If integers ending in zero are excluded, what is the units digit of the product of the even integers from 202 to 298, inclusive?  Choose the correct answer:
A) 2 B) 4 C) 6 D) 8 E) 9
In such questions, it is of utmost importance that you select the list in a smart way.   Following will be the list of even integers:   202, 204, 206, 208 - Units digit of the product = units digit of 2*4*6*8 = 4   212, 214, 216, 218   222, 224, 226, 228   232, 234, 236, 238   .   .   .   .   282, 284, 286, 288   292, 294, 296, 298   We have 10 such sets, the units digit of which is 4   Hence the units digit of the whole product = units digit of 4^10   Since the cyclicity of 4 is 2, units digit of 4^10 = units digit of 4^2 = 6   6orrect Option: 6
<result>C</result>
If integers ending in zero are excluded, what is the units digit of the product of the even integers from 202 to 298, inclusive?