AB is a two-digit number where A is the digit in the tens place and B is the digit in the units place. The product of A and B is zero. The unit digits...

Question

AB is a two-digit number where A is the digit in the tens place and B is the digit in the units place. The product of A and B is zero. The unit digits of A3A^3, A2A^2, and AA are the same, where A is the units digit of the given number. Which of the following options contains values nearest to the possible values of the two-digit number AB?

Options

A.

9, 49 & 64

B.

9, 36 & 100

C.

64, 81 & 121

D.

196, 121 & 16

number systemdigitsunits digittwo-digit numberproperties of powers

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