If X,Y and Z are three consecutive multiples of 5. Then which of the following will the factor of X*Y*Z
1) 125
2) 250
3) 375
4) 750	Select: A) only 1 B) 1,2 C) 1,3 D) 1,2,3 E) All of them
Given choices can be re-written as multiples of 125   1. 125   2. 125*2   3. 125*3   4. 125*6   Now if, 5*a = X, then   5*(a+1) = Y &amp; 5*(a+2)   5*( +1)= 
<gadget id="calculator">  5*( +1)</gadget>
<output>5</output>
Y &amp; 5*(a+2)= Z   So, X*Y*Z = 125* a(a+1)(a+2)   Now, among any 3 consecutive positive integers, we will either have (a number that is divisible by both 2 &amp; 3) or (a number divisible by 2 and another number divisible by 3).   Ex:   17, 18, 19 -&gt; 18 divisible by 2 &amp; 3.   14, 15,16 -&gt; 14, 16 divisible by 2 &amp; 15 divisible by 3.   Hence 'All of them'
<result>E</result>
If X,Y and Z are three consecutive multiples of 5. Then which of the following will the factor of X*Y*Z
1) 125
2) 250
3) 375
4) 750