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What is the digit that will come at the unit’s place in the result of (423)423 × (1237)28 ?

What is the digit that will come at the unit’s place in the result of (423)423 × (1237)28 ? Correct Answer 7

Given:

(423)423 × (1237)28

Concept:

Consider only last digit

In 423 last digit is 3

In 1237 last digit is 7

Powers given is 423 and 28

We have to divide powers by 4 (by rule of cyclicity)

423/4 = Remainder 3

28/7 = Remainder 0 or 4

Now put these values over last digits of the main question what we have mention above

33 × 74

⇒ 7 × 1 = 7 

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