karthikpandian19 wrote:Q is a two digit number. If 7 is the tens digit of q, what is the units digit of q to the 4th?
1) q is an even integer.
2) q is not a multiple of 5.
The reason i am posting this is, I could not able to understand the question????? Or is it the Question is wrong?
Source of this question:
https://businessmajors.about.com/od/gmat ... TQues2.htm
The tens digit is irrelevant.
The determine the units digit of q�, we need to raise the units digit of q to the 4th power.
The units digit of the result will be the units digit of q�.
Statement 1: q is even.
The units digit could be 0,2,4,6,8.
0� = 0, implying a units digit of 0.
2� = 16, implying a units digit of 6.
Since the units digit can be different values, INSUFFICIENT.
Statement 2: q is not a multiple of 5.
The units digit could be 1,2,3,6,7,8,9.
1� = 1, implying a units digit of 1.
2� = 16, implying a units digit of 6.
Since the units digit can be different values, INSUFFICIENT.
Statements 1 and 2:
The units digit could be 2,4,6,8.
2� = 16, implying a units digit of 6.
4� = 16*16. Since 6*6 =36, the units digit = 6.
6� = 36*36. Since 6*6 =36, the units digit = 6.
8� = 64*64. Since 4*4=16, the units digit = 6.
In each case, the units digit of q� is 6.
SUFFICIENT.
The correct answer is
C.
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