What is the number in the unit place in (5427)641?a)1b)7c)9d)3e)NoneCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

There is a repetition cycle of unit digit after every power of 4

like 7^1= 7, 7^2=49, 7^3= 343, 7^4=2401, 7^5=16807 so on...

so first divide power by 4 remainder will come 1 then 1 power of 7 gives 7 as a unit digit number.

Answer

To find the number in the unit place in the given expression (5427)641, we need to focus on the number in the unit place of each part of the expression and calculate the result step by step.

Let's break down the given expression into parts:

1. (5427)641 = (5427) × 641

Now, let's find the number in the unit place of each part:

- (5427) has a number in the unit place of 7.
- 641 has a number in the unit place of 1.

Next, let's multiply these two numbers:

7 × 1 = 7

Therefore, the number in the unit place of the expression (5427)641 is 7.

Hence, the correct answer is option B) 7.

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