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Indian Economy - Understanding the basics of Indian economic system

Which one of the following is the remainder when 74¹⁰⁰ is divided by 9?

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EPFO AO EO 2021

To find the remainder of 74¹⁰⁰divided by 9:

1. 74 divided by 9 leaves a remainder of 2.

2. Thus, 2¹⁰⁰ divided by 9 will also give the same remainder as 74¹⁰⁰divided by 9.

3. Now, 2¹⁰⁰= 8³³ * 2 divided by 9 will have same remainder as when (-1)³³* 2 = -2 divided by 9

4. -2 + 9 = 7 is the remainder i.e. is the answer.

Option 4: 7 is the correct remainder.