What is the unit's digit in 366 × 641 × 753  

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 3)
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  1. 8
  2. 3
  3. 6
  4. 7

Answer (Detailed Solution Below)

Option 1 : 8
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Detailed Solution

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Given: 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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