PS and DS questions I made. I'll update this post with new ones

DS:
1)If n= p^2-p+17, is n prime?

1)p is prime

2)p is an integer less than 17
if-n-p-2-p-17-is-n-prime-152728.html

2)Is 2|xy^2|> 0?

(1) x > 0

(2) xy > 0
is-2-xy-152250.html

3)Is |p|^2<|p| ?

1.p^2\leq{1}

2.p^2-1\neq{0}
is-p-2-p-151153.html

4)If y=\frac{|x+1|}{x} and x\neq{}0, is xy>0 ?

A)x^2+2x+1>0

B)y\neq{0}
if-y-x-1-x-and-x-0-is-xy-152900.html

PS:
1)If x,y are numbers >0 and 2^x*5^y=400, what could be the value of x?

I)2
II)3
III)4
if-x-y-are-numbers-0-and-2-x-5-y-152210.html

2)How many values can the integer p=|x+3|-|x-3| assume?

A)6
B)7
C)13
D)12
E)Cannot be determined
how-many-values-can-the-integer-p-x-3-x-3-assume-152859.html

Enjoy!