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Question

Find the tens place of the number 7281×3264.


A

2

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B

4

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C

6

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D

8

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Solution

The correct option is C

6


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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