Question
Download Solution PDFWhat is the unit's digit in 366 × 641 × 753
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 7
366 × 641 × 753
Concept:
The unit digit of power of a number repeats itself every 4th time
Calculation:
unit digit of 366
⇒ 66/4
⇒ 2 (As cyclicity of 3 is 4)
Hence, the last digit = 32
⇒ 9
Also, the unit digit of 641 = 6
Also, the unit digit 753
⇒ 53/4
⇒ 1 (As cyclicity of 7 is 4)
Hence, the last digit = 71
⇒ 7
Now, multiply both
⇒ 9 × 6 × 7 = 378
∴ The unit digit is 8.
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