If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 5x+ 5y >5z
III. yz > xz
IV. xy > y + z  Choose one
A) I only
B) II only
C) II and III only
D) II and IV only
E) III and IV only
we do not know the values or the relative values but that the three are consecutive..   so the max difference in any two number is 2 and min 1..   lets see the choices..   I. x &gt; z...   we do not know the values or the relative values... need not be true..   II. 5x+ 5y &gt;5z or x+ y &gt; z   we take the worst case that z is teh largest and x and y are lowest possible..... so 2+3&gt;4.. 5&gt;4.. always true   III. yz &gt; xz   we do not know the values or the relative values between x and y..need not be true   IV. xy &gt; y + z   xy-y&gt;z or y(x-1)&gt;z...   again lets take the worst scenario..   we take the worst case that z is the largest and x and y are lowest possible..... so (2-1)3&gt;4.. 3&gt;4.. not true   only ii is true   ans II only
<result>B</result>
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 5x+ 5y >5z
III. yz > xz
IV. xy > y + z