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Question


Find the tens place of the number 7281×3264.


Options:
A .   2
B .   4
C .   6
D .   8
Answer: Option C
:
C

To find the tens place, we need to find the remainder when this number is divided by 100.
7281100r=((74)70×71)100r=((..49×..49)70×71)100r=((..01)70×07)100r=..07
Similarly, 3264100r=(34)66100r=(32×32)66100r=(09×09)66100r=8166100r=..81
(66 is of the form 5n+1, and the tens digit of 81n repeats after a cycle of 5)


Answer is the tens digit of 07×81=..6.



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